EAS1 Ground Calibrations

This page documents the EAS1 ground calibration data. This data was circulated by Dhiren Kataria on 27 May 2021.
Section 1 and 2 present peaks and widths of elevations bins for each azimuth (anode).
Section 3 shows Anode Geometric Factors (AGFs) for the a set of peak elevations and the peak elevations are chosen from Anode 2
Section 4 shows the formula used to calculate the quantum efficiencies and the table shows energy table and quantum efficiencies. Same energy table has been used for both EAS1 and EAS2 in ground calibrations.
Elevation values correspond to sensor look directions.

1) EAS1 Peaks of Elevation bins (degrees)

Below table shows the peak elevation response for individual azimuth pixels in ground calibration of EAS1 sensor.
First columns shows number of the elevation bin, second and third columns present the ratios applied to lower and upper deflector plates, respectively.
Fourth column shows the deflector ID and following 32 coumns present peak elevation response for 32 azimuthal bins.

    Peaks of Elevation bins for each Anode in degrees
Elevation Channel ID Lower Deflector Ratio Upper Deflector Ratio Elevation Channel ID Anode01(5.625)Anode02(16.875)Anode03(28.125)Anode04(39.375)Anode05(50.625)Anode06(61.875)Anode07(73.125)Anode08(84.375)Anode09(95.625)Anode10(106.875)Anode11(118.125)Anode12(129.375)Anode13(140.625)Anode14(151.875)Anode15(163.125)Anode16(174.375)Anode17(185.625)Anode18(196.875)Anode19(208.125)Anode20(219.375)Anode21(230.625)Anode22(241.875)Anode23(253.125)Anode24(264.375)Anode25(275.625)Anode26(286.875)Anode27(298.125)Anode28(309.375)Anode29(320.625)Anode30(331.875)Anode31(343.125)Anode32(354.375)
030Def_ID_043.750243.660643.644843.677143.516143.407143.383743.004342.647342.039741.441340.965241.303342.674243.298643.314943.33643.40243.505843.578444.033243.985539.569639.569640.304340.304344.022844.16443.671544.099343.959343.8013
12.60Def_ID_136.747836.725536.673336.658136.606136.43836.319735.890935.572835.44435.061734.8135.139435.715436.15536.422736.394836.627336.38536.559636.862937.060435.900935.900936.049436.049437.092936.960436.771536.911336.835136.8255
22.20Def_ID_230.388330.313830.297130.274130.221629.991829.967729.553629.463229.232229.033228.924729.098729.514329.833230.017730.113530.22830.029330.335330.674130.662330.731430.731430.793630.793630.650230.680130.366330.57930.454530.5259
31.80Def_ID_324.455124.398924.280924.274624.163624.052623.836723.603423.455523.357323.289123.141823.287623.639823.898424.04924.187924.26324.280324.376724.748824.668124.769924.769924.802224.802224.753324.646124.468624.596624.55224.4593
41.40Def_ID_418.724818.694618.633318.616618.516518.339418.217518.010917.870217.810817.727717.653317.809318.017518.231618.382618.505618.615218.642718.776918.994219.019419.068719.068719.133319.133319.043918.994118.759818.854318.797518.815
510Def_ID_513.208413.194213.137513.079413.035612.847312.737912.590612.407712.402412.36312.281712.404512.58912.761113.002813.035713.114613.203813.296713.467113.538913.645713.645713.586413.586413.540813.514713.399513.371613.373613.294
60.60Def_ID_67.848747.80487.751547.705847.602317.444867.383627.305057.16397.117277.080397.038987.10687.25577.481497.629877.688977.846557.84858.043688.112828.134288.195948.195948.205918.205918.145648.107418.025958.019327.918097.9153
70.20Def_ID_72.447612.392782.384462.323222.260032.126792.067062.044341.871981.863711.783761.765661.866551.981122.107912.28112.394352.459472.553112.720152.750372.767152.799362.799362.812482.812482.786182.799832.746292.677482.586152.54272
800.2Def_ID_8-2.91885-2.97216-2.98746-3.02906-3.12326-3.23183-3.27052-3.24438-3.38874-3.39443-3.52458-3.53905-3.48395-3.36545-3.1865-3.08915-3.02194-2.83943-2.80595-2.53709-2.61806-2.64473-2.59156-2.59156-2.58398-2.58398-2.66027-2.61469-2.57339-2.62099-2.8127-2.89075
900.6Def_ID_9-8.25754-8.33413-8.33764-8.41204-8.4697-8.57732-8.60563-8.54149-8.65674-8.66957-8.8013-8.83449-8.73876-8.65941-8.54106-8.40792-8.31704-8.25246-8.05643-7.84922-7.95873-7.99644-7.96929-7.96929-8.00068-8.00068-8.03386-7.99224-7.88125-7.98903-8.15463-8.25427
1001Def_ID_10-13.6737-13.6737-13.6874-13.7368-13.8134-13.8592-13.9028-13.7985-13.8331-13.909-14.0632-14.0555-13.9642-13.8975-13.8063-13.756-13.6841-13.5352-13.3567-13.1242-13.3445-13.3864-13.3953-13.3953-13.4149-13.4149-13.3997-13.3596-13.2215-13.2995-13.5152-13.6294
1101.4Def_ID_11-19.1383-19.1153-19.1432-19.1532-19.2109-19.2643-19.2671-19.1727-19.138-19.2661-19.4209-19.4058-19.3403-19.2664-19.1698-19.137-19.0541-18.9947-18.7315-18.5376-18.8457-18.8572-18.9277-18.9277-18.8982-18.8982-18.9113-18.8641-18.643-18.7757-18.9957-19.0982
1201.8Def_ID_12-24.8216-24.8055-24.7655-24.8024-24.8435-24.9041-24.9556-24.6652-24.6544-24.8029-24.977-24.9425-24.8817-24.8255-24.7582-24.7763-24.6646-24.6407-24.3253-24.1495-24.5367-24.5915-24.6273-24.6273-24.6331-24.6331-24.641-24.592-24.2858-24.3991-24.6995-24.8003
1302.2Def_ID_13-30.6831-30.6848-30.6731-30.6879-30.6974-30.7633-30.769-30.4521-30.4639-30.6156-30.7723-30.6608-30.6303-30.5964-30.5312-30.5525-30.515-30.5454-30.1411-30.0758-30.4893-30.5217-30.5916-30.5916-30.5912-30.5912-30.6035-30.5565-30.2415-30.2953-30.6747-30.7472
1402.6Def_ID_14-36.9523-36.9167-36.832-36.9026-36.8907-36.9025-36.886-36.6944-36.6395-36.7411-36.8327-36.7327-36.7032-36.7059-36.6311-36.7062-36.6852-36.756-36.3822-36.3565-36.7037-36.7764-36.9064-36.9064-36.963-36.963-36.9135-36.7984-36.604-36.6358-37.0224-36.9939
1503Def_ID_15-43.7553-43.6944-43.6397-43.6387-43.5509-43.5046-43.323-43.4545-43.3993-43.2257-43.4073-43.2675-43.1707-43.2666-43.2136-43.3315-43.2665-43.3489-43.233-43.3874-43.4103-43.6099-43.7333-43.7333-43.7537-43.7537-43.7152-43.7024-43.6065-43.5467-43.6937-43.8228


2) EAS1 Peak Widths of Elevations (degrees)

Below table shows the peak widths of elevation bins for individual azimuth pixels in ground calibration of EAS1 sensor.
First columns shows number of the elevation bin, second and third columns present the ratios applied to lower and upper deflector plates, respectively.
Fourth column shows the deflector ID and following 32 coumns present elevation widths for 32 azimuthal bins.

    Elevation widths for each Anode in degrees
Elevation Channel ID Lower Deflector Ratio Upper Deflector Ratio Elevation Channel ID Anode01(5.625)Anode02(16.875)Anode03(28.125)Anode04(39.375)Anode05(50.625)Anode06(61.875)Anode07(73.125)Anode08(84.375)Anode09(95.625)Anode10(106.875)Anode11(118.125)Anode12(129.375)Anode13(140.625)Anode14(151.875)Anode15(163.125)Anode16(174.375)Anode17(185.625)Anode18(196.875)Anode19(208.125)Anode20(219.375)Anode21(230.625)Anode22(241.875)Anode23(253.125)Anode24(264.375)Anode25(275.625)Anode26(286.875)Anode27(298.125)Anode28(309.375)Anode29(320.625)Anode30(331.875)Anode31(343.125)Anode32(354.375)
030Def_ID_09.663749.684059.594169.624789.776439.78810.75899.8312610.18719.045659.186878.737928.756310.544610.602910.110810.277710.15759.77749.8586810.11489.425956.912076.912077.096317.096319.562399.872549.601469.963759.737599.50586
12.60Def_ID_18.173918.275338.229398.254378.512638.581848.783398.316418.760918.223818.147668.143938.368438.92398.942468.878578.947498.902288.691948.431838.423638.349016.412636.412636.639226.639228.285488.35138.190428.256588.034548.18899
22.20Def_ID_27.054237.157917.01177.024217.237577.28887.43467.255657.529536.955227.284147.403557.508057.715377.639137.577257.67647.362977.336257.079687.270457.0877.109947.109947.102177.102177.029247.152966.878866.866536.835646.98809
31.80DefID_36.262136.194636.279786.326296.412926.474216.543696.419876.591626.324696.535756.50666.659166.746616.766136.683286.788656.635396.337266.237216.628576.315696.361426.361426.275896.275896.252556.317735.940875.960566.11036.31351
41.40Def_ID_45.493295.581855.533095.516045.599565.731375.895715.562955.864295.558755.772775.947835.890965.983276.055.911585.988845.763945.612315.46985.707765.640285.594335.594335.572375.572375.523115.554925.210775.206775.514155.47398
510Def_ID_54.822274.818674.793614.920284.983435.061955.132065.017975.11924.914865.125035.194175.188485.266415.311445.294435.316645.147564.96674.928675.072115.033335.0285.0284.898484.898484.843864.851164.592464.636484.828284.88557
60.60Def_ID_64.221354.260554.215574.272574.368114.386114.440544.358674.43214.326654.433134.591224.58334.548794.57064.600754.562424.578954.307334.316524.424714.266784.287414.287414.214534.214534.243264.196814.061593.976754.307184.193
70.20Def_ID_73.646133.618153.725663.664653.764133.779543.906883.818023.821463.68143.895583.856283.858693.943633.865843.887523.953663.906643.747543.716193.79413.714813.613233.613233.561653.561653.584023.598583.592683.354373.578223.66128
800.2Def_ID_83.179363.197213.201173.193773.270653.301773.315283.335953.329383.199853.34163.353243.371373.372953.3863.417523.342453.35493.292423.238963.274653.216383.222653.222653.152643.152643.079323.165453.095542.946273.218193.18742
900.6Def_ID_92.92373.024042.940522.983483.01893.119173.180383.090993.164632.92293.053843.126933.087763.158153.115263.151933.125383.072953.005053.005833.039822.963712.938462.938462.928422.928422.938222.8752.8842.758643.051222.96691
1001Def_ID_102.890032.923182.872722.894052.919233.024942.960472.8833.02292.807692.9813.109663.053213.019232.982232.989372.965652.972422.838472.845412.83932.79382.883892.883892.846422.846422.812592.766872.750052.629212.941322.86156
1101.4Def_ID_112.846822.883622.893862.896832.924972.97592.912322.883893.048812.759273.01223.083353.000833.057712.979663.005912.933522.959372.812142.756262.828572.8692.899382.899382.874372.874372.854382.767112.641322.67332.939632.8256
1201.8Def_ID_123.225773.231833.17323.189843.205483.346373.254563.183393.462633.196213.25153.309553.343463.432313.316073.228163.288253.120843.099543.035633.148753.222523.148793.148793.19953.19953.217643.110252.982962.977083.213383.10212
1302.2Def_ID_133.821923.857783.738123.704713.860313.889263.835213.923594.023873.798383.931574.021563.98354.045853.985833.855613.912073.883123.762833.735553.794053.839353.729453.729453.842193.842193.793213.798963.615253.655223.936213.6897
1402.6Def_ID_144.73364.848824.758914.746824.82754.883464.734974.665914.899094.694194.89424.929764.987265.055675.076194.897124.942794.745924.701464.612274.630984.676394.711064.711064.728984.728984.861254.583574.571354.611614.679874.64354
1503Def_ID_156.026266.119256.04655.955036.108256.173435.791295.985466.197885.763456.166046.247536.298846.533736.399566.274266.297566.025936.042616.026845.948816.120046.086116.086116.039896.039896.034415.912015.885725.822235.771475.87359


3) EAS1 Geometric factors for a reference elevation set

Below table shows the Geometric factors for each azimuth pixel obtained from ground calibration of EAS1 sensor.
First columns shows number of the elevation bin, second and third columns present the ratios applied to lower and upper deflector plates, respectively.
Fourth column shows the peak elevation angle for Azimuth-2 (Anode-2). Anode-2 response is very clean and is taken as a reference.
Following 32 coumns present geometric factors for 32 azimuthal/anode bins.

   Elevation(deg)Anode Geometric factors (cm^2 sr eV/eV)
Elevation Channel ID Lower Deflector Ratio Upper Deflector Ratio peak Elevation for Anode2 Anode01(5.625)Anode02(16.875)Anode03(28.125)Anode04(39.375)Anode05(50.625)Anode06(61.875)Anode07(73.125)Anode08(84.375)Anode09(95.625)Anode10(106.875)Anode11(118.125)Anode12(129.375)Anode13(140.625)Anode14(151.875)Anode15(163.125)Anode16(174.375)Anode17(185.625)Anode18(196.875)Anode19(208.125)Anode20(219.375)Anode21(230.625)Anode22(241.875)Anode23(253.125)Anode24(264.375)Anode25(275.625)Anode26(286.875)Anode27(298.125)Anode28(309.375)Anode29(320.625)Anode30(331.875)Anode31(343.125)Anode32(354.375)
03043.66063.84E-053.71E-053.97E-054.16E-054.22E-054.42E-054.34E-052.64E-053.59E-055.23E-054.41E-053.89E-053.98E-054.30E-054.39E-054.56E-054.47E-054.86E-053.15E-053.34E-054.91E-054.82E-059.26E-069.26E-061.08E-051.08E-054.36E-054.49E-052.79E-052.65E-054.24E-053.90E-05
12.6036.72553.54E-053.37E-053.64E-053.82E-053.82E-053.95E-054.15E-052.52E-053.10E-054.74E-054.01E-053.59E-053.72E-053.76E-053.93E-054.03E-054.08E-054.42E-052.86E-053.16E-054.60E-054.52E-053.09E-053.09E-053.07E-053.07E-054.11E-054.11E-052.69E-052.61E-053.87E-053.65E-05
22.2030.31383.10E-052.95E-053.21E-053.35E-053.39E-053.45E-053.54E-052.25E-052.67E-054.10E-053.58E-053.21E-053.27E-053.29E-053.36E-053.53E-053.56E-053.70E-052.64E-052.94E-053.99E-054.02E-053.75E-053.75E-053.53E-053.53E-053.66E-053.72E-052.46E-052.39E-053.39E-053.22E-05
31.8024.39892.82E-052.70E-052.93E-053.12E-053.07E-053.10E-053.06E-052.10E-052.35E-053.75E-053.22E-052.91E-052.98E-052.92E-053.03E-053.10E-053.22E-053.27E-052.42E-052.71E-053.46E-053.72E-053.40E-053.40E-053.29E-053.29E-053.34E-053.35E-052.22E-052.16E-052.96E-052.93E-05
41.4018.69462.65E-052.49E-052.68E-052.90E-052.85E-052.85E-052.75E-051.95E-052.10E-053.58E-053.04E-052.68E-052.75E-052.67E-052.75E-052.89E-052.96E-052.95E-052.17E-052.47E-053.18E-053.43E-053.26E-053.26E-053.10E-053.10E-053.10E-053.06E-052.09E-052.01E-052.75E-052.73E-05
51013.19422.51E-052.35E-052.60E-052.73E-052.67E-052.68E-052.60E-051.76E-051.95E-053.34E-052.84E-052.54E-052.59E-052.52E-052.67E-052.74E-052.73E-052.83E-051.99E-052.37E-053.01E-053.26E-053.08E-053.08E-052.86E-052.86E-052.91E-052.93E-051.96E-051.92E-052.56E-052.60E-05
60.607.80482.37E-052.26E-052.50E-052.59E-052.61E-052.62E-052.43E-051.69E-051.76E-053.21E-052.75E-052.38E-052.53E-052.39E-052.47E-052.61E-052.68E-052.60E-051.94E-052.30E-052.88E-053.13E-053.00E-053.00E-052.78E-052.78E-052.88E-052.73E-051.94E-051.81E-052.47E-052.50E-05
70.202.392782.33E-052.16E-052.39E-052.54E-052.48E-052.49E-052.34E-051.60E-051.71E-053.10E-052.63E-052.40E-052.37E-052.31E-052.42E-052.51E-052.62E-052.53E-051.86E-052.18E-052.74E-053.09E-052.85E-052.85E-052.70E-052.70E-052.68E-052.68E-051.84E-051.75E-052.33E-052.41E-05
800.2-2.972162.29E-052.15E-052.29E-052.46E-052.48E-052.45E-052.23E-051.61E-051.65E-053.14E-052.57E-052.27E-052.38E-052.25E-052.32E-052.48E-052.52E-052.44E-051.88E-052.13E-052.71E-052.90E-052.80E-052.80E-052.63E-052.63E-052.74E-052.59E-051.84E-051.73E-052.34E-052.35E-05
900.6-8.334132.27E-052.12E-052.29E-052.46E-052.51E-052.40E-052.29E-051.61E-051.67E-053.06E-052.55E-052.31E-052.36E-052.26E-052.33E-052.44E-052.49E-052.45E-051.83E-052.17E-052.68E-052.92E-052.76E-052.76E-052.66E-052.66E-052.69E-052.60E-051.82E-051.78E-052.37E-052.35E-05
1001-13.67372.27E-052.11E-052.32E-052.45E-052.46E-052.42E-052.30E-051.66E-051.65E-053.13E-052.61E-052.26E-052.33E-052.25E-052.30E-052.44E-052.51E-052.46E-051.88E-052.14E-052.77E-052.92E-052.76E-052.76E-052.61E-052.61E-052.69E-052.60E-051.82E-051.75E-052.39E-052.36E-05
1101.4-19.11532.22E-052.14E-052.35E-052.48E-052.49E-052.42E-052.32E-051.70E-051.75E-053.15E-052.60E-052.35E-052.41E-052.28E-052.40E-052.51E-052.57E-052.49E-051.91E-052.23E-052.82E-052.94E-052.84E-052.84E-052.69E-052.69E-052.72E-052.69E-051.92E-051.80E-052.44E-052.41E-05
1201.8-24.80552.40E-052.22E-052.48E-052.61E-052.55E-052.53E-052.53E-051.79E-051.85E-053.26E-052.73E-052.43E-052.56E-052.45E-052.46E-052.59E-052.70E-052.70E-052.08E-052.36E-052.99E-053.02E-052.95E-052.95E-052.74E-052.74E-052.84E-052.83E-052.00E-051.89E-052.55E-052.51E-05
1302.2-30.68482.61E-052.48E-052.73E-052.83E-052.85E-052.80E-052.82E-051.98E-052.04E-053.69E-053.03E-052.69E-052.82E-052.60E-052.72E-052.87E-052.99E-053.05E-052.39E-052.49E-053.40E-053.36E-053.22E-053.22E-053.03E-053.03E-053.13E-053.17E-052.22E-052.19E-052.92E-052.81E-05
1402.6-36.91673.12E-052.81E-053.12E-053.25E-053.26E-053.22E-053.43E-052.36E-052.38E-054.30E-053.53E-053.14E-053.22E-053.10E-053.17E-053.32E-053.41E-053.71E-052.77E-052.80E-053.97E-053.94E-053.74E-053.74E-053.53E-053.53E-053.62E-053.63E-052.47E-052.43E-053.45E-053.24E-05
1503-43.69443.72E-053.46E-053.73E-053.91E-053.93E-053.95E-053.96E-052.62E-052.87E-054.94E-054.37E-053.81E-053.91E-053.74E-053.91E-054.06E-054.20E-054.51E-053.13E-053.11E-054.75E-054.74E-054.49E-054.49E-054.22E-054.22E-054.28E-054.35E-052.72E-052.72E-054.14E-053.79E-05


4) Energy Efficiencies or Quantum Efficiencies

Energy/Quantum efficiencies are calculated using below formula:
QE = -0.0214*alog10(Energy)^3 + 0.074*alog10(Energy)^2 - 0.0594*alog10(Energy) + 0.8875

Same Energy table was used for both EAS1 and EAS2 sensors during ground calibration work.
Below table shows the energies and corresponding quantum efficiencies used in ground calibrations.

Energy (eV)Quantum Efficiency
1.06597880.885908
1.21826160.882937
1.39229890.880427
1.59119870.878353
1.81851280.876689
2.07830020.875411
2.37520030.874494
2.71451470.873912
3.10230260.87364
3.54548860.873654
4.05198720.873928
4.63084220.874437
5.29239130.875157
6.04844710.876062
6.91251090.877127
7.90001250.878328
9.02858640.879638
10.3183840.881034
11.7924390.88249
13.4770720.88398
15.4023690.885481
17.6027070.886966
20.1173780.888412
22.9912890.889792
26.2757630.891082
30.0294420.892256
34.3193590.893291
39.2221260.89416
44.8252870.894839
51.2289010.895302
58.5473180.895525
66.9112170.895482
76.4699630.895149
87.3942490.8945
99.8791350.893511
114.147580.892155
130.454390.89041
149.090730.888248
170.389400.885646
194.730730.882577
222.549410.879018
254.342190.874943
290.676790.870327
332.202030.865145
379.659450.859372
433.896550.852983
495.881770.845952
566.721980.838256
647.682310.829868
740.208370.820764
845.952390.810919
966.802730.800307
1104.91740.788904
1262.76280.776685
1443.15750.763624
1649.32280.749696
1884.94030.734877
2154.21750.719142
2461.96290.702465
2813.67190.684821
3215.62500.666185
3675.00000.646533
4200.00000.625838
4800.00000.604077