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["Document Purpose and Disclaimers"]
["W. Grammer, NRAO"]
["Updated: ","2018-10-23"]
[]
["The purpose of this document is to help summarize various receiver configuration options under study for a next-generation Very Large Array telescope (ngVLA), and compare and contrast their principal features and current predicted performance. In brief, these are the so-called 'Reference' configuration, and two wideband configurations. Details of these were presented at the US Radio Futures (Kavli II & III) meetings in 2016 and 2017, and at the URSI and AAS meetings in 2017 and 2018. Feed configurations have evolved for the Reference configuration, initially from mostly uncooled high-gain conical horns with 15 degree beam angle, to cooled low-gain conical and quad-ridged horns with ~55 degree beam angle."]
[]
["The overall aperture efficiencies for all bands assume the new shaping function for the antenna optics proposed by Lynn Baker in his report, \"Analysis of ngVLA Design #6 With Ideal and Actual Feed\", ngVLA Doc# 020.25.01.00.00-0001-REP, January 2018. For now, the overall efficiencies for quad-ridge type feeds are estimates: these will be analyzed with the new shaping function at a future date."]
[]
["In this revision of the document,Tsys for the Reference Configuration alone has been modified to include a noise contribution (~1 K) from the IRD module. Trx is still assumed to include only contributions from the Front End dewars. The Wideband configuration already has a contribution for this added."]
[]
["The values for (Tsys/η) shown in the Relative sensitivity plot depend on atmospheric water vapor, elevation angle, and the surface accuracy of the dish, the values of which are listed above the plot. All of these are editable, with three different choices for PWV selectable (1, 6 or 13 mm), and two choices for elevation angle (45 degrees or Zenith). The dish surface accuracy σ, shown at the top right, affects overall aperature efficiency η. The default value is 160 um, but is also editable. Changing these values automatically updates the values of (Tsys/η) on each of four plotted configurations."]
[]
["The following important disclaimers should be noted when using the information in this document:\n\n- The ngVLA receiver configurations presented are conceptual and preliminary: they are not a final design.\n- Predictions on ngVLA receiver and feed performance are also preliminary, and subject to change.\n- Assumptions listed for the antenna optics do not represent what will necessarily be used in a final design.\n- The work shown represents a snapshot in time, and can (and likely will) evolve and be refined."]

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["Notes and Revision History"]
[{"$f":"Rev_date","v":"2018-10-23"},"WLG"]
[]
["GENERAL NOTES:"]
["1.  Sky temp (Tsky) is assumed for VLA site. PWV is from Butler (2016), and selectable as 1mm, 6mm (default) or 13mm. "]
["2.  Aperture efficiency includes all contributions from the feed and antenna (illumination, spillover, phase, surface, etc.)"]
["3.  Spillover and feed leg scattering are included in Tsys, where they can be predicted."]
["4.  Surface accuracy is an editable parameter; changing it will update the overall aperture efficiencies."]
["5.  Antenna elevation is selectable as either zenith or 45 degrees (default); dynamically changes Tsky and Tspill."]
["6.  All configurations assume optimally-shaped offet-Gregorian, \"feed arm low\" antenna optics. Spillover estimates per L. Baker (2018)."]
["7.  The Array SEFD assumes an array of 244 x 18-meter and 19 x 6-meter diameter antennas."]
[]
["REVISION HISTORY (from ver. 4.0):"]
["1.  (4.1) Baseline config. Band 1-2 boundary changed from 3.9 to 3.5 GHz, to allow direct sampling of Band 1 at 7 Gsps. "]
["2.  (4.1) Baseline config. Band 2-3 boundary changed from 12.6 to 12.3 GHz, to keep Band 2 fractional BW to within 3.5:1. "]
["3.  (4.1) Baseline config. Band 3-4 boundary changed from 21 to 20.5 GHz, to keep Band 3 fractional BW to within 1.67:1. "]
["4.  (4.1) Baseline config. Band 4 upper frequency changed from 35 to 34 GHz, to keep Band 4 fractional BW to within 1.67:1. "]
["5.  (4.1) Baseline config. Band 2 moved from Dewar 'A' to Dewar 'B', for cleaner packaging, more even division of mass."]
["6.  (4.2) Aperture efficiencies for Caltech QRFH taken from an approximate best-fit curve of their data, to remove the ripple."]
["7.  (4.2) Spillover temperatures for Caltech QRFH taken from an approximate best-fit curve of their data, to remove the ripple."]
["8.  (4.3) Aperture efficiencies for all bands were adjusted for a new mapping function by Lynn Baker (Jan. 2018)."]
["9.  (4.3) All configurations now include a weather radome and directional coupler for noise injection, by default."]
["10.  (4.4) Trx has been refined for Bands 1-6 in the Reference configuration, and the 70-116 GHz band in the other two configurations."]
["11.  (4.5) A PWV of 1mm is assumed by default in all performance plots for the 70-116 GHz band (UWB Configuration only, Band 3)."]
["12.  (4.6) A PWV of 1mm is assumed by default in all performance plots for the 70-116 GHz band (all configurations)."]
["13.  (4.7) T_LNA and T_RX are updated with results from the latest cascaded analysis and LNA device selection."]
["14.  (4.8) Band 1 & 2 Trx, Tspill and aperture efficiency were updated, as well as Band 4 T_LNA, from revised cascade analysis."]
["15.  (4.9) SEFD values updated for expanded ngVLA scope."]
["16.  (4.10) Tsys on Reference tab increased by 1K across the board, to include the IRD (downconverter) contribution."]

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["EVLA Receivers and Antennas"]
["- All 8 bands have circularly-polarized outputs."]
["- Trx includes contribution from both receiver and feedhorn, and Tsys includes a weather radome (T_RAD), for comparison with other configs."]
["- Trx highlighted in red may need to be revised to better reflect averages from lab measurements."]
["- Full feedhorn noise contribution over receiver test data is ~3K for L&S bands, ~1K for C&X bands, and 0K for Ku, K, Ka and Q bands."]
["- Antenna is a symmetric Cassegrain, with highly-shaped optics."]
["- Antenna aperture efficiency and spillover numbers are from EVLA Project Book and Memo series. A 45 degree elevation angle is assumed."]
["- Antenna surface (Ruze) efficiency is included in the aperture efficiency shown. Surface accuracy assumed from EVLA specification (400 um)."]
["- L-band feed horn is a compact design that has lower illumination efficiency, to reduce spillover at low elevation angles."]
["- Tsky values provided by B. Butler (NRAO), modeling opacity at VLA site, for zenith and 45 deg. elevations (selectable on Rel. Sensitivity tab)."]
[]
[null,"Band\n#","Dewar\n#","fL\nGHz","fM\nGHz","fH\nGHz","fH: fL","BW\nGHZ","Feed Horn Properties",null,null,"OMT","Pol.\nOut","Aperture Eff., ηA",null,null,"Spillover, K"]
[null,null,null,null,null,null,null,null,"Temp","L, in.","ID, in.",null,null,"@ fL","@ fM","@ fH","@ fL","@ fM","@ fH"]
[null,"L",1,1.2,1.6,2,{"$f":"F14/D14","v":1.6666666666666667},{"$f":"F14-D14","v":0.8},300,155,57.8,"QR","Circ.",0.51,{"$f":"0.43","v":0.43},{"$f":"0.49","v":0.49},18.600000000000001,15,12]
[null,"S",2,2,3,4,2,2,300,129.80000000000001,42,"QR","Circ.",0.62,0.66,0.66,11,8,7]
[null,"C",3,4,6,8,2,4,300,66,22.1,"QR","Circ.",0.55000000000000004,0.65,0.65,5,5,5]
[null,"X",4,8,10,12,1.5,4,300,50.7,18.5,"QR","Circ.",{"$f":"eApr_VLA_hifreq_noRuze*Ruze(D17,Sigma_VLA)","v":0.56965798349739571},0.56392185048420596,0.55698940159865051,6,6,6]
[null,"Ku",5,12,15,18,1.5,6,300,33.299999999999997,12.3,"WG","Circ.",0.55698940159865051,0.54444947589415904,0.52950565654545101,6,6,6]
[null,"K",6,18,{"$f":"AVERAGE(D19,F19)","v":22.25},26.5,{"$f":"F19/D19","v":1.4722222222222223},{"$f":"F19-D19","v":8.5},300,20.8,8,"WG","Circ.",0.52950565654545101,0.50464440434510316,0.47609080444836283,6,6,6]
[null,"Ka",7,26.5,{"$f":"AVERAGE(D20,F20)","v":33.25},40,1.5094339622641511,13.5,300,14.3,5.4,"WG","Circ.",0.47609080444836283,0.42505887092833461,0.36989874636350595,6,6,6]
[null,"Q",8,40,45,50,1.25,10,300,7,3,"SP","Circ.",0.36989874636350595,0.32824211944096293,0.28721110078351009,6,6,6]
[]
[null,"Band\n#","Dewar\n#","TLNA, K",null,null,"~TRAD \n(K)","TRX, K",null,null,"TSKY, K",null,null,"TSYS, K",null,null,"(TSYS/ηA), K"]
[null,null,null,"@ fL","@ fM","@ fH",null,"@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH"]
[null,"L",1,5.5,5.0999999999999996,5.9,1.4,{"$f":"10.8+T_feed_VLA","v":13.8},{"$f":"9.9+T_feed_VLA","v":12.9},{"$f":"14.3+T_feed_VLA","v":17.3},{"$f":"Tsky_Lookup(D14,Tsky_Data_Table, PWV, PWV_Values, Elev_Angle)","v":4.4000000000000004},4.5,4.5,{"$f":"H25+K25+Q14+$G25","v":38.200000000000003},33.799999999999997,35.199999999999996,{"$f":"N25/N14","v":74.901960784313729},78.604651162790688,71.836734693877546]
[null,"S",2,5.7,6.2,6.8,1.4,{"$f":"14+T_feed_VLA","v":17},{"$f":"13.3+T_feed_VLA","v":16.3},{"$f":"21.2+T_feed_VLA","v":24.2},4.5,4.5,4.5999999999999996,33.9,30.2,37.199999999999996,54.677419354838705,45.757575757575758,56.363636363636353]
[null,"C",3,5.8,5,5.3,1.4,{"$f":"(D27+5.5)+(T_feed_VLA-2)","v":12.3},{"$f":"(E27+5.5)+(T_feed_VLA-2)","v":11.5},{"$f":"(F27+5.5)+(T_feed_VLA-2)","v":11.8},4.5999999999999996,4.7,4.8,23.299999999999997,22.599999999999998,23,42.363636363636353,34.769230769230766,35.384615384615387]
[null,"X",4,7.2,4.5,6.6,2,{"$f":"10.8+(T_feed_VLA-2)","v":11.8},{"$f":"9.7+(T_feed_VLA-2)","v":10.7},{"$f":"13.9+(T_feed_VLA-2)","v":14.9},4.8,5,5.3,24.6,23.7,28.2,43.183806270859478,42.027099995593765,50.629329604946513]
[null,"Ku",5,7.8,5,8.1999999999999993,2,{"$f":"16","v":16},{"$f":"10.8","v":10.8},{"$f":"15.1","v":15.1},5.3,6,7.8,29.3,24.8,30.9,52.604232532799038,45.55059945511109,58.356317100736476]
[null,"K",6,13.1,8,10,3.5,22.7,12.7,23.6,7.8,22.8,12.1,40,45,45.2,75.542158059205804,89.171701127645051,94.939871927105088]
[null,"Ka",7,16.399999999999999,11.3,19.3,3.5,29.9,16.5,31.7,12.1,12.1,17.8,51.5,38.1,59,108.17264168685647,89.634642647944418,159.50310883730239]
[null,"Q",8,10.9,12.7,14.6,3.5,35.200000000000003,32.200000000000003,42.8,17.8,28.4,62.5,62.5,70.099999999999994,114.8,168.96515766663387,213.56186743916044,399.70599913034806]

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["EVLA-like Receivers (comparison only - not proposed)"]
["- Fractional bandwidths and technology from VLA receivers (except Q, W). Frequency ranges shifted up slightly."]
["- Optimum noise performance:  CDL LNAs, cooled to ~15K. Trx includes feed, window contributions."]
["- Bands 1 & 2 assume OMTs cooled to 50K instead of 15K like on the VLA, resulting in a moderate noise penalty."]
["- 1-50 GHz LNA data from M. Pospieszalski (2008); assumes lowest-noise devices. W-band LNA/RX noise temp data from IRAM."]
["- Feed horn dimensions on all bands assume a subtended beam angle of 15 degrees on the subreflector (S. Srikanth)"]
["- Linearly-polarized outputs on all bands, like ALMA. "]
["- Tsky values provided by B. Butler (NRAO), modeling opacity at VLA site, for zenith and 45 deg. elevations (selectable on Rel. Sensitivity tab)."]
["- Antenna optics assumes unblocked aperture, offset feed (low), shaped optics, and a ground shield for spillover noise reduction."]
["- Feed aperture efficiency uses VLBA Project Book values for feed illumination, spillover and phase. "]
["- Antenna surface (Ruze) efficiency is included in the aperture efficiency shown. Surface accuracy is editable - see Rel. Sensitivity tab."]
["- Spillover noise temp vs. elevation based on model from S. Srikanth. Assumes offset Cassegrain optics, electrically large at all freqs."]
[]
[null,"Band\n#","Dewar\n#","fL\nGHz","fH\nGHz","fH: fL","BW\nGHZ","Feed Horn Properties",null,null,"OMT","Pol.\nOut","TLNA, K"]
[null,null,null,null,null,null,null,"Temp","L (in.)","ID (in.)",null,null,"@ fL","@ fH"]
[null,1,"A",1.2,2.4,{"$f":"E16/D16","v":2},{"$f":"E16-D16","v":1.2},300,{"$f":"(L_feed_freq/D16)*L_feed_length","v":100.7},{"$f":"(L_feed_freq/D16)*L_feed_ID","v":43.8},"QR","Lin.",2.5,3]
[null,2,"B",2.5,5,{"$f":"E17/D17","v":2},{"$f":"E17-D17","v":2.5},300,{"$f":"(L_feed_freq/D17)*L_feed_length","v":48.335999999999999},{"$f":"(L_feed_freq/D17)*L_feed_ID","v":21.023999999999997},"QR","Lin.",3,4]
[null,3,"C",5,10,2,5,300,{"$f":"(L_feed_freq/D18)*L_feed_length","v":24.167999999999999},{"$f":"(L_feed_freq/D18)*L_feed_ID","v":10.511999999999999},"QR","Lin.",4,5]
[null,4,"D",10,15,{"$f":"E19/D19","v":1.5},{"$f":"E19-D19","v":5},300,{"$f":"(Ku_feed_freq/D19)*Ku_feed_length","v":17.760000000000002},{"$f":"(Ku_feed_freq/D19)*Ku_feed_ID","v":10.44},"WG","Lin.",5,6]
[null,5,"E",15,22.5,{"$f":"E20/D20","v":1.5},{"$f":"E20-D20","v":7.5},300,{"$f":"(Ku_feed_freq/D20)*Ku_feed_length","v":11.840000000000002},{"$f":"(Ku_feed_freq/D20)*Ku_feed_ID","v":6.96},"WG","Lin.",6,8]
[null,6,"E",22.5,33.6,1.4933333333333334,11.100000000000001,300,{"$f":"(Ku_feed_freq/D21)*Ku_feed_length","v":7.8933333333333335},{"$f":"(Ku_feed_freq/D21)*Ku_feed_ID","v":4.6399999999999997},"WG","Lin.",8,10]
[null,7,"E",33.6,50,1.4880952380952381,16.399999999999999,20,{"$f":"(Ku_feed_freq/D22)*Ku_feed_length","v":5.2857142857142865},{"$f":"(Ku_feed_freq/D22)*Ku_feed_ID","v":3.1071428571428568},"WG","Lin.",10,14]
[null,8,"E",70,116,1.6571428571428573,46,20,{"$f":"(Ku_feed_freq/D23)*Ku_feed_length","v":2.5371428571428574},{"$f":"(Ku_feed_freq/D23)*Ku_feed_ID","v":1.4914285714285713},"WG","Lin.",45,50]
[]
[null,"Band\n#","Dewar\n#","TRX, K",null,"TSKY, K",null,"Spillover, K",null,"TSYS, K",null,"Aptr. Eff., ηA",null,"TSYS/ηA, K"]
[null,null,null,"@ fL","@ fH","@ fL","@ fH","@ fL","@ fH","@ fL","@ fH","@ fL","@ fH","@ fL","@ fH"]
[null,1,"A",{"$f":"6+Warmer_OMT_Noise_Penalty","v":10},{"$f":"7+Warmer_OMT_Noise_Penalty","v":11},{"$f":"Tsky_Lookup(D16,Tsky_Data_Table, PWV, PWV_Values,Elev_Angle)","v":4.4000000000000004},4.5,{"$f":"Spill_Cass(Elev_Angle)","v":2.7068136478576692},2.7068136478576692,{"$f":"D27+F27+H27","v":17.10681364785767},18.206813647857668,{"$f":"eAptr_VLBA_unblocked*Ruze(D16,Sigma_ngVLA)","v":0.83924783929563862},0.83908477830695016,{"$f":"J27/L27","v":20.383506333736914},{"$f":"K27/M27","v":21.698419657420285}]
[null,2,"B",{"$f":"7+Warmer_OMT_Noise_Penalty","v":11},{"$f":"8+Warmer_OMT_Noise_Penalty","v":12},4.5,4.5999999999999996,2.7068136478576692,2.7068136478576692,18.206813647857668,19.30681364785767,0.83906628496400981,0.83835893765417913,{"$f":"J28/L28","v":21.698897898917028},{"$f":"K28/M28","v":23.029293039900388}]
[null,3,"C",8,10,4.5999999999999996,5,2.7068136478576692,2.7068136478576692,15.30681364785767,17.706813647857668,0.83835893765417913,0.83553550644949603,18.258066992984919,21.192173774996785]
[null,4,"D",9,10,5,6,2.7068136478576692,2.7068136478576692,16.706813647857668,18.706813647857668,0.83553550644949603,0.83085090256025318,19.995336546320083,22.515247429127097]
[null,5,"E",10,13,6,23,2.7068136478576692,2.7068136478576692,18.706813647857668,38.706813647857672,0.83085090256025318,0.82040635171023302,22.515247429127097,47.180051162657129]
[null,6,"E",13,19,23,12.2,2.7068136478576692,2.7068136478576692,38.706813647857672,33.906813647857668,0.82040635171023302,0.79774607709849699,47.180051162657129,42.503265915366228]
[null,7,"E",19,27,12.2,62.5,2.7068136478576692,2.7068136478576692,33.906813647857668,92.206813647857672,0.79774607709849699,0.75003594635840409,42.503265915366228,122.93652603657574]
[null,8,"E",{"$f":"10+M23","v":55},{"$f":"20+N23","v":70},74.599999999999994,122.6,2.7068136478576692,2.7068136478576692,132.30681364785767,195.30681364785767,{"$f":"eAptr_3mm*Ruze(D23,Sigma_ngVLA)","v":0.63288834705186203},{"$f":"eAptr_3mm*Ruze(E23,Sigma_ngVLA)","v":0.43071480753138441},209.05237750730112,453.44810587601279]

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["ngVLA 'Reference' Receiver Configuration"]
["- Outputs on all bands are linearly-polarized, like ALMA. Allows wider fractional bandwidth than with CP outputs"]
["- All bands now include an extra 1K contribution to Tsys from the IRD (downconverter/digitizer) module."]
["- Bands 3-5 are waveguide-bandwidth (<= 1.67:1), as originally proposed by S. Srikanth. "]
["- Bands 3-6 feed dimensions (55 degree beam angle) scaled from L-band reference horn dimensions provided by Lynn Baker, May 2017"]
["- Bands 3-6 illumination efficiency modeled is for ngVLA antenna optics w/new mapping function (L. Baker, 2018)."]
["- Bands 3-6 Trx includes contributions from: radome, window, IR filter, feed, OMT, cal coupler, LNA and waveguides."]
["- Bands 1-2 assume optimized wideband (~3.5:1) quad-ridge Caltech feeds and LNAs. Band 1 feed cooled to ~80K, Band 2 is ~20K. "]
["- Bands 1-2 aperture efficiency and spillover values from optimized profile (Weiye/Weinreb, June 2017). Use point frequency values."]
["- Band 1-2 values for aperture efficiency assume the SKA antenna mapping function, rather than the ngVLA's. Analysis of that configuration is still pending."]
["- Bands 1-2 Trx includes contributions from: radome/window, IR filter(s), feed, cal coupler, LNA and coax cables. "]
["- Band 6 (W-band) LNA and receiver noise temp data from D. Cuadrado (U. of Manchester) and S. Weinreb (Caltech)."]
["- Tsky values provided by B. Butler (NRAO), modeling opacity at VLA site, for zenith and 45 deg. elevations (selectable on Rel. Sensitivity tab)."]
["- Antenna optics assumes unblocked aperture, offset feed (low) Gregorian, shaped optics, and a ground shield for spillover noise reduction."]
["- Antenna surface (Ruze) efficiency is included in the aperture efficiency shown. Surface accuracy is editable - see Rel. Sensitivity tab."]
["- Bands 3-6 spillover noise temp vs. elevation based on modeling from L. Baker (2018), assuming a secondary mirror of 3.5m aperture."]
["- Band 6 assumes a PWV of 1mm by default when estimating Tsky (i.e., best-case observing conditions)"]
[]
[null,"Band\n#","Dewar\n#","fL\nGHz","fM\nGHz","fH\nGHz","fH: fL","BW\nGHZ","Feed Horn Properties",null,null,null,"OMT","Pol.\nOut"]
[null,null,null,null,null,null,null,null,"Temp","θ, deg","L, in.","D, in."]
[null,1,"A",1.2,{"$f":"SQRT(D21*F21)","v":2.0493901531919199},3.5,{"$f":"F21/D21","v":2.916666666666667},{"$f":"F21-D21","v":2.2999999999999998},80,58,{"$f":"'WB Feed'!K20*('WB Feed'!D20/Reference!D21)","v":13},{"$f":"'WB Feed'!L20*('WB Feed'!D20/Reference!D21)","v":14.173},"QR","Lin."]
[null,2,"B",3.5,6.5612498809297,12.3,3.5142857142857147,8.8000000000000007,20,58,{"$f":"'WB Feed'!K21*('WB Feed'!D21/Reference!D22)","v":4.4571428571428564},{"$f":"'WB Feed'!L21*('WB Feed'!D21/Reference!D22)","v":4.8593142857142846},"QR","Lin."]
[null,3,"B",12.3,15.879231719450409,20.5,1.6666666666666665,8.1999999999999993,{"$f":"IF(Feed_type=\"Narrow\",300,20)","v":20},{"$f":"Beam_HA_wide","v":55},{"$f":"(DVA1_feed_freq/$D23)*DVA1_feed_length","v":1.1376910569105689},{"$f":"(DVA1_feed_freq/$D23)*DVA1_feed_OD","v":2.086634146341463},"WG","Lin."]
[null,4,"B",20.5,26.40075756488817,34,1.6585365853658536,13.5,{"$f":"IF(Feed_type=\"Narrow\",300,20)","v":20},{"$f":"Beam_HA_wide","v":55},{"$f":"(DVA1_feed_freq/$D24)*DVA1_feed_length","v":0.68261463414634149},{"$f":"(DVA1_feed_freq/$D24)*DVA1_feed_OD","v":1.2519804878048781},"WG","Lin."]
[null,5,"B",30.5,39.246018906380812,50.5,1.6557377049180328,20,{"$f":"IF(Feed_type=\"Narrow\",20,20)","v":20},{"$f":"Beam_HA_wide","v":55},{"$f":"(DVA1_feed_freq/$D25)*DVA1_feed_length","v":0.45880655737704923},{"$f":"(DVA1_feed_freq/$D25)*DVA1_feed_OD","v":0.84149508196721312},"WG","Lin."]
[null,6,"B",70,90.111042608550477,116,1.6571428571428573,46,{"$f":"IF(Feed_type=\"Narrow\",20,20)","v":20},{"$f":"Beam_HA_wide","v":55},{"$f":"(DVA1_feed_freq/$D26)*DVA1_feed_length","v":0.19990857142857144},{"$f":"(DVA1_feed_freq/$D26)*DVA1_feed_OD","v":0.36665142857142857},"WG","Lin."]
[]
[null,"Band\n#","Dewar\n#","Aperture Eff., ηA",null,null,"Spillover, K",null,null,"TLNA, K",null,null,"TRX, K"]
[null,null,null,"@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH"]
[null,1,"A",{"$f":"Ruze(D21,Sigma_ngVLA)*0.8","v":0.7999481848570289},{"$f":"Ruze(E21,Sigma_ngVLA)*0.795","v":0.79484982636824952},{"$f":"Ruze(F21,Sigma_ngVLA)*0.74","v":0.73959236970656961},12.8,10.1,4,2.6,2.8,5,9.9,10.3,13.8]
[null,2,"B",{"$f":"Ruze(D22,Sigma_ngVLA)*0.8","v":0.79955931860169693},{"$f":"Ruze(E22,Sigma_ngVLA)*0.78","v":0.77849108202384876},{"$f":"Ruze(F22,Sigma_ngVLA)*0.77","v":0.76477793366529523},12.8,7,3.9,6.7,7.2,5,13.4,15.4,14.4]
[null,3,"B",{"$f":"Ruze(D23,Sigma_ngVLA)*(eAptr_ngVLArev6_fL)","v":0.84324216322316314},{"$f":"Ruze(E23,Sigma_ngVLA)*(eAptr_ngVLArev6_fM)","v":0.87403059962146612},{"$f":"Ruze(F23,Sigma_ngVLA)*(eAptr_ngVLAver6_fH)","v":0.86254049918025744},{"$f":"Spill_Greg(Elev_Angle)","v":4.0955000000000004},4.0955000000000004,4.0955000000000004,5,8,8.6999999999999993,13.9,16.899999999999999,18.600000000000001]
[null,4,"B",{"$f":"Ruze(D24,Sigma_ngVLA)*(eAptr_ngVLArev6_fL)","v":0.83310225688741579},{"$f":"Ruze(E24,Sigma_ngVLA)*(eAptr_ngVLArev6_fM)","v":0.85671566724811044},{"$f":"Ruze(F24,Sigma_ngVLA)*(eAptr_ngVLAver6_fH)","v":0.83446279382619504},4.0955000000000004,4.0955000000000004,4.0955000000000004,5.7,6,7.8,15.4,16.2,19.5]
[null,5,"B",{"$f":"Ruze(D25,Sigma_ngVLA)*(eAptr_ngVLArev6_fL)","v":0.81420864477073907},{"$f":"Ruze(E25,Sigma_ngVLA)*(eAptr_ngVLArev6_fM)","v":0.82482958669649853},{"$f":"Ruze(F25,Sigma_ngVLA)*(eAptr_ngVLAver6_fH)","v":0.78373814065231262},4.0955000000000004,4.0955000000000004,4.0955000000000004,7.8,8.4,14.1,19.100000000000001,20.399999999999999,26.5]
[null,6,"B",{"$f":"Ruze(D26,Sigma_ngVLA)*(eAptr_ngVLArev6_fL)","v":0.68106501898057359},{"$f":"Ruze(E26,Sigma_ngVLA)*(eAptr_ngVLArev6_fM)","v":0.61352464963455922},{"$f":"Ruze(F26,Sigma_ngVLA)*(eAptr_ngVLAver6_fH)","v":0.47987979272072678},4.0955000000000004,4.0955000000000004,4.0955000000000004,25,26,42,50.6,49,72.599999999999994]
[]
[null,"Band\n#","Dewar\n#","TSKY, K",null,null,"TSYS, K",null,null,"(TSYS/ηA), K",null,null,"Array SEFD, Jy"]
[null,null,null,"@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH"]
[null,1,"A",{"$f":"Tsky_Lookup(D21,Tsky_Data_Table, PWV, PWV_Values, Elev_Angle)","v":4.4000000000000004},4.5,4.5999999999999996,{"$f":"M30+D39+G30+T_IRD","v":28.1},25.9,23.4,{"$f":"G39/D30","v":35.127275155980492},32.584771538970777,31.639050047641593,{"$f":"2*k*J39/Ao_array","v":1.5480587269073141},{"$f":"2*k*K39/Ao_array","v":1.4360106134391335},1.3943326751027554]
[null,2,"B",4.5999999999999996,4.7,5.3,31.8,28.1,24.599999999999998,39.771908425272542,36.095468077743718,32.166200039404089,1.7527476768439123,1.5907269809979043,1.4175641708994942]
[null,3,"B",5.3,6.3,13.6,24.295500000000001,28.295500000000001,37.295500000000004,28.812008056065647,32.373580527105688,43.23912910227979,1.2697449578101581,1.4267034272850583,1.905548063532623]
[null,4,"B",13.6,12.1,12.4,34.095500000000001,33.395499999999998,36.9955,40.925948427250049,38.980844259882602,44.334511105483223,1.8036062102293935,1.7178854855883219,1.9538215393950853]
[null,5,"B",11.1,16.899999999999999,70.3,35.295500000000004,42.395499999999998,101.8955,43.349453763093294,51.399101928189808,130.01217462147679,1.9104100704263274,2.2651579987861945,5.7296354651268393]
[null,6,"B",{"$f":"Tsky_Lookup(D26,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":68.3},{"$f":"Tsky_Lookup(E26,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":15.4},{"$f":"Tsky_Lookup(F26,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":112.3},123.99550000000001,69.495500000000007,189.99549999999996,182.06117851361384,113.27254747041445,395.92311008305091,8.0234346381132884,4.9919202344034916,17.448328201568536]

{"sheet":"WB Feed","index":5,"n_rows":44,"n_cols":15,"rows_kept":44,"cut":false,"hidden":false,"merged":[[38,1,39,1],[38,2,39,2],[24,7,24,10],[31,3,31,6],[31,7,31,10],[31,1,32,1],[31,2,32,2],[31,11,31,14],[38,3,38,6],[38,7,38,10],[24,11,25,11],[38,11,38,14],[17,8,18,8],[17,12,18,12],[24,3,24,6],[17,4,18,4],[17,6,18,6],[17,9,17,11],[17,7,18,7],[17,5,18,5],[17,1,18,1],[17,2,18,2],[17,3,18,3],[24,1,25,1],[24,2,25,2]]}
["ngVLA Wideband (WB) Receiver Configuration"]
["- Outputs on all bands are linearly-polarized, like ALMA. Allows wider fractional bandwidth than with CP outputs"]
["- Band configuration originally proposed by S. Weinreb (Caltech), August 2016"]
["- Bands 1-3 use wideband (~3.5:1) Caltech quad-ridge feeds and LNAs. Band 1 feed cooled to ~80K, others to ~20K. "]
["- Bands 1-3 feed horn dimensions based on a subtended beam angle of 58 degrees to the subreflector."]
["- Band 4 assumes wide-angle corrugated feed (L. Baker). LNA and RX noise temp data from D. Cuadrado (U. of Manchester) and S. Weinreb."]
["- Band 4 illumination efficiency modeled is for ngVLA antenna optics w/new mapping function (L. Baker, 2018)."]
["- Bands 1-3 aperture efficiency and spillover values from optimized profile (Weiye/Weinreb, June 2017)."]
["- The values highlighted in red assume the SKA antenna mapping function, rather than the ngVLA's. Analysis of that configuration is still pending."]
["- Bands 1-3 Trx includes window+IR filter, feed, coax losses (4-8K); also cal coupler and post-amplifier (1.5+0.5K/2.5+0.5K/9+1K). "]
["- Band 3 Tsys has a separate contribution from a weather radome. On Band 4 already has this built in to Tsys; Bands 1 & 2 don't have one."]
["- Tsky values provided by B. Butler (NRAO), modeling opacity at VLA site, for zenith and 45 deg. elevations (selectable on Rel. Sensitivity tab)."]
["- Antenna optics assumes unblocked aperture, offset feed (low) Gregorian, shaped optics, and a ground shield for spillover noise reduction."]
["- Antenna surface (Ruze) efficiency is included in the aperture efficiency shown. Surface accuracy is editable - see Rel. Sensitivity tab."]
["- Band 4 spillover noise temp vs. elevation based on modeling from L. Baker (2018), assuming a secondary mirror of 3.5m aperture."]
["- Band 4 assumes a PWV of 1mm by default when estimating Tsky (i.e., best-case observing conditions)"]
[]
[null,"Band\n#","Dewar\n#","fL\nGHz","fM1\nGHz","fM2\nGHz","fH\nGHz","fH: fL","BW\nGHZ","Feed Horn Properties",null,null,"OMT"]
[null,null,null,null,null,null,null,null,null,"Temp","L, in.","ID, in."]
[null,1,"A",1.2,{"$f":"SQRT(D20*G20)","v":2.2449944320643649},3.4,4.2,{"$f":"G20/D20","v":3.5000000000000004},{"$f":"G20-D20","v":3},80,{"$f":"(QR_WB_freq/D20)*QR_WB_Len","v":13},{"$f":"(QR_WB_freq/D20)*QR_WB_ID","v":14.173},"none"]
[null,2,"A",4.2,8,10,15,3.5714285714285712,{"$f":"G21-D21","v":10.8},20,{"$f":"(QR_WB_freq/D21)*QR_WB_Len","v":3.714285714285714},{"$f":"(QR_WB_freq/D21)*QR_WB_ID","v":4.0494285714285709},"none"]
[null,3,"A",15,23,35,50,3.3333333333333335,35,20,{"$f":"(QR_WB_freq/D22)*QR_WB_Len","v":1.04},{"$f":"(QR_WB_freq/D22)*QR_WB_ID","v":1.13384},"none"]
[null,4,"A",70,90.111042608550477,105,116,1.6571428571428573,46,20,{"$f":"(Ku_feed_freq/D23)*Ku_feed_length","v":2.5371428571428574},{"$f":"(Ku_feed_freq/D23)*Ku_feed_ID","v":1.4914285714285713},"WG"]
[]
[null,"Band\n#","Dewar\n#","Aperture Eff., ηA",null,null,null,"Spillover, K",null,null,null,"~TRAD \n(K)"]
[null,null,null,"@ fL","@ fM1","@ fM2","@ fH","@ fL","@ fM1","@ fM2","@ fH"]
[null,1,"A",{"$f":"0.8*Ruze(D20,Sigma_ngVLA)","v":0.7999481848570289},{"$f":"0.79*Ruze(E20,Sigma_ngVLA)","v":0.78982092841065399},{"$f":"0.725*Ruze(F20,Sigma_ngVLA)","v":0.72462312162161824},{"$f":"0.78*Ruze(G20,Sigma_ngVLA)","v":0.77938135830515065},12.8,9.4,4.5999999999999996,3.9,0]
[null,2,"A",{"$f":"0.8*Ruze(D21,Sigma_ngVLA)","v":0.79936549569759041},{"$f":"0.79*Ruze(E21,Sigma_ngVLA)","v":0.78772908751846837},{"$f":"0.725*Ruze(F21,Sigma_ngVLA)","v":0.72174628182302469},{"$f":"0.78*Ruze(G21,Sigma_ngVLA)","v":0.77214584210192416},12.8,9.4,4.8,4,0]
[null,3,"A",{"$f":"0.8*Ruze(D22,Sigma_ngVLA)","v":0.7919444534378709},{"$f":"0.79*Ruze(E22,Sigma_ngVLA)","v":0.77142433303450819},{"$f":"0.725*Ruze(F22,Sigma_ngVLA)","v":0.68613287383754917},{"$f":"0.78*Ruze(G22,Sigma_ngVLA)","v":0.69704099209981263},10.7,4,4.8,4,3.5]
[null,4,"A",{"$f":"eAptr_ngVLArev6_fL*Ruze(D23,Sigma_ngVLA)","v":0.68106501898057359},{"$f":"eAptr_ngVLArev6_fM*Ruze(E23,Sigma_ngVLA)","v":0.61352464963455922},{"$f":"eAptr_ngVLArev6_fM*Ruze(F23,Sigma_ngVLA)","v":0.53837421885355508},{"$f":"eAptr_ngVLAver6_fH*Ruze(G23,Sigma_ngVLA)","v":0.47987979272072678},{"$f":"Spill_Greg(Elev_Angle)","v":4.0955000000000004},{"$f":"Spill_Greg(Elev_Angle)","v":4.0955000000000004},{"$f":"Spill_Greg(Elev_Angle)","v":4.0955000000000004},{"$f":"Spill_Greg(Elev_Angle)","v":4.0955000000000004},0]
[]
[null,"Band\n#","Dewar\n#","TLNA, K",null,null,null,"TRX, K",null,null,null,"TSKY, K"]
[null,null,null,"@ fL","@ fM1","@ fM2","@ fH","@ fL","@ fM1","@ fM2","@ fH","@ fL","@ fM1","@ fM2","@ fH"]
[null,1,"A",3,3,3,4,{"$f":"2+1+1+D34+2","v":9},{"$f":"2+2+1+E34+2","v":10},{"$f":"2+2+1+F34+2","v":10},{"$f":"2+2+1+G34+2","v":11},{"$f":"Tsky_Lookup(D20,Tsky_Data_Table, PWV, PWV_Values, Elev_Angle)","v":4.4000000000000004},4.5,4.5999999999999996,4.5999999999999996]
[null,2,"A",6,6,7,8,{"$f":"3+1+1+D35+3","v":14},{"$f":"3+1+1+E35+3","v":14},{"$f":"3+1+1+F35+3","v":15},{"$f":"3+1+2+G35+3","v":17},4.5999999999999996,4.8,5,6]
[null,3,"A",12,12,12,20,{"$f":"3+1+2+D36+10","v":28},{"$f":"3+1+2+E36+10","v":28},{"$f":"3+2+2+F36+10","v":29},{"$f":"3+3+2+G36+10","v":38},6,22.1,13,62.5]
[null,4,"A",25,26,26.5,42,50.6,48.8,51,72.599999999999994,{"$f":"Tsky_Lookup(D23,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":68.3},{"$f":"Tsky_Lookup(E23,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":15.4},{"$f":"Tsky_Lookup(F23,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":16.899999999999999},{"$f":"Tsky_Lookup(G23,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":112.3}]
[]
[null,"Band\n#","Dewar\n#","TSYS, K",null,null,null,"(TSYS/ηA), K",null,null,null,"Array SEFD, Jy"]
[null,null,null,"@ fL","@ fM1","@ fM2","@ fH","@ fL","@ fM1","@ fM2","@ fH","@ fL","@ fM1","@ fM2","@ fH"]
[null,1,"A",{"$f":"H34+L34+H27+$L27","v":26.200000000000003},23.9,19.2,19.5,{"$f":"D41/D27","v":32.752121319810996},30.260023684221242,26.496532372625289,25.019843998328195,{"$f":"2*k*H41/Ao_array","v":1.4433857169029052},1.3335589946208899,1.1677019635051684,1.1026243190080547]
[null,2,"A",31.400000000000002,28.200000000000003,24.8,27,39.281155077375267,35.799109677207205,34.36110531440336,34.967487393963026,1.7311201808426457,1.577666468726296,1.5142936282971891,1.5410168815508003]
[null,3,"A",48.2,57.6,50.3,108,60.86285444738121,74.667076903605235,73.309415592743008,154.94067239095023,2.6822254943881432,3.2905774643783143,3.2307453415867782,6.8282341565813542]
[null,4,"A",122.99550000000001,68.295500000000004,71.995500000000007,188.99549999999996,180.59288991835342,111.31663583635905,133.72761450819721,393.83925488604336,7.9587271718091639,4.905723224794464,5.8933748703439219,17.356492720193614]

{"sheet":"UWB Feed","index":6,"n_rows":31,"n_cols":23,"rows_kept":31,"cut":false,"hidden":false,"merged":[[14,15,14,19],[20,3,20,7],[20,8,20,12],[20,13,20,17],[26,3,26,7],[26,8,26,12],[26,13,26,17],[14,8,15,8],[14,4,15,4],[14,14,15,14],[14,10,14,12],[26,18,26,22],[26,1,27,1],[26,2,27,2],[14,5,15,5],[14,13,15,13],[14,9,15,9],[14,3,15,3],[14,7,15,7],[20,1,21,1],[20,2,21,2],[14,1,15,1],[14,2,15,2],[14,6,15,6]]}
["ngVLA Ultra-Wideband (UWB) Receiver Configuration"]
["- Outputs on all bands are linearly-polarized, like ALMA. Allows wider fractional bandwidth than with CP outputs"]
["- Band configuration proposed jointly by Caltech/JPL in 2015."]
["- Bands 1-2 assume Caltech/JPL-designed dielectric-loaded QR feeds and JPL/OMMIC LNAs. Aperture efficiency and noise temps are estimates."]
["- Bands 1-2 feed horn dimensions based on a subtended beam angle of 49 degrees to the subreflector."]
["- Band 3 assumes a wide-angle corrugated feed (L. Baker). LNA and RX noise temp data from D. Cuadrado (U. of Manchester) and S. Weinreb."]
["- Band 1 feed is cooled to ~80K; Bands 2 & 3 to ~20K. "]
["- Trx includes window+IR filter, feed and coax losses. Does not currently include cal coupler, weather radome, post-amplifier."]
["- Tsky values provided by B. Butler (NRAO), modeling opacity at VLA site, for zenith and 45 deg. elevations (selectable on Rel. Sensitivity tab)."]
["- Tsky values for W-band (Band 3) only assume 1mm PWV as default, like the Reference or Wideband configurations."]
["- Antenna optics assumes unblocked aperture, offset feed (low) Gregorian, shaped optics, and a ground shield for spillover noise reduction."]
["- Antenna surface (Ruze) efficiency is included in the aperture efficiency shown. Surface accuracy is editable - see Rel. Sensitivity tab."]
["- Spillover noise temp vs. elevation based on modeling from L. Baker (2018), assuming a secondary mirror of 3.5m aperture."]
[]
[null,"Band\n#","Dewar\n#","fL\nGHz","fM1\nGHz","fM2\nGHz","fM3\nGHz","fH\nGHz","fH: fL","BW\nGHZ","Feed Horn Properties",null,null,"OMT","Pol.\nOut","Aperture Eff., ηA"]
[null,null,null,null,null,null,null,null,null,null,"Temp","L, in.","ID, in.",null,null,"@ fL","@ fM1","@ fM2","@ fM3","@ fH"]
[null,1,"A",1.2,3,5,6,8,{"$f":"H17/D17","v":6.666666666666667},{"$f":"H17-D17","v":6.8},80,{"$f":"(QR_WB_freq/D17)*QR_WB_Len","v":13},{"$f":"(QR_WB_freq/D17)*QR_WB_ID","v":14.173},"QR","Lin.",{"$f":"0.76*Ruze(D17,Sigma_ngVLA)","v":0.75995077561417734},{"$f":"0.68*Ruze(E17, Sigma_ngVLA)","v":0.67972477884929805},{"$f":"0.68*Ruze(F17,Sigma_ngVLA)","v":0.67923577181716188},{"$f":"0.68*Ruze(G17,Sigma_ngVLA)","v":0.67889978356994685},{"$f":"0.64*Ruze(H17, Sigma_ngVLA)","v":0.63816027343268322}]
[null,2,"A",8,15,23,32,48,{"$f":"H18/D18","v":6},{"$f":"H18-D18","v":40},20,{"$f":"(QR_WB_freq/D18)*QR_WB_Len","v":1.95},{"$f":"(QR_WB_freq/D18)*QR_WB_ID","v":2.12595},"QR","Lin.",{"$f":"0.76*Ruze(D18,Sigma_ngVLA)","v":0.7578153247013113},{"$f":"0.69*Ruze(E18, Sigma_ngVLA)","v":0.68305209109016363},{"$f":"0.68*Ruze(F18,Sigma_ngVLA)","v":0.66401081830818431},{"$f":"0.68*Ruze(G18,Sigma_ngVLA)","v":0.64938996166093366},{"$f":"0.66*Ruze(H18, Sigma_ngVLA)","v":0.59502664908565928}]
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[null,"Band\n#","Dewar\n#","Spillover, K",null,null,null,null,"TLNA, K",null,null,null,null,"TRX, K"]
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[null,3,"A",4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,25,26.5,26,26.5,42,50.6,48.9,48.8,51,72.599999999999994]
[]
[null,"Band\n#","Dewar\n#","TSKY, K",null,null,null,null,"TSYS, K",null,null,null,null,"(TSYS/ηA) , K",null,null,null,null,"Array SEFD, Jy"]
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[null,2,"A",4.8,6,22.1,{"$f":"Tsky_Lookup(G18,Tsky_Data_Table, PWV, PWV_Values, Elev_Angle)","v":11.5},{"$f":"Tsky_Lookup(H18,Tsky_Data_Table, PWV, PWV_Values, Elev_Angle)","v":42.9},27.895500000000002,32.095500000000001,50.195500000000003,40.595500000000001,80.995500000000007,36.810419492367558,46.988363579672225,75.594400898304329,62.513285385825156,136.12079412655012,1.6222348839538991,2.0707767960823777,3.3314446251896781,2.7549599722567173,5.9988422764207421]
[null,3,"A",{"$f":"Tsky_Lookup(D19,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":68.3},{"$f":"Tsky_Lookup(E19,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":22.8},{"$f":"Tsky_Lookup(F19,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":15.4},{"$f":"Tsky_Lookup(G19,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":16.899999999999999},{"$f":"Tsky_Lookup(H19,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":112.3},122.99550000000001,75.795500000000004,68.295500000000004,71.995500000000007,188.99549999999996,180.59288991835342,119.05746132598655,111.21654068872118,133.72761450819721,{"$f":"M31/T19","v":393.83925488604336},7.9587271718091639,5.2468613403890707,4.9013120324621857,5.8933748703439219,17.356492720193614]

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[]
[null,null,null,null,"Precipitable Water Vapor (PWV) = ","6mm",null,null,null,"Elevation Angle (deg) = ",45,null,null,null,null,"Surface Accuracy (μm RMS) = ",160]
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[null,"W-Band data for the plots (From external cascade analysis spreadsheet tool):"]
[null,"f, GHz:",70,75,80,85,90,95,100,105,110,112,114,115,116]
[null,"Trx, K:",50.6,48.3,50.2,48.3,49,50.1,51.3,50.5,50.4,50.4,52.3,54.1,72.599999999999994]
[null,"Tsky, K:",{"$f":"Tsky_Lookup(C130,Tsky_Data_Table, \"1mm\", PWV_Values, Elev_Angle)","v":68.3},34.1,22.8,17.8,15.4,14.5,14.8,16.899999999999999,24.7,33.5,53.6,74.599999999999994,112.3]
[null,"Tspill, K:",{"$f":"Spill_Greg(Elev_Angle)","v":4.0955000000000004},4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004,4.0955000000000004]
[null,"Tsys, K:",{"$f":"SUM(C131:C133)+T_IRD","v":123.99550000000001},{"$f":"SUM(D131:D133)+T_IRD","v":87.495500000000007},{"$f":"SUM(E131:E133)+T_IRD","v":78.095500000000001},71.195499999999996,69.495500000000007,69.695499999999996,71.195499999999996,72.495500000000007,80.195499999999996,88.995500000000007,110.99550000000001,133.79549999999998,{"$f":"SUM(O131:O133)+T_IRD","v":189.99549999999996}]
[null," ηI:",0.84899999999999998,0.85775000000000001,0.86650000000000005,0.87525000000000008,0.88400000000000012,0.88300000000000012,0.88200000000000012,0.88100000000000012,0.88000000000000012,0.87970000000000004,0.89739999999999998,0.87909999999999999,0.879]
[null," ηRuze:",{"$f":"Ruze(C130,Sigma_ngVLA)","v":0.80219672435874401},0.77645870283989205,0.74985814671678075,0.72254207272723725,0.694657039885897,0.66634787402994688,0.63775645924742419,0.60902060956284509,0.58027303249018181,0.56879931375009762,0.5573518714085206,0.55164039416630428,0.54593833074030351]
[null,"Tsys/ηA, K:",{"$f":"C134/(C135*C136)","v":182.06117851361384},{"$f":"D134/(D135*D136)","v":131.37315459435001},120.19276568317103,112.57897348081144,113.17069358058762,118.45216913280105,126.56950842521178,135.11487117364442,157.04891473057026,177.85840431644581,221.91662712699414,275.89711978020927,395.92311008305091]
[null,"SEFD, Jy:",{"$f":"2*k*C137/Ao_array","v":8.0234346381132884},5.7896138413258758,5.2968941940627818,4.9613544343921561,4.9874315343174267,5.2201861184189964,5.5779171942022732,5.9545112601683483,6.9211443791304168,7.838218413847196,9.7798639303592925,12.158783797143741,17.448328201568536]

{"sheet":"Perf Summary","index":8,"n_rows":195,"n_cols":19,"rows_kept":195,"cut":false,"hidden":false,"merged":[[186,2,187,2],[186,1,187,1],[186,16,187,16],[186,9,186,11],[177,12,177,14],[186,3,186,5],[186,6,186,8],[177,6,177,8],[177,9,177,11],[177,16,177,18],[186,12,186,14],[177,1,178,1],[177,2,178,2],[177,3,178,3],[177,4,178,4],[177,5,178,5]]}
[null,"Performance Summary Page (for presentations)"]
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[null,"Band\n#","fL\nGHz","fM\nGHz","fH\nGHz","BW\nGHZ","Aperture Eff., ηA",null,null,"Spillover, K",null,null,"TRX, K",null,null,null,"TLNA, K"]
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[null,4,{"$f":"Reference!D24","v":20.5},{"$f":"SQRT(C183*E183)","v":26.40075756488817},{"$f":"Reference!F24","v":34},13.5,{"$f":"Reference!D33","v":0.83310225688741579},{"$f":"Reference!E33","v":0.85671566724811044},{"$f":"Reference!F33","v":0.83446279382619504},{"$f":"Reference!G33","v":4.0955000000000004},{"$f":"Reference!H33","v":4.0955000000000004},{"$f":"Reference!I33","v":4.0955000000000004},{"$f":"Reference!M33","v":15.4},{"$f":"Reference!N33","v":16.2},{"$f":"Reference!O33","v":19.5},null,{"$f":"Reference!J33","v":5.7},{"$f":"Reference!K33","v":6},{"$f":"Reference!L33","v":7.8}]
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[null,6,{"$f":"Reference!D26","v":70},90.111042608550477,{"$f":"Reference!F26","v":116},46,{"$f":"Reference!D35","v":0.68106501898057359},{"$f":"Reference!E35","v":0.61352464963455922},{"$f":"Reference!F35","v":0.47987979272072678},{"$f":"Reference!G35","v":4.0955000000000004},{"$f":"Reference!H35","v":4.0955000000000004},{"$f":"Reference!I35","v":4.0955000000000004},{"$f":"Reference!M35","v":50.6},{"$f":"Reference!N35","v":49},{"$f":"Reference!O35","v":72.599999999999994},null,{"$f":"Reference!J35","v":25},{"$f":"Reference!K35","v":26},{"$f":"Reference!L35","v":42}]
[]
[null,"Band\n#","TFEED\nK","TSKY, K",null,null,"TSYS, K",null,null,"(TSYS/ηA), K",null,null,"Array SEFD, Jy",null,null,null,"~TRAD \nK"]
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[null,2,20,{"$f":"Reference!D40","v":4.5999999999999996},{"$f":"Reference!E40","v":4.7},{"$f":"Reference!F40","v":5.3},{"$f":"Reference!G40","v":31.8},{"$f":"Reference!H40","v":28.1},{"$f":"Reference!I40","v":24.599999999999998},{"$f":"Reference!J40","v":39.771908425272542},{"$f":"Reference!K40","v":36.095468077743718},{"$f":"Reference!L40","v":32.166200039404089},{"$f":"Reference!M40","v":1.7527476768439123},{"$f":"Reference!N40","v":1.5907269809979043},{"$f":"Reference!O40","v":1.4175641708994942},null,2]
[null,3,20,{"$f":"Reference!D41","v":5.3},{"$f":"Reference!E41","v":6.3},{"$f":"Reference!F41","v":13.6},{"$f":"Reference!G41","v":24.295500000000001},{"$f":"Reference!H41","v":28.295500000000001},{"$f":"Reference!I41","v":37.295500000000004},{"$f":"Reference!J41","v":28.812008056065647},{"$f":"Reference!K41","v":32.373580527105688},{"$f":"Reference!L41","v":43.23912910227979},{"$f":"Reference!M41","v":1.2697449578101581},{"$f":"Reference!N41","v":1.4267034272850583},{"$f":"Reference!O41","v":1.905548063532623},null,2]
[null,4,20,{"$f":"Reference!D42","v":13.6},{"$f":"Reference!E42","v":12.1},{"$f":"Reference!F42","v":12.4},{"$f":"Reference!G42","v":34.095500000000001},{"$f":"Reference!H42","v":33.395499999999998},{"$f":"Reference!I42","v":36.9955},{"$f":"Reference!J42","v":40.925948427250049},{"$f":"Reference!K42","v":38.980844259882602},{"$f":"Reference!L42","v":44.334511105483223},{"$f":"Reference!M42","v":1.8036062102293935},{"$f":"Reference!N42","v":1.7178854855883219},{"$f":"Reference!O42","v":1.9538215393950853},null,3.5]
[null,5,20,{"$f":"Reference!D43","v":11.1},{"$f":"Reference!E43","v":16.899999999999999},{"$f":"Reference!F43","v":70.3},{"$f":"Reference!G43","v":35.295500000000004},{"$f":"Reference!H43","v":42.395499999999998},{"$f":"Reference!I43","v":101.8955},{"$f":"Reference!J43","v":43.349453763093294},{"$f":"Reference!K43","v":51.399101928189808},{"$f":"Reference!L43","v":130.01217462147679},{"$f":"Reference!M43","v":1.9104100704263274},{"$f":"Reference!N43","v":2.2651579987861945},{"$f":"Reference!O43","v":5.7296354651268393},null,3.5]
[null,6,20,68.3,15.4,112.3,{"$f":"M185+D194+J185","v":122.99550000000001},{"$f":"N185+E194+K185","v":68.495500000000007},{"$f":"O185+F194+L185","v":188.99549999999996},{"$f":"G194/G185","v":180.59288991835342},{"$f":"H194/H185","v":111.64262110870162},{"$f":"I194/I185","v":393.83925488604336},{"$f":"2*k*J194/Ao_array","v":7.9587271718091639},{"$f":"2*k*K194/Ao_array","v":4.9200893930626357},{"$f":"2*k*L194/Ao_array","v":17.356492720193614},null,5]
[null,null,null,"(Band 6 in this table alone uses PWV by 1mm by default, regardless of PWV set for other bands)"]

{"sheet":"Tsky Data","index":9,"n_rows":1196,"n_cols":10,"rows_kept":1196,"cut":false,"hidden":false,"merged":[[3,1,3,3],[3,4,3,6],[2,1,2,3],[2,4,2,6]]}
["Sky Temperature Modeled Data for VLA Site, 1-120 GHz, PWV of 1mm, 6mm and 13mm, at Zenith, 45 degrees"]
[]
[null,"Zenith Elevation",null,null,"45 Degree Elevation",null,null,null,null,"(Data courtesy Dr. Bryan Butler, NRAO, July 2016)"]
["Frequency","Tsky (K) at PWV =",null,null,"Tsky (K) at PWV ="]
["GHz","1mm","6mm","13mm","1mm","6mm","13mm"]
[1,3.9,3.9,3.9,4.4000000000000004,4.4000000000000004,4.4000000000000004]
[{"$f":"A6+0.1","v":1.1000000000000001},3.9,3.9,3.9,4.4000000000000004,4.4000000000000004,4.4000000000000004]
[1.2000000000000002,3.9,3.9,3.9,4.4000000000000004,4.4000000000000004,4.4000000000000004]
[1.3000000000000003,3.9,3.9,3.9,4.4000000000000004,4.4000000000000004,4.4000000000000004]
[1.4000000000000004,3.9,3.9,3.9,4.5,4.4000000000000004,4.5]
[1.5000000000000004,4,3.9,4,4.5,4.5,4.5]
[1.6000000000000005,4,4,4,4.5,4.5,4.5]
[1.7000000000000006,4,4,4,4.5,4.5,4.5]
[1.8000000000000007,4,4,4,4.5,4.5,4.5]
[1.9000000000000008,4,4,4,4.5,4.5,4.5]
[2.0000000000000009,4,4,4,4.5,4.5,4.5]
[2.100000000000001,4,4,4,4.5,4.5,4.5]
[2.2000000000000011,4,4,4,4.5,4.5,4.5]
[2.3000000000000012,4,4,4,4.5,4.5,4.5]
[2.4000000000000012,4,4,4,4.5,4.5,4.5]
[2.5000000000000013,4,4,4,4.5,4.5,4.5999999999999996]
[2.6000000000000014,4,4,4,4.5,4.5,4.5999999999999996]
[2.7000000000000015,4,4,4,4.5999999999999996,4.5,4.5999999999999996]
[2.8000000000000016,4,4,4,4.5999999999999996,4.5,4.5999999999999996]
[2.9000000000000017,4,4,4,4.5999999999999996,4.5,4.5999999999999996]
[3.0000000000000018,4,4,4,4.5999999999999996,4.5,4.5999999999999996]
[3.1000000000000019,4,4,4,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.200000000000002,4,4,4,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.300000000000002,4,4,4,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.4000000000000021,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.5000000000000022,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.6000000000000023,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.7000000000000024,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.8000000000000025,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[3.9000000000000026,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[4.0000000000000027,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.5999999999999996]
[4.1000000000000023,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.200000000000002,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.3000000000000016,4,4,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.4000000000000012,4,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.5000000000000009,4,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.6000000000000005,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.7,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.8,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.8999999999999995,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[4.9999999999999991,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[5.0999999999999988,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[5.1999999999999984,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.5999999999999996,4.7]
[5.299999999999998,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.7,4.7]
[5.3999999999999977,4.0999999999999996,4.0999999999999996,4.0999999999999996,4.5999999999999996,4.7,4.7]
[5.4999999999999973,4.0999999999999996,4.0999999999999996,4.2,4.5999999999999996,4.7,4.8]
[5.599999999999997,4.0999999999999996,4.0999999999999996,4.2,4.5999999999999996,4.7,4.8]
[5.6999999999999966,4.0999999999999996,4.0999999999999996,4.2,4.5999999999999996,4.7,4.8]
[5.7999999999999963,4.0999999999999996,4.0999999999999996,4.2,4.5999999999999996,4.7,4.8]
[5.8999999999999959,4.0999999999999996,4.0999999999999996,4.2,4.5999999999999996,4.7,4.8]
[5.9999999999999956,4.0999999999999996,4.0999999999999996,4.2,4.5999999999999996,4.7,4.8]
[6.0999999999999952,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.8]
[6.1999999999999948,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.8]
[6.2999999999999945,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.8]
[6.3999999999999941,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.8]
[6.4999999999999938,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.8]
[6.5999999999999934,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.9000000000000004]
[6.6999999999999931,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.9000000000000004]
[6.7999999999999927,4.0999999999999996,4.0999999999999996,4.2,4.7,4.7,4.9000000000000004]
[6.8999999999999924,4.0999999999999996,4.0999999999999996,4.3,4.7,4.7,4.9000000000000004]
[6.999999999999992,4.0999999999999996,4.2,4.3,4.7,4.8,4.9000000000000004]
[7.0999999999999917,4.0999999999999996,4.2,4.3,4.7,4.8,4.9000000000000004]
[7.1999999999999913,4.0999999999999996,4.2,4.3,4.7,4.8,4.9000000000000004]
[7.2999999999999909,4.0999999999999996,4.2,4.3,4.7,4.8,4.9000000000000004]
[7.3999999999999906,4.0999999999999996,4.2,4.3,4.7,4.8,4.9000000000000004]
[7.4999999999999902,4.0999999999999996,4.2,4.3,4.7,4.8,5]
[7.5999999999999899,4.0999999999999996,4.2,4.3,4.7,4.8,5]
[{"$f":"A72+0.1","v":7.6999999999999895},4.0999999999999996,4.2,4.3,4.7,4.8,5]
[7.7999999999999892,4.0999999999999996,4.2,4.3,4.7,4.8,5]
[7.8999999999999888,4.0999999999999996,4.2,4.3,4.7,4.8,5]
[7.9999999999999885,4.0999999999999996,4.2,4.3,4.7,4.8,5]
[8.099999999999989,4.0999999999999996,4.2,4.4000000000000004,4.7,4.8,5]
[8.1999999999999886,4.0999999999999996,4.2,4.4000000000000004,4.7,4.8,5.0999999999999996]
[8.2999999999999883,4.0999999999999996,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996]
[8.3999999999999879,4.0999999999999996,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996]
[8.4999999999999876,4.0999999999999996,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996]
[8.5999999999999872,4.2,4.2,4.4000000000000004,4.8,4.9000000000000004,5.0999999999999996]
[8.6999999999999869,4.2,4.2,4.4000000000000004,4.8,4.9000000000000004,5.0999999999999996]
[8.7999999999999865,4.2,4.3,4.4000000000000004,4.8,4.9000000000000004,5.0999999999999996]
[8.8999999999999861,4.2,4.3,4.4000000000000004,4.8,4.9000000000000004,5.2]
[8.9999999999999858,4.2,4.3,4.4000000000000004,4.8,4.9000000000000004,5.2]
[9.0999999999999854,4.2,4.3,4.5,4.8,4.9000000000000004,5.2]
[9.1999999999999851,4.2,4.3,4.5,4.8,4.9000000000000004,5.2]
[9.2999999999999847,4.2,4.3,4.5,4.8,4.9000000000000004,5.2]
[9.3999999999999844,4.2,4.3,4.5,4.8,5,5.2]
[9.499999999999984,4.2,4.3,4.5,4.8,5,5.3]
[9.5999999999999837,4.2,4.3,4.5,4.8,5,5.3]
[9.6999999999999833,4.2,4.3,4.5,4.8,5,5.3]
[9.7999999999999829,4.2,4.3,4.5,4.8,5,5.3]
[9.8999999999999826,4.2,4.3,4.5999999999999996,4.8,5,5.3]
[9.9999999999999822,4.2,4.3,4.5999999999999996,4.8,5,5.3]
[10.099999999999982,4.2,4.4000000000000004,4.5999999999999996,4.8,5,5.4]
[10.199999999999982,4.2,4.4000000000000004,4.5999999999999996,4.8,5,5.4]
[10.299999999999981,4.2,4.4000000000000004,4.5999999999999996,4.8,5.0999999999999996,5.4]
[10.399999999999981,4.2,4.4000000000000004,4.5999999999999996,4.8,5.0999999999999996,5.4]
[10.49999999999998,4.2,4.4000000000000004,4.5999999999999996,4.9000000000000004,5.0999999999999996,5.4]
[10.59999999999998,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996,5.5]
[10.69999999999998,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996,5.5]
[10.799999999999979,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996,5.5]
[10.899999999999979,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996,5.5]
[10.999999999999979,4.2,4.4000000000000004,4.7,4.9000000000000004,5.0999999999999996,5.6]
[11.099999999999978,4.3,4.4000000000000004,4.7,4.9000000000000004,5.2,5.6]
[11.199999999999978,4.3,4.5,4.8,4.9000000000000004,5.2,5.6]
[11.299999999999978,4.3,4.5,4.8,4.9000000000000004,5.2,5.6]
[11.399999999999977,4.3,4.5,4.8,4.9000000000000004,5.2,5.6]
[11.499999999999977,4.3,4.5,4.8,4.9000000000000004,5.2,5.7]
[11.599999999999977,4.3,4.5,4.8,4.9000000000000004,5.2,5.7]
[11.699999999999976,4.3,4.5,4.8,4.9000000000000004,5.2,5.7]
[11.799999999999976,4.3,4.5,4.9000000000000004,4.9000000000000004,5.3,5.7]
[11.899999999999975,4.3,4.5,4.9000000000000004,4.9000000000000004,5.3,5.8]
[11.999999999999975,4.3,4.5,4.9000000000000004,5,5.3,5.8]
[12.099999999999975,4.3,4.5,4.9000000000000004,5,5.3,5.8]
[12.199999999999974,4.3,4.5999999999999996,4.9000000000000004,5,5.3,5.9]
[12.299999999999974,4.3,4.5999999999999996,5,5,5.3,5.9]
[12.399999999999974,4.3,4.5999999999999996,5,5,5.4,5.9]
[12.499999999999973,4.3,4.5999999999999996,5,5,5.4,6]
[12.599999999999973,4.3,4.5999999999999996,5,5,5.4,6]
[12.699999999999973,4.3,4.5999999999999996,5,5,5.4,6]
[12.799999999999972,4.3,4.5999999999999996,5.0999999999999996,5,5.4,6]
[12.899999999999972,4.3,4.7,5.0999999999999996,5,5.5,6.1]
[12.999999999999972,4.4000000000000004,4.7,5.0999999999999996,5,5.5,6.1]
[13.099999999999971,4.4000000000000004,4.7,5.0999999999999996,5,5.5,6.2]
[13.199999999999971,4.4000000000000004,4.7,5.2,5,5.5,6.2]
[13.299999999999971,4.4000000000000004,4.7,5.2,5.0999999999999996,5.5,6.2]
[13.39999999999997,4.4000000000000004,4.7,5.2,5.0999999999999996,5.6,6.3]
[13.49999999999997,4.4000000000000004,4.7,5.3,5.0999999999999996,5.6,6.3]
[13.599999999999969,4.4000000000000004,4.8,5.3,5.0999999999999996,5.6,6.3]
[13.699999999999969,4.4000000000000004,4.8,5.3,5.0999999999999996,5.6,6.4]
[13.799999999999969,4.4000000000000004,4.8,5.3,5.0999999999999996,5.6,6.4]
[13.899999999999968,4.4000000000000004,4.8,5.4,5.0999999999999996,5.7,6.5]
[13.999999999999968,4.4000000000000004,4.8,5.4,5.0999999999999996,5.7,6.5]
[{"$f":"A136+0.1","v":14.099999999999968},4.4000000000000004,4.8,5.4,5.0999999999999996,5.7,6.6]
[14.199999999999967,4.4000000000000004,4.9000000000000004,5.5,5.0999999999999996,5.7,6.6]
[14.299999999999967,4.4000000000000004,4.9000000000000004,5.5,5.2,5.8,6.7]
[14.399999999999967,4.4000000000000004,4.9000000000000004,5.5,5.2,5.8,6.7]
[14.499999999999966,4.5,4.9000000000000004,5.6,5.2,5.8,6.8]
[14.599999999999966,4.5,4.9000000000000004,5.6,5.2,5.9,6.8]
[14.699999999999966,4.5,5,5.7,5.2,5.9,6.9]
[14.799999999999965,4.5,5,5.7,5.2,5.9,6.9]
[14.899999999999965,4.5,5,5.7,5.2,6,7]
[14.999999999999964,4.5,5,5.8,5.2,6,7]
[15.099999999999964,4.5,5.0999999999999996,5.8,5.2,6,7.1]
[15.199999999999964,4.5,5.0999999999999996,5.9,5.3,6.1,7.2]
[15.299999999999963,4.5,5.0999999999999996,5.9,5.3,6.1,7.2]
[15.399999999999963,4.5,5.0999999999999996,6,5.3,6.1,7.3]
[15.499999999999963,4.5,5.2,6,5.3,6.2,7.4]
[15.599999999999962,4.5,5.2,6.1,5.3,6.2,7.5]
[15.699999999999962,4.5999999999999996,5.2,6.1,5.3,6.3,7.5]
[15.799999999999962,4.5999999999999996,5.2,6.2,5.3,6.3,7.6]
[15.899999999999961,4.5999999999999996,5.3,6.2,5.3,6.3,7.7]
[15.999999999999961,4.5999999999999996,5.3,6.3,5.4,6.4,7.8]
[16.099999999999962,4.5999999999999996,5.3,6.4,5.4,6.4,7.9]
[16.199999999999964,4.5999999999999996,5.4,6.4,5.4,6.5,8]
[16.299999999999965,4.5999999999999996,5.4,6.5,5.4,6.5,8.1]
[16.399999999999967,4.5999999999999996,5.5,6.6,5.4,6.6,8.1999999999999993]
[16.499999999999968,4.5999999999999996,5.5,6.7,5.4,6.6,8.3000000000000007]
[16.599999999999969,4.7,5.5,6.7,5.5,6.7,8.4]
[16.699999999999971,4.7,5.6,6.8,5.5,6.8,8.5]
[16.799999999999972,4.7,5.6,6.9,5.5,6.8,8.6]
[16.899999999999974,4.7,5.7,7,5.5,6.9,8.6999999999999993]
[16.999999999999975,4.7,5.7,7.1,5.5,7,8.9]
[17.099999999999977,4.7,5.8,7.2,5.5,7,9]
[17.199999999999978,4.7,5.8,7.3,5.6,7.1,9.1999999999999993]
[17.299999999999979,4.7,5.9,7.4,5.6,7.2,9.3000000000000007]
[17.399999999999981,4.8,5.9,7.5,5.6,7.3,9.5]
[17.499999999999982,4.8,6,7.6,5.6,7.3,9.6]
[17.599999999999984,4.8,6.1,7.7,5.7,7.4,9.8000000000000007]
[17.699999999999985,4.8,6.1,7.9,5.7,7.5,10]
[17.799999999999986,4.8,6.2,8,5.7,7.6,10.199999999999999]
[17.899999999999988,4.8,6.3,8.1999999999999993,5.7,7.7,10.4]
[17.999999999999989,4.9000000000000004,6.3,8.3000000000000007,5.8,7.8,10.6]
[18.099999999999991,4.9000000000000004,6.4,8.5,5.8,7.9,10.8]
[18.199999999999992,4.9000000000000004,6.5,8.6,5.8,8.1,11.1]
[18.299999999999994,4.9000000000000004,6.6,8.8000000000000007,5.8,8.1999999999999993,11.3]
[18.399999999999995,4.9000000000000004,6.7,9,5.9,8.3000000000000007,11.6]
[18.499999999999996,5,6.8,9.1999999999999993,5.9,8.5,11.9]
[18.599999999999998,5,6.9,9.4,5.9,8.6,12.2]
[18.7,5,7,9.6999999999999993,6,8.8000000000000007,12.5]
[18.8,5,7.1,9.9,6,8.9,12.8]
[18.900000000000002,5.0999999999999996,7.3,10.199999999999999,6,9.1,13.2]
[19.000000000000004,5.0999999999999996,7.4,10.4,6.1,9.3000000000000007,13.6]
[19.100000000000005,5.0999999999999996,7.5,10.7,6.1,9.5,14]
[19.200000000000006,5.2,7.7,11.1,6.2,9.6999999999999993,14.4]
[19.300000000000008,5.2,7.8,11.4,6.2,9.9,14.9]
[19.400000000000009,5.2,8,11.7,6.3,10.199999999999999,15.4]
[19.500000000000011,5.3,8.1999999999999993,12.1,6.3,10.4,15.9]
[19.600000000000012,5.3,8.4,12.5,6.4,10.7,16.5]
[19.700000000000014,5.3,8.6,12.9,6.4,11,17.100000000000001]
[19.800000000000015,5.4,8.8000000000000007,13.4,6.5,11.3,17.7]
[19.900000000000016,5.4,9,13.9,6.5,11.6,18.399999999999999]
[20.000000000000018,5.5,9.3000000000000007,14.4,6.6,12,19.100000000000001]
[20.100000000000019,5.5,9.6,15,6.7,12.3,19.899999999999999]
[20.200000000000021,5.6,9.8000000000000007,15.6,6.8,12.7,20.7]
[20.300000000000022,5.6,10.1,16.2,6.8,13.1,21.6]
[20.400000000000023,5.7,10.4,16.899999999999999,6.9,13.6,22.5]
[{"$f":"A200+0.1","v":20.500000000000025},5.7,10.8,17.600000000000001,7,14,23.5]
[20.600000000000026,5.8,11.1,18.399999999999999,7.1,14.5,24.6]
[20.700000000000028,5.9,11.5,19.2,7.2,15,25.7]
[20.800000000000029,6,11.9,20,7.3,15.6,26.9]
[20.900000000000031,6,12.3,20.9,7.4,16.100000000000001,28.1]
[21.000000000000032,6.1,12.7,21.8,7.5,16.7,29.4]
[21.100000000000033,6.2,13.1,22.8,7.6,17.3,30.7]
[21.200000000000035,6.3,13.5,23.8,7.7,17.899999999999999,32.1]
[21.300000000000036,6.3,14,24.8,7.8,18.5,33.5]
[21.400000000000038,6.4,14.4,25.9,8,19.100000000000001,34.9]
[21.500000000000039,6.5,14.8,26.9,8.1,19.7,36.4]
[21.600000000000041,6.6,15.3,28,8.1999999999999993,20.3,37.799999999999997]
[21.700000000000042,6.7,15.7,29,8.3000000000000007,20.8,39.1]
[21.800000000000043,6.7,16,30,8.4,21.3,40.5]
[21.900000000000045,6.8,16.399999999999999,30.9,8.5,21.8,41.7]
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[112.69999999999729,28.6,40.4,56.6,38.5,54.4,75.7]
[112.79999999999728,29.3,41,57.1,39.4,55.2,76.400000000000006]
[112.89999999999728,29.9,41.6,57.8,40.299999999999997,56.1,77.2]
[112.99999999999727,30.6,42.3,58.4,41.3,56.9,78]
[113.09999999999727,31.4,43,59.1,42.2,57.9,78.900000000000006]
[113.19999999999726,32.1,43.7,59.8,43.3,58.8,79.8]
[113.29999999999725,32.9,44.5,60.5,44.4,59.8,80.7]
[113.39999999999725,33.799999999999997,45.3,61.2,45.5,60.9,81.7]
[113.49999999999724,34.700000000000003,46.1,62,46.7,62,82.7]
[113.59999999999724,35.6,47,62.9,47.9,63.1,83.8]
[113.69999999999723,36.6,47.9,63.8,49.3,64.400000000000006,84.9]
[113.79999999999723,37.6,48.9,64.7,50.6,65.599999999999994,86.1]
[113.89999999999722,38.700000000000003,49.9,65.7,52.1,67,87.3]
[113.99999999999721,39.9,51,66.7,53.6,68.400000000000006,88.6]
[114.09999999999721,41.1,52.2,67.8,55.2,69.900000000000006,90]
[114.1999999999972,42.4,53.4,68.900000000000006,56.9,71.400000000000006,91.5]
[114.2999999999972,43.8,54.7,70.099999999999994,58.7,73.099999999999994,93]
[114.39999999999719,45.2,56,71.400000000000006,60.6,74.8,94.6]
[114.49999999999719,46.8,57.4,72.7,62.7,76.7,96.3]
[114.59999999999718,48.4,59,74.2,64.8,78.599999999999994,98]
[114.69999999999717,50.1,60.6,75.7,67,80.7,99.9]
[114.79999999999717,52,62.3,77.3,69.400000000000006,82.9,101.9]
[114.89999999999716,53.9,64.099999999999994,79,71.900000000000006,85.2,104]
[114.99999999999716,56,66.099999999999994,80.8,74.599999999999994,87.7,106.3]
[115.09999999999715,58.2,68.099999999999994,82.7,77.400000000000006,90.3,108.7]
[115.19999999999715,60.6,70.3,84.8,80.400000000000006,93,111.2]
[115.29999999999714,63.1,72.7,87,83.6,96,113.8]
[115.39999999999714,65.8,75.2,89.4,87,99.1,116.7]
[115.49999999999713,68.7,77.900000000000006,91.9,90.6,102.5,119.7]
[115.59999999999712,71.7,80.8,94.6,94.4,106,122.9]
[115.69999999999712,75,83.9,97.4,98.5,109.8,126.4]
[115.79999999999711,78.599999999999994,87.2,100.5,102.8,113.8,130]
[115.89999999999711,82.3,90.8,103.9,107.4,118.1,133.9]
[115.9999999999971,86.4,94.6,107.4,112.3,122.6,138.1]
[116.0999999999971,90.8,98.7,111.3,117.5,127.5,142.5]
[116.19999999999709,95.4,103.1,115.4,123,132.69999999999999,147.19999999999999]
[116.29999999999708,100.4,107.9,119.8,128.80000000000001,138.19999999999999,152.19999999999999]
[116.39999999999708,105.8,113,124.6,135,144,157.6]
[{"$f":"A1160+0.1","v":116.49999999999707},111.6,118.5,129.80000000000001,141.5,150.19999999999999,163.19999999999999]
[116.59999999999707,117.8,124.4,135.30000000000001,148.4,156.69999999999999,169.2]
[116.69999999999706,124.4,130.80000000000001,141.30000000000001,155.5,163.6,175.6]
[116.79999999999706,131.4,137.6,147.69999999999999,163,170.9,182.3]
[116.89999999999705,138.9,144.9,154.5,170.8,178.5,189.3]
[116.99999999999704,146.80000000000001,152.6,161.80000000000001,178.9,186.4,196.6]
[117.09999999999704,155.19999999999999,160.80000000000001,169.6,187.1,194.5,204.2]
[117.19999999999703,164,169.5,177.9,195.4,202.9,212]
[117.29999999999703,173.1,178.6,186.6,203.7,211.3,219.9]
[117.39999999999702,182.4,188.1,195.6,211.9,219.6,227.8]
[117.49999999999702,192,197.8,205,219.8,227.8,235.6]
[117.59999999999701,201.5,207.5,214.5,227.2,235.6,243.1]
[117.699999999997,210.7,217.2,224,234,242.9,250.1]
[117.799999999997,219.6,226.6,233.2,240,249.5,256.60000000000002]
[117.89999999999699,227.8,235.4,242,245.1,255.2,262.2]
[117.99999999999699,235,243.4,250,249.1,259.8,266.8]
[118.09999999999698,241.1,250.3,257,252.2,263.5,270.5]
[118.19999999999698,246,255.8,262.8,254.4,266.2,273.10000000000002]
[118.29999999999697,249.5,260,267.10000000000002,255.9,268,275]
[118.39999999999696,251.8,262.8,270.10000000000002,256.8,269.2,276.10000000000002]
[118.49999999999696,253.2,264.60000000000002,271.89999999999998,257.39999999999998,269.89999999999998,276.8]
[118.59999999999695,253.9,265.5,272.8,257.8,270.39999999999998,277.2]
[118.69999999999695,254.1,265.89999999999998,273.2,257.89999999999998,270.60000000000002,277.39999999999998]
[118.79999999999694,254.1,265.89999999999998,273.2,257.89999999999998,270.60000000000002,277.39999999999998]
[118.89999999999694,253.9,265.5,272.8,257.8,270.39999999999998,277.2]
[118.99999999999693,253.2,264.60000000000002,271.89999999999998,257.39999999999998,270,276.8]
[119.09999999999692,251.8,262.89999999999998,270.2,256.89999999999998,269.2,276.2]
[119.19999999999692,249.5,260.10000000000002,267.2,255.9,268,275]
[119.29999999999691,246,255.9,262.89999999999998,254.5,266.2,273.2]
[119.39999999999691,241.3,250.4,257.3,252.3,263.60000000000002,270.60000000000002]
[119.4999999999969,235.2,243.7,250.4,249.2,260,267]
[119.5999999999969,228,235.8,242.5,245.2,255.4,262.39999999999998]
[119.69999999999689,219.9,227,233.8,240.2,249.8,257]
[119.79999999999688,211.1,217.7,224.7,234.2,243.3,250.7]
[119.89999999999688,201.8,208.1,215.3,227.5,236.1,243.8]
[119.99999999999687,192.4,198.4,206,220.1,228.4,236.4]

{"sheet":"Ant. Calcs","index":10,"n_rows":40,"n_cols":8,"rows_kept":40,"cut":false,"hidden":true,"merged":[[18,1,18,6],[23,1,23,6],[28,1,28,6]]}
["Antenna Efficiency Calculations, Array Sensitivity Comparison of VLA vs ngVLA"]
[]
["Antenna optical configuration:","Dual Offset Cassegrain or Gregorian, low feedarm, shaped optics"]
["Primary aperture diam (m):",18]
["Secondary aperture diam (m):","~5"]
["f/D ratio:",0.55000000000000004,"[Note 1]"]
["Subtended beam angle (deg):",{"$f":"FDRatioToAngle(F_to_D)","v":97.775819233391303},"[Note 1]"]
["Total RMS surface accuracy (um):",{"$f":"Sigma_ngVLA","v":160},"[Note 2]"]
[]
["Frequency, GHz",2,10,30,50,100,120,"Notes"]
["Required Aperture Efficiency, ηA",0.75,0.75,0.72,0.64,0.4,0.3,"[1]"]
["Ruze Efficiency, ηR",{"$f":"Ruze(B10,Sigma_ngVLA)","v":0.99982009666701355},0.99551211285934449,0.96032655448043192,0.89364229756386226,0.63775645924742419,0.52324249379193688,"[3]"]
["Remaining Efficiency Budget",{"$f":"B11/B12","v":0.75013495177801448},{"$f":"C11/C12","v":0.75338108930269465},{"$f":"D11/D12","v":0.74974496606473984},{"$f":"E11/E12","v":0.71617021905150335},0.62719866525854484,0.57334792865522222,"[4]"]
[]
["VLA and ngVLA Sensitivity Comparison (R. Selina, 3/27/2017)"]
["Frequency, GHz",{"$f":"B10","v":2},10,30,50,100,120,"Notes"]
["VLA Key Stats"]
["VLA Aperture Efficiency",{"$f":"Ruze(B10,635)*0.8","v":0.79773608289861409},{"$f":"Ruze(C10,635)*0.8","v":0.74528300972791017},0.41,{"$f":"Ruze(E10,635)*0.8","v":0.1361039814111579}]
["VLA Geometric Collecting Area (m^2)",{"$f":"27*PI()*(12.5)^2","v":13253.59400733194}]
["VLA Effective Collecting Area (m^2)",{"$f":"$B19*B18","v":10572.870167737527},{"$f":"$B19*C18","v":9877.6784314961424},{"$f":"$B19*D18","v":5433.9735430060946},{"$f":"$B19*E18","v":1803.86691240494},{"$f":"$B19*G18","v":0},{"$f":"$B19*H18","v":0}]
["VLA A_eff / Tsys",{"$f":"B20/'VLA-like'!K27","v":580.70952843424084},{"$f":"C20/'VLA-like'!K29","v":557.84618440886084},{"$f":"D20/'VLA-like'!K32","v":160.26199333977905},{"$f":"E20/'VLA-like'!K33","v":19.563271314135157}]
[]
["ngVLA Key Stats"]
["ngVLA Geometric Collecting Area (m^2)",{"$f":"D20*10/D11","v":75471.854763973533},null,null,null,null,null,"[5]"]
["ngVLA Effective Collecting Area (m^2)",{"$f":"$B24*B11","v":56603.89107298015},56603.89107298015,54339.735430060944,48301.987048943061,30188.741905589413,22641.55642919206]
["ngVLA A_eff / Tsys",{"$f":"B25/Reference!H39","v":2185.4784198061834},{"$f":"C25/Reference!G41","v":2329.8096796929535},{"$f":"D25/Reference!G43","v":1539.5655375348397},{"$f":"E25/Reference!I43","v":474.03454567613937},{"$f":"F25/Reference!H44","v":434.39851365324967},{"$f":"G25/Reference!I44","v":119.16890889095828}]
[]
["Performance Ratios"]
["A_geom Ratio (ngVLA / VLA)",{"$f":"B24/B19","v":5.6944444444444438}]
["A_eff Ratio (ngVLA / VLA)",{"$f":"B25/B20","v":5.3536920604306193},{"$f":"C25/C20","v":5.730485302345131},10,26.776912818111505]
["A_eff / Tsys Ratio (ngVLA / VLA)",{"$f":"B26/B21","v":3.7634623039488591},4.1764374209385497,9.6065542768504937,24.230842483569329]
[]
["Notes:"]
[]
["[1] - Subtended angle corresponds to overall f/D ratio entered (primary + secondary optics). "]
["Example values shown are for wideband and ultra-wideband feed configurations only."]
["[2] - Values from P. Napier et. al., \"Strawman Antenna Requirements\", ver. 3. Entered on 'Rel. Sensitivity' tab."]
["[3] - Ruze efficiency is calculated from RMS surface accuracy entered on 'Rel. Sensitivity' tab, and shown above."]
["[4] - Includes all other contributions to aperture efficiency aside from Ruze (illumination, spillover, blockage, phase, etc.)"]
["[5] - Set to a value that forces A_eff of the ngVLA to be 10 times that of the VLA."]

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[null,"VLA Model Tsys (with weather radome added) vs Stress Test Data"]
[]
[null,"Band","fL\nGHz","fM\nGHz","fH\nGHz","TRX, K",null,null,"Spillover, K",null,null,"TSKY, K",null,null,"Feed Radome, ~K",null,null,"TSYS, K",null,null,null,"Stress Test",null,"Model","Delta"]
[null,null,null,null,null,"@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH","@ fL","@ fM","@ fH",null,"fc","TSYS","TSYS","TSYS"]
[null,"L",{"$f":"VLA!D14","v":1.2},{"$f":"VLA!E14","v":1.6},{"$f":"VLA!F14","v":2},{"$f":"VLA!H25","v":13.8},{"$f":"VLA!I25","v":12.9},{"$f":"VLA!J25","v":17.3},{"$f":"VLA!Q14","v":18.600000000000001},{"$f":"VLA!R14","v":15},{"$f":"VLA!S14","v":12},{"$f":"VLA!K25","v":4.4000000000000004},{"$f":"VLA!L25","v":4.5},{"$f":"VLA!M25","v":4.5},0,0,1,{"$f":"L5+F5+I5+O5","v":36.800000000000004},{"$f":"M5+G5+J5+P5","v":32.4},{"$f":"N5+H5+K5+Q5","v":34.799999999999997},null,{"$f":"AVERAGE(1388,1516)/1000","v":1.452},{"$f":"F53","v":31.980392156862745},{"$f":"AVERAGE(R5,S5,S5)","v":33.866666666666667},{"$f":"(W5-X5)/X5","v":-5.5697081982399269E-2}]
[null,"S",{"$f":"VLA!D15","v":2},{"$f":"VLA!E15","v":3},{"$f":"VLA!F15","v":4},{"$f":"VLA!H26","v":17},{"$f":"VLA!I26","v":16.3},{"$f":"VLA!J26","v":24.2},{"$f":"VLA!Q15","v":11},{"$f":"VLA!R15","v":8},{"$f":"VLA!S15","v":7},{"$f":"VLA!K26","v":4.5},{"$f":"VLA!L26","v":4.5},{"$f":"VLA!M26","v":4.5999999999999996},1,1,2,{"$f":"F6+L6+I6+O6","v":33.5},{"$f":"G6+M6+J6+P6","v":29.8},37.799999999999997,null,{"$f":"AVERAGE(3020,3148)/1000","v":3.0840000000000001},{"$f":"J53","v":31.6},{"$f":"AVERAGE(S6)","v":29.8},6.0402684563758413E-2]
[null,"C",{"$f":"VLA!D16","v":4},{"$f":"VLA!E16","v":6},{"$f":"VLA!F16","v":8},{"$f":"VLA!H27","v":12.3},{"$f":"VLA!I27","v":11.5},{"$f":"VLA!J27","v":11.8},{"$f":"VLA!Q16","v":5},{"$f":"VLA!R16","v":5},{"$f":"VLA!S16","v":5},{"$f":"VLA!K27","v":4.5999999999999996},{"$f":"VLA!L27","v":4.7},{"$f":"VLA!M27","v":4.8},2,3,4,23.9,24.2,{"$f":"H7+N7+K7+Q7","v":25.6},null,{"$f":"AVERAGE(4832,4960)/1000","v":4.8959999999999999},{"$f":"N53","v":28.67},{"$f":"AVERAGE(R7:S7)","v":24.049999999999997},0.1920997920997923]
[null,"X",{"$f":"VLA!D17","v":8},{"$f":"VLA!E17","v":10},{"$f":"VLA!F17","v":12},{"$f":"VLA!H28","v":11.8},{"$f":"VLA!I28","v":10.7},{"$f":"VLA!J28","v":14.9},{"$f":"VLA!Q17","v":6},{"$f":"VLA!R17","v":6},{"$f":"VLA!S17","v":6},{"$f":"VLA!K28","v":4.8},{"$f":"VLA!L28","v":5},{"$f":"VLA!M28","v":5.3},{"$f":"_xlfn.CEILING.MATH(5*(C8/80))","v":1},{"$f":"_xlfn.CEILING.MATH(5*(D8/80))","v":1},1,23.6,22.7,27.2,null,{"$f":"AVERAGE(8332,8460)/1000","v":8.3960000000000008},{"$f":"R53","v":29.808988764044944},{"$f":"AVERAGE(R8:S8)","v":23.15},0.28764530298250307]
[null,"Ku",{"$f":"VLA!D18","v":12},{"$f":"VLA!E18","v":15},{"$f":"VLA!F18","v":18},{"$f":"VLA!H29","v":16},{"$f":"VLA!I29","v":10.8},{"$f":"VLA!J29","v":15.1},{"$f":"VLA!Q18","v":6},{"$f":"VLA!R18","v":6},{"$f":"VLA!S18","v":6},{"$f":"VLA!K29","v":5.3},{"$f":"VLA!L29","v":6},{"$f":"VLA!M29","v":7.8},{"$f":"_xlfn.CEILING.MATH(5*(C9/80))","v":1},{"$f":"_xlfn.CEILING.MATH(5*(D9/80))","v":1},{"$f":"_xlfn.CEILING.MATH(5*(E9/80))","v":2},28.3,{"$f":"G9+M9+J9+P9","v":23.8},30.9,null,{"$f":"AVERAGE(14936,15064)/1000","v":15},{"$f":"V53","v":30.123711340206185},{"$f":"AVERAGE(S9)","v":23.8},0.26570215715152035]
[null,"K",{"$f":"VLA!D19","v":18},{"$f":"VLA!E19","v":22.25},{"$f":"VLA!F19","v":26.5},{"$f":"VLA!H30","v":22.7},{"$f":"VLA!I30","v":12.7},{"$f":"VLA!J30","v":23.6},{"$f":"VLA!Q19","v":6},{"$f":"VLA!R19","v":6},{"$f":"VLA!S19","v":6},{"$f":"VLA!K30","v":7.8},{"$f":"VLA!L30","v":22.8},{"$f":"VLA!M30","v":12.1},2,2,2,38.5,43.5,43.7,null,{"$f":"AVERAGE(24372,24500)/1000","v":24.436},{"$f":"Z53","v":44.790476190476191},{"$f":"AVERAGE(S10:T10)","v":43.6},2.7304499781563987E-2]
[null,"Ka",{"$f":"VLA!D20","v":26.5},{"$f":"VLA!E20","v":33.25},{"$f":"VLA!F20","v":40},{"$f":"VLA!H31","v":29.9},{"$f":"VLA!I31","v":16.5},{"$f":"VLA!J31","v":31.7},{"$f":"VLA!Q20","v":6},{"$f":"VLA!R20","v":6},{"$f":"VLA!S20","v":6},{"$f":"VLA!K31","v":12.1},{"$f":"VLA!L31","v":12.1},{"$f":"VLA!M31","v":17.8},2,3,3,50,37.6,58.5,null,{"$f":"AVERAGE(33432,33560)/1000","v":33.496000000000002},{"$f":"AD53","v":49.594059405940591},{"$f":"AVERAGE(S11)","v":37.6},0.31899094164735609]
[null,"Q",{"$f":"VLA!D21","v":40},{"$f":"VLA!E21","v":45},{"$f":"VLA!F21","v":50},{"$f":"VLA!H32","v":35.200000000000003},{"$f":"VLA!I32","v":32.200000000000003},{"$f":"VLA!J32","v":42.8},{"$f":"VLA!Q21","v":6},{"$f":"VLA!R21","v":6},{"$f":"VLA!S21","v":6},{"$f":"VLA!K32","v":17.8},{"$f":"VLA!L32","v":28.4},{"$f":"VLA!M32","v":62.5},3,3,4,62,69.599999999999994,{"$f":"H12+N12+K12+Q12","v":115.3},null,{"$f":"AVERAGE(40936,41064)/1000","v":41},{"$f":"AH53","v":71.237623762376231},{"$f":"AVERAGE(R12:S12)","v":65.8},8.2638659002678319E-2]
[]
[]
[null,"Stress Test: 2017 APR06_0511 Report"]
[null,"Tsys, On Sky",null,null,null,null,"MODEL INPUTS (Rel. Sensitivity Tab)"]
[null,"Source Elev.:",null,"39.4 - 40 deg",null,null,{"$f":"Elev_Angle","v":45},"deg"]
[null,"Estimated PWV:",null,"3.9 to 4.6mm",null,null,{"$f":"PWV","v":"6mm"},"PWV",null,null,null,null,"(From South Baldy monitoring station)"]
[null,"Wind Speed:",null,"< 5 m/s"]
[null,"API RMS Phase:",null,"5-10 degrees"]
[null,"Sky Condition:",null,"Mostly clear, Stratus Clouds"]
[null,"Precipitation:",null,"None"]
[]
[null,"ANT","L Band",null,null,null,"S Band",null,null,null,"C Band",null,null,null,"X Band",null,null,null,"U Band",null,null,null,"K Band",null,null,null,"A Band",null,null,null,"Q Band"]
[null,null,"IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D","IF A","IF B","IF C","IF D"]
[null,1,40,39,40,40,34,33,33,33,27,26,26,26,29,29,30,30,36,35,33,33,51,49,50,50,49,48,53,52,88,86,80,79]
[null,2,37,36,null,31,33,33,null,35,23,22,null,29,31,30,null,29,28,27,null,28,42,42,null,45,49,48,null,50,57,55,null,62]
[null,3,29,null,30,30,null,null,35,35,null,null,33,33,33,null,32,32,34,null,34,34,46,null,52,52,46,null,50,50,78,null,75,75]
[null,4,30,30,27,28,33,32,34,33,28,28,29,29,27,27,29,29,27,27,24,24,51,51,49,48,57,57]
[null,5,32,31,31,31,30,30,33,33,31,30,33,33,28,27,28,29,32,31,36,37,47,45,44,44,51,49,53,53,57,55,82,83]
[null,6,31,32,34,34,31,32,33,33,23,23,29,29,35,36,26,26,35,35,34,34,55,56,56,55,58,60,54,53,70,71,78,77]
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