# Echo 22 focal plane parameters calculated from model in DESI-4037v6. # The plate scale varies with radius, and is different in the # meridional (radial) direction vs. the # sagittal (tangential/azimuthal) direction. The table below # contains the F/#, Focal Length, and Plate Scale vs. radius for # both the meridional and sagittal orientations at that radius. # Columns: # - Radius : radius from center of focal plane [mm] # - Theta radial angle that has a centroid at this radius [deg] # - MF/# : Meridional F/# # - SF/# : Sagittal F/# # - MFL : Meridional focal length [m] # - SFL : Sagittal focal length [m] # - MPS : Meridional plate scale [um/arcsec] # - SPS : Sagittal plate scale [um/arcsec] # Radius Theta MF/# SF/# MFL SFL MPS SPS 0.000000000 0.000000000 3.677117215 3.677117215 13.919703392 13.919703406 67.484569410 67.484569480 0.955314420 0.003932148 3.677120088 3.677118158 13.919713750 13.919706988 67.484619630 67.484586848 1.910630305 0.007864293 3.677128705 3.677120978 13.919745733 13.919717735 67.484774690 67.484638950 2.865949120 0.011796438 3.677143063 3.677125685 13.919799341 13.919735647 67.485034588 67.484725790 3.821272338 0.015728583 3.677163165 3.677132275 13.919874574 13.919760723 67.485399323 67.484847360 4.776601420 0.019660733 3.677189010 3.677140743 13.919971431 13.919792963 67.485868900 67.485003668 5.731937835 0.023592878 3.677220598 3.677151095 13.920089913 13.919832368 67.486443315 67.485194708 6.687283045 0.027525023 3.677257933 3.677163328 13.920230018 13.919878938 67.487122563 67.485420480 7.642638523 0.031457168 3.677301010 3.677177443 13.920391746 13.919932671 67.487906645 67.485680988 8.598005733 0.035389318 3.677349833 3.677193438 13.920575098 13.919993569 67.488795560 67.485976230 9.553386138 0.039321463 3.677404398 3.677211318 13.920780072 13.920061631 67.489789300 67.486306203 10.508781208 0.043253608 3.677464708 3.677231078 13.921006667 13.920136857 67.490887865 67.486670908 11.464192410 0.047185753 3.677530765 3.677252725 13.921254884 13.920219247 67.492091253 67.487070345 12.419621213 0.051117900 3.677602565 3.677276248 13.921524721 13.920308800 67.493399458 67.487504513 13.375069078 0.055050048 3.677680113 3.677301658 13.921816178 13.920405517 67.494812480 67.487973410 14.330537473 0.058982193 3.677763410 3.677328948 13.922129254 13.920509397 67.496330310 67.488477035 15.286027868 0.062914338 3.677852450 3.677358125 13.922463947 13.920620441 67.497952948 67.489015385 16.241541725 0.066846488 3.677947240 3.677389178 13.922820257 13.920738647 67.499680388 67.489588465 17.197080518 0.070778633 3.678047775 3.677422115 13.923198183 13.920864017 67.501512623 67.490196273 18.152645710 0.074710778 3.678154063 3.677456935 13.923597724 13.920996548 67.503449650 67.490838805 19.108238768 0.078642923 3.678266098 3.677493638 13.924018878 13.921136242 67.505491465 67.491516063 20.063861158 0.082575070 3.678383885 3.677532223 13.924461645 13.921283098 67.507638055 67.492228038 21.019514350 0.086507218 3.678507420 3.677572688 13.924926024 13.921437116 67.509889425 67.492974738 21.975199813 0.090439363 3.678636708 3.677615038 13.925412012 13.921598296 67.512245558 67.493756155 22.930919013 0.094371508 3.678771748 3.677659273 13.925919608 13.921766637 67.514706458 67.494572298 23.886673410 0.098303653 3.678912538 3.677705385 13.926448812 13.921942138 67.517272108 67.495423150 24.842464483 0.102235803 3.679059085 3.677753385 13.926999622 13.922124801 67.519942505 67.496308725 25.798293693 0.106167948 3.679211385 3.677803268 13.927572036 13.922314623 67.522717645 67.497229008 26.754162515 0.110100093 3.679369440 3.677855035 13.928166053 13.922511606 67.525597515 67.498184010 27.710072410 0.114032238 3.679533253 3.677908678 13.928781671 13.922715749 67.528582115 67.499173718 28.666024850 0.117964388 3.679702823 3.677964208 13.929418889 13.922927050 67.531671430 67.500198138 29.622021305 0.121896533 3.679878148 3.678021625 13.930077705 13.923145511 67.534865458 67.501257263 30.578063235 0.125828678 3.680059238 3.678080915 13.930758117 13.923371131 67.538164183 67.502351100 31.534152118 0.129760823 3.680246088 3.678142098 13.931460123 13.923603909 67.541567605 67.503479633 32.490289418 0.133692970 3.680438698 3.678205163 13.932183722 13.923843845 67.545075708 67.504642873 33.446476605 0.137625118 3.680637068 3.678270105 13.932928913 13.924090938 67.548688490 67.505840818 34.402715150 0.141557263 3.680841205 3.678336938 13.933695692 13.924345188 67.552405943 67.507073458 35.359006523 0.145489408 3.681051105 3.678405653 13.934484059 13.924606596 67.556228045 67.508340795 36.315352193 0.149421553 3.681266770 3.678476248 13.935294011 13.924875159 67.560154805 67.509642828 37.271753628 0.153353703 3.681488205 3.678548733 13.936125547 13.925150879 67.564186200 67.510979548 38.228212293 0.157285848 3.681715410 3.678623098 13.936978665 13.925433754 67.568322230 67.512350968 39.184729665 0.161217993 3.681948380 3.678699345 13.937853362 13.925723784 67.572562875 67.513757070 40.141307218 0.165150138 3.682187123 3.678777475 13.938749637 13.926020969 67.576908135 67.515197860 41.097946413 0.169082288 3.682431640 3.678857498 13.939667487 13.926325308 67.581357998 67.516673340 42.054648725 0.173014433 3.682681930 3.678939398 13.940606912 13.926636801 67.585912453 67.518183500 43.011415625 0.176946578 3.682938000 3.679023185 13.941567908 13.926955447 67.590571485 67.519728333 43.968248585 0.180878723 3.683199843 3.679108855 13.942550474 13.927281246 67.595335095 67.521307853 44.925149078 0.184810870 3.683467465 3.679196413 13.943554608 13.927614197 67.600203270 67.522922045 45.882118568 0.188743018 3.683740865 3.679285855 13.944580307 13.927954300 67.605175998 67.524570908 46.839158533 0.192675163 3.684020050 3.679377183 13.945627570 13.928301555 67.610253265 67.526254445 47.796270445 0.196607308 3.684305018 3.679470393 13.946696395 13.928655961 67.615435070 67.527972655 48.753455778 0.200539458 3.684595768 3.679565488 13.947786779 13.929017517 67.620721400 67.529725528 49.710715993 0.204471603 3.684892308 3.679662468 13.948898721 13.929386223 67.626112245 67.531513060 50.668052578 0.208403748 3.685194633 3.679761335 13.950032219 13.929762079 67.631607588 67.533335263 51.625467000 0.212335893 3.685502748 3.679862088 13.951187270 13.930145084 67.637207430 67.535192120 52.582960730 0.216268040 3.685816658 3.679964728 13.952363873 13.930535237 67.642911758 67.537083635 53.540535245 0.220200188 3.686136360 3.680069255 13.953562026 13.930932538 67.648720560 67.539009805 54.498192013 0.224132333 3.686461858 3.680175665 13.954781726 13.931336988 67.654633830 67.540970628 55.455932515 0.228064478 3.686793150 3.680283963 13.956022972 13.931748584 67.660651558 67.542966098 56.413758223 0.231996623 3.687130243 3.680394143 13.957285763 13.932167327 67.666773730 67.544996220 57.371670610 0.235928773 3.687473138 3.680506215 13.958570095 13.932593216 67.673000345 67.547060990 58.329671155 0.239860918 3.687821833 3.680620173 13.959875968 13.933026250 67.679331388 67.549160400 59.287761330 0.243793063 3.688176338 3.680736013 13.961203379 13.933466430 67.685766858 67.551294450 60.245942613 0.247725208 3.688536645 3.680853745 13.962552327 13.933913755 67.692306733 67.553463135 61.204216478 0.251657358 3.688902768 3.680973365 13.963922810 13.934368223 67.698951018 67.555666463 62.162537570 0.255589503 3.689274698 3.681094873 13.965314826 13.934829836 67.705699698 67.557904420 63.121000933 0.259521648 3.689652435 3.681218263 13.966728374 13.935298592 67.712552768 67.560177008 64.079561308 0.263453793 3.690035993 3.681343543 13.968163452 13.935774490 67.719510218 67.562484230 65.038220163 0.267385940 3.690425368 3.681470715 13.969620059 13.936257531 67.726572040 67.564826073 65.996978985 0.271318088 3.690820560 3.681599773 13.971098194 13.936747714 67.733738230 67.567202545 66.955839253 0.275250233 3.691221578 3.681730715 13.972597854 13.937245038 67.741008783 67.569613643 67.914802435 0.279182378 3.691628420 3.681863553 13.974119038 13.937749503 67.748383685 67.572059355 68.873870023 0.283114523 3.692041083 3.681998275 13.975661746 13.938261109 67.755862940 67.574539688 69.833043488 0.287046673 3.692459578 3.682134890 13.977225976 13.938779855 67.763446535 67.577054638 70.792324308 0.290978818 3.692883908 3.682273393 13.978811726 13.939305740 67.771134460 67.579604200 71.751713973 0.294910963 3.693314065 3.682413783 13.980418997 13.939838765 67.778926723 67.582188373 72.711213955 0.298843110 3.693750060 3.682556063 13.982047786 13.940378928 67.786823310 67.584807155 73.670825738 0.302775258 3.694191893 3.682700235 13.983698094 13.940926230 67.794824223 67.587460548 74.630550800 0.306707403 3.694639570 3.682846295 13.985369919 13.941480670 67.802929448 67.590148548 75.590390628 0.310639548 3.695093085 3.682994250 13.987063260 13.942042248 67.811138993 67.592871150 76.550346703 0.314571693 3.695552453 3.683144093 13.988778117 13.942610962 67.819452848 67.595628353 77.510336143 0.318503840 3.696017665 3.683295823 13.990514490 13.943186814 67.827871013 67.598420160 78.470528593 0.322435988 3.696488728 3.683449450 13.992272378 13.943769803 67.836393488 67.601246565 79.430841740 0.326368133 3.696965643 3.683604965 13.994051780 13.944359927 67.845020265 67.604107568 80.391277075 0.330300278 3.697448415 3.683762373 13.995852698 13.944957187 67.853751350 67.607003168 81.351836070 0.334232428 3.697937048 3.683921673 13.997675129 13.945561583 67.862586743 67.609933358 82.312520225 0.338164573 3.698431540 3.684082865 13.999519075 13.946173115 67.871526438 67.612898143 83.273331018 0.342096718 3.698931895 3.684245950 14.001384536 13.946791781 67.880570443 67.615897518 84.234269935 0.346028863 3.699438120 3.684410930 14.003271512 13.947417582 67.889718748 67.618931485 85.195338460 0.349961010 3.699950213 3.684577800 14.005180003 13.948050518 67.898971365 67.622000040 86.156538085 0.353893158 3.700468178 3.684746563 14.007110010 13.948690587 67.908328300 67.625103183 87.117870298 0.357825303 3.700992020 3.684917223 14.009061534 13.949337791 67.917789545 67.628240910 88.079336578 0.361757448 3.701521740 3.685089773 14.011034575 13.949992128 67.927355110 67.631413225 89.040938428 0.365689593 3.702057340 3.685264220 14.013029135 13.950653599 67.937024998 67.634620125 90.002677325 0.369621743 3.702598825 3.685440560 14.015045214 13.951322204 67.946799215 67.637861610 90.964554760 0.373553888 3.703146198 3.685618793 14.017082813 13.951997942 67.956677770 67.641137680 91.926572228 0.377486033 3.703699458 3.685798923 14.019141935 13.952680813 67.966660665 67.644448325 92.888731215 0.381418178 3.704258615 3.685980953 14.021222580 13.953370817 67.976747910 67.647793555 93.851033213 0.385350328 3.704823668 3.686164873 14.023324751 13.954067954 67.986939515 67.651173368 94.813479718 0.389282473 3.705394618 3.686350690 14.025448449 13.954772224 67.997235483 67.654587763 95.776072213 0.393214618 3.705971470 3.686538410 14.027593676 13.955483627 68.007635830 67.658036740 96.738812203 0.397146763 3.706554223 3.686728020 14.029760435 13.956202162 68.018140565 67.661520293 97.701701173 0.401078910 3.707142893 3.686919528 14.031948728 13.956927830 68.028749700 67.665038430 98.664578295 0.405011058 3.707737473 3.687112933 14.034158557 13.957660632 68.039463245 67.668591148 99.627768858 0.408943203 3.708337965 3.687308238 14.036389925 13.958400566 68.050281213 67.672178448 100.590916253 0.412875348 3.708944378 3.687505440 14.038642836 13.959147633 68.061203620 67.675800323 101.554414475 0.416807493 3.709556708 3.687704540 14.040917291 13.959901833 68.072230483 67.679456788 102.518069185 0.420739643 3.710174965 3.687905540 14.043213295 13.960663166 68.083361813 67.683147835 103.481881880 0.424671788 3.710799150 3.688108440 14.045530852 13.961431633 68.094597638 67.686873460 104.445854068 0.428603933 3.711429265 3.688313240 14.047869963 13.962207233 68.105937963 67.690633673 105.409987243 0.432536080 3.712065315 3.688519940 14.050230635 13.962989966 68.117382810 67.694428468 106.374282898 0.436468228 3.712707303 3.688728538 14.052612870 13.963779834 68.128932200 67.698257850 107.338742540 0.440400373 3.713355233 3.688939038 14.055016674 13.964576836 68.140586160 67.702121823 108.303367665 0.444332518 3.714009110 3.689151443 14.057442050 13.965380972 68.152344703 67.706020383 109.268159783 0.448264663 3.714668930 3.689365748 14.059889003 13.966192243 68.164207858 67.709953533 110.233120388 0.452196813 3.715334708 3.689581950 14.062357538 13.967010649 68.176175645 67.713921278 111.198250985 0.456128958 3.716006438 3.689800060 14.064847661 13.967836191 68.188248093 67.717923610 112.163553083 0.460061103 3.716684128 3.690020070 14.067359377 13.968668868 68.200425223 67.721960543 113.129028175 0.463993248 3.717367780 3.690241990 14.069892691 13.969508682 68.212707068 67.726032068 114.094677778 0.467925398 3.718057398 3.690465808 14.072447610 13.970355633 68.225093655 67.730138198 115.060503385 0.471857543 3.718752983 3.690691530 14.075024139 13.971209721 68.237585008 67.734278933 116.026495295 0.475789688 3.719454543 3.690919160 14.077622285 13.972070947 68.250181163 67.738454273 116.992677713 0.479721833 3.720162080 3.691148695 14.080242054 13.972939312 68.262882153 67.742664218 117.959040668 0.483653980 3.720875600 3.691380130 14.082883454 13.973814815 68.275688005 67.746908778 118.925585668 0.487586128 3.721595103 3.691613478 14.085546490 13.974697459 68.288598763 67.751187945 119.892314215 0.491518273 3.722320593 3.691848728 14.088231172 13.975587242 68.301614458 67.755501735 120.859227833 0.495450418 3.723052073 3.692085888 14.090937505 13.976484167 68.314735118 67.759850148 121.826328023 0.499382563 3.723789550 3.692324958 14.093665498 13.977388234 68.327960793 67.764233183 122.793616300 0.503314713 3.724533028 3.692565928 14.096415160 13.978299443 68.341291520 67.768650848 123.761094175 0.507246858 3.725282508 3.692808818 14.099186498 13.979217796 68.354727330 67.773103145 124.728763163 0.511179003 3.726037995 3.693053608 14.101979521 13.980143294 68.368268275 67.777590080 125.696624775 0.515111148 3.726799495 3.693300308 14.104794238 13.981075937 68.381914398 67.782111655 126.664680530 0.519043298 3.727567008 3.693548918 14.107630658 13.982015725 68.395665743 67.786667878 127.632931940 0.522975443 3.728340540 3.693799445 14.110488791 13.982962662 68.409522348 67.791258748 128.601380515 0.526907588 3.729120098 3.694051878 14.113368646 13.983916746 68.423484265 67.795884275 129.570027785 0.530839733 3.729905680 3.694306225 14.116270233 13.984877980 68.437551545 67.800544465 130.538875260 0.534771880 3.730697290 3.694562483 14.119193562 13.985846364 68.451724235 67.805239320 131.507924463 0.538704028 3.731494943 3.694820653 14.122138645 13.986821900 68.466002385 67.809968850 132.477176905 0.542636173 3.732298625 3.695080738 14.125105491 13.987804589 68.480386050 67.814733053 133.446634120 0.546568318 3.733108355 3.695342735 14.128094113 13.988794432 68.494875280 67.819531945 134.416297620 0.550500463 3.733924135 3.695606648 14.131104520 13.989791431 68.509470138 67.824365523 135.386168925 0.554432613 3.734745965 3.695872473 14.134136726 13.990795586 68.524170675 67.829233803 136.356249563 0.558364758 3.735573850 3.696140218 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