# Echo 22 focal plane parameters from Figure 7 of DESI-0329v3. # 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 0 3.678707383 3.678707457 13.92433205 13.92433205 67.50706676 67.50706676 1 0.004114797 3.678711788 3.678708901 13.92436237 13.92435007 67.50721377 67.50715416 2 0.008229587 3.678720064 3.678711613 13.92439741 13.92436934 67.50738368 67.50724758 3 0.012344363 3.678735414 3.678716643 13.92444191 13.92439109 67.50759941 67.50735303 4 0.016459119 3.678757789 3.678723975 13.92450059 13.92441657 67.50788388 67.50747655 5 0.020573847 3.678786298 3.678733317 13.92457817 13.92444701 67.50825998 67.50762415 6 0.024688541 3.678820901 3.678744656 13.92467937 13.92448367 67.50875064 67.50780184 7 0.028803193 3.678861846 3.678758073 13.92480893 13.92452777 67.50937876 67.50801565 8 0.032917798 3.678909157 3.678773577 13.92497157 13.92458056 67.51016726 67.5082716 9 0.037032347 3.678962768 3.678791144 13.92517082 13.92464304 67.51113325 67.50857451 10 0.041146835 3.679022666 3.678810771 13.92540515 13.92471514 67.51226932 67.50892405 11 0.045261253 3.679088871 3.678832465 13.92567169 13.92479651 67.51356154 67.50931856 12 0.049375595 3.679161386 3.678856226 13.92596756 13.92488682 67.51499596 67.50975637 13 0.053489855 3.679240206 3.678882052 13.92628989 13.92498571 67.51655864 67.5102358 14 0.057604023 3.67932533 3.678909943 13.92663579 13.92509284 67.51823565 67.51075519 15 0.061718095 3.67941676 3.678939899 13.92700241 13.92520787 67.52001305 67.51131285 16 0.065832062 3.679514496 3.678971921 13.92738685 13.92533044 67.52187689 67.51190713 17 0.069945918 3.679618536 3.679006008 13.92778692 13.92546029 67.52381645 67.51253666 18 0.074059655 3.679728881 3.679042159 13.92820338 13.92559743 67.52583554 67.51320153 19 0.078173268 3.679845531 3.679080375 13.92863788 13.92574196 67.52794204 67.51390222 20 0.082286748 3.679968487 3.679120655 13.92909204 13.92589398 67.53014385 67.51463923 21 0.086400089 3.680097747 3.679162999 13.92956749 13.92605359 67.53244889 67.51541304 22 0.090513284 3.680233312 3.679207407 13.93006585 13.92622089 67.53486504 67.51622414 23 0.094626326 3.680375182 3.679253879 13.93058877 13.92639598 67.5374002 67.51707301 24 0.098739208 3.680523356 3.679302414 13.93113786 13.92657897 67.54006228 67.51796015 25 0.102851924 3.680677835 3.679353012 13.93171443 13.92676993 67.54285756 67.51888596 26 0.106964466 3.680838618 3.679405673 13.93231816 13.92696887 67.54578453 67.51985045 27 0.111076827 3.681005706 3.679460397 13.93294825 13.92717576 67.54883932 67.5208535 28 0.115189 3.681179098 3.679517183 13.93360392 13.92739059 67.55201805 67.52189498 29 0.119300979 3.681358794 3.679576031 13.93428434 13.92761331 67.55531686 67.52297479 30 0.123412755 3.681544793 3.67963694 13.93498874 13.92784392 67.55873187 67.5240928 31 0.127524323 3.681737097 3.679699911 13.9357163 13.92808238 67.5622592 67.5252489 32 0.131635675 3.681935704 3.679764942 13.93646624 13.92832868 67.565895 67.52644298 33 0.135746803 3.682140616 3.679832034 13.93723789 13.92858278 67.56963605 67.52767491 34 0.139857702 3.68235183 3.679901186 13.93803131 13.92884468 67.57348269 67.52894463 35 0.143968365 3.682569348 3.679972399 13.93884682 13.92911436 67.57743639 67.53025205 36 0.148078785 3.68279317 3.680045671 13.93968472 13.9293918 67.58149863 67.53159713 37 0.152188955 3.683023294 3.680121002 13.94054531 13.92967699 67.58567088 67.53297977 38 0.15629887 3.683259721 3.680198392 13.94142889 13.92996992 67.58995461 67.53439993 39 0.160408522 3.683502451 3.680277839 13.94233577 13.93027057 67.5943513 67.53585752 40 0.164517905 3.683751483 3.680359344 13.94326626 13.93057892 67.59886242 67.53735248 41 0.168627012 3.684006818 3.680442907 13.94422061 13.93089498 67.60348925 67.53888477 42 0.172735836 3.684268455 3.680528527 13.94519885 13.93121876 67.60823187 67.5404545 43 0.176844371 3.684536394 3.680616204 13.9462009 13.9315503 67.61308997 67.54206182 44 0.180952607 3.684810636 3.680705936 13.94722671 13.93188962 67.61806322 67.54370691 45 0.185060539 3.685091178 3.680797724 13.9482762 13.93223677 67.62315131 67.54538992 46 0.189168159 3.685378022 3.680891567 13.94934931 13.93259177 67.6283539 67.54711102 47 0.19327546 3.685671168 3.680987465 13.95044598 13.93295466 67.63367068 67.54887036 48 0.197382434 3.685970614 3.681085416 13.95156613 13.93332547 67.63910133 67.55066812 49 0.201489074 3.686276362 3.681185421 13.95270971 13.93370423 67.64464555 67.55250439 50 0.205595374 3.68658841 3.681287479 13.95387669 13.93409088 67.65030325 67.55437891 51 0.209701327 3.686906758 3.68139159 13.95506708 13.93448533 67.65607442 67.55629128 52 0.213806926 3.687231407 3.681497752 13.95628087 13.9348875 67.66195902 67.55824107 53 0.217912167 3.687562356 3.681605967 13.95751805 13.93529731 67.66795704 67.56022788 54 0.222017041 3.687899605 3.681716232 13.95877862 13.93571467 67.67406846 67.56225129 55 0.226121543 3.688243152 3.681828546 13.96006258 13.9361395 67.68029327 67.56431091 56 0.230225667 3.688592999 3.68194291 13.96136992 13.93657171 67.68663143 67.56640632 57 0.234329405 3.688949145 3.682059324 13.96270064 13.93701124 67.69308295 67.56853725 58 0.238432752 3.68931159 3.682177785 13.96405474 13.93745827 67.69964783 67.57070447 59 0.242535699 3.689680333 3.682298295 13.96543224 13.93791302 67.70632613 67.57290919 60 0.24663824 3.690055374 3.682420852 13.96683314 13.93837576 67.71311786 67.57515261 61 0.250740368 3.690436713 3.682545456 13.96825744 13.93884674 67.72002308 67.57743597 62 0.254842074 3.69082435 3.682672105 13.96970516 13.9393262 67.72704182 67.57976046 63 0.258943353 3.691218284 3.682800799 13.9711763 13.93981439 67.73417411 67.58212729 64 0.263044196 3.691618515 3.682931538 13.97267087 13.94031157 67.74141999 67.5845377 65 0.267144597 3.692025042 3.683064321 13.97418888 13.9408179 67.7487795 67.58699245 66 0.271244549 3.692437866 3.683199147 13.97573031 13.94133283 67.75625256 67.5894889 67 0.275344046 3.692856985 3.683336016 13.97729514 13.94185546 67.7638391 67.59202265 68 0.279443081 3.693282401 3.683474927 13.97888336 13.94238487 67.77153901 67.59458934 69 0.283541649 3.693714111 3.683615878 13.98049495 13.94292018 67.77935219 67.59718458 70 0.287639743 3.694152117 3.68375887 13.98212987 13.94346047 67.78727854 67.59980399 71 0.291737356 3.694596416 3.683903902 13.98378813 13.94400485 67.79531797 67.60244319 72 0.295834483 3.69504701 3.684050973 13.98546968 13.9445524 67.80347039 67.60509779 73 0.299931118 3.695503899 3.684200082 13.98717453 13.94510238 67.8117357 67.60776421 74 0.304027252 3.69596708 3.684351228 13.98890266 13.94565568 67.82011393 67.61044667 75 0.308122879 3.696436555 3.684504411 13.9906541 13.94621408 67.82860518 67.61315384 76 0.312217992 3.696912322 3.684659631 13.99242888 13.94677936 67.83720952 67.61589439 77 0.316312583 3.697394381 3.684816885 13.994227 13.94735332 67.84592705 67.61867704 78 0.320406644 3.697882732 3.684976174 13.99604848 13.94793776 67.85475786 67.62151047 79 0.324500168 3.698377375 3.685137496 13.99789335 13.94853446 67.86370204 67.62440339 80 0.328593147 3.698878308 3.685300851 13.99976162 13.94914523 67.87275968 67.62736449 81 0.332685575 3.699385532 3.685466237 14.00165331 13.9497717 67.88193085 67.63040168 82 0.336777445 3.699899046 3.685633655 14.00356841 13.95041352 67.89121552 67.63351332 83 0.34086875 3.700418849 3.685803103 14.0055069 13.95106906 67.90061356 67.63669145 84 0.344959484 3.700944942 3.685974581 14.00746875 13.95173664 67.91012486 67.63992797 85 0.349049642 3.701477323 3.686148087 14.00945393 13.9524146 67.91974928 67.64321481 86 0.353139216 3.702015992 3.686323622 14.01146241 13.95310127 67.9294867 67.64654388 87 0.357228202 3.702560949 3.686501184 14.01349419 13.95379498 67.93933701 67.6499071 88 0.361316593 3.703112193 3.686680771 14.01554922 13.95449407 67.94930008 67.65329639 89 0.365404382 3.703669723 3.686862383 14.01762748 13.95519694 67.95937579 67.65670398 90 0.369491564 3.704233539 3.68704602 14.01972897 13.955903 67.96956408 67.66012708 91 0.373578132 3.704803641 3.687231681 14.02185367 13.9566125 67.97986494 67.66356681 92 0.377664079 3.705380029 3.687419364 14.02400159 13.95732569 67.99027835 67.66702445 93 0.381749399 3.7059627 3.687609068 14.02617273 13.95804283 68.00080432 67.67050123 94 0.385834085 3.706551654 3.687800794 14.02836708 13.95876417 68.01144282 67.67399842 95 0.389918131 3.707146892 3.687994539 14.03058464 13.95948999 68.02219386 67.67751726 96 0.39400153 3.707748413 3.688190303 14.0328254 13.96022052 68.03305741 67.68105902 97 0.398084276 3.708356215 3.688388085 14.03508938 13.96095606 68.04403347 67.68462501 98 0.402166362 3.708970299 3.688587883 14.03737656 13.96169727 68.05512202 67.68821846 99 0.406247782 3.709590664 3.688789699 14.03968694 13.96244516 68.06632306 67.69184437 100 0.410328527 3.710217309 3.688993529 14.04202052 13.96320081 68.07763656 67.69550783 101 0.414408591 3.710850233 3.689199374 14.04437729 13.96396525 68.08906252 67.69921394 102 0.418487967 3.711489436 3.689407232 14.04675725 13.96473953 68.10060091 67.70296778 103 0.422566648 3.712134916 3.689617102 14.04916041 13.96552471 68.11225173 67.70677444 104 0.426644628 3.712786674 3.689828983 14.05158675 13.96632184 68.12401495 67.71063902 105 0.430721898 3.713444709 3.690042875 14.05403627 13.96713193 68.13589057 67.71456645 106 0.434798453 3.71410902 3.690258776 14.05650897 13.96795503 68.14787855 67.71855696 107 0.438874288 3.714779605 3.690476685 14.05900483 13.96878998 68.15997884 67.72260491 108 0.442949395 3.715456466 3.690696602 14.06152385 13.96963555 68.17219139 67.72670433 109 0.447023769 3.7161396 3.690918525 14.06406601 13.9704905 68.18451615 67.73084925 110 0.451097405 3.716829008 3.691142452 14.06663131 13.9713536 68.19695306 67.73503369 111 0.455170297 3.717524687 3.691368384 14.06921973 13.97222362 68.20950208 67.73925169 112 0.459242439 3.718226637 3.69159632 14.07183126 13.97309933 68.22216314 67.74349725 113 0.463313825 3.718934858 3.691826258 14.07446589 13.97397951 68.2349362 67.74776446 114 0.46738445 3.719649349 3.692058198 14.07712361 13.9748636 68.24782118 67.75205065 115 0.471454305 3.720370108 3.692292137 14.0798044 13.97575212 68.260818 67.75635832 116 0.475523385 3.721097136 3.692528074 14.08250823 13.97664568 68.27392654 67.76069043 117 0.479591682 3.721830431 3.692766011 14.08523508 13.9775449 68.2871467 67.76504996 118 0.48365919 3.722569992 3.693005944 14.08798494 13.97845038 68.30047838 67.76943987 119 0.487725902 3.723315818 3.693247873 14.09075778 13.97936275 68.31392149 67.77386314 120 0.49179181 3.724067909 3.693491797 14.09355358 13.9802826 68.3274759 67.77832272 121 0.495856909 3.724826264 3.693737714 14.09637232 13.98121056 68.34114154 67.78282159 122 0.49992119 3.725590881 3.693985624 14.099214 13.98214701 68.35491839 67.78736161 123 0.50398465 3.72636176 3.694235526 14.10207867 13.98309184 68.36880672 67.79194226 124 0.508047281 3.727138899 3.694487419 14.10496639 13.98404488 68.38280678 67.79656274 125 0.512109078 3.727922299 3.6947413 14.10787721 13.98500596 68.39691885 67.80122222 126 0.516170034 3.728711957 3.69499717 14.1108112 13.98597493 68.41114321 67.80591988 127 0.520230145 3.729507873 3.695255026 14.1137684 13.9869516 68.42548012 67.81065492 128 0.524289404 3.730310045 3.695514868 14.11674887 13.98793581 68.43992987 67.8154265 129 0.528347805 3.731118473 3.695776696 14.11975268 13.98892739 68.45449272 67.82023381 130 0.532405342 3.731933157 3.696040508 14.1227798 13.98992621 68.46916864 67.82507625 131 0.536462008 3.732754093 3.696306302 14.12583004 13.9909323 68.48395659 67.8299539 132 0.540517798 3.733581283 3.696574077 14.12890313 13.99194569 68.49885536 67.83486696 133 0.544572704 3.734414723 3.696843832 14.13199883 13.99296643 68.51386374 67.83981563 134 0.548626718 3.735254414 3.697115567 14.13511689 13.99399455 68.52898052 67.84480012 135 0.552679836 3.736100354 3.69738928 14.13825705 13.99503011 68.54420447 67.84982063 136 0.556732049 3.736952541 3.69766497 14.14141907 13.99607314 68.55953438 67.85487738 137 0.560783352 3.737810976 3.697942635 14.1446027 13.99712368 68.57496904 67.85997056 138 0.564833736 3.738675656 3.698222274 14.14780784 13.99818177 68.59050801 67.86510033 139 0.568883198 3.739546581 3.698503887 14.15103516 13.9992474 68.60615448 67.87026666 140 0.57293173 3.740423749 3.698787473 14.15428554 14.00032056 68.62191274 67.87546945 141 0.576979328 3.74130716 3.699073029 14.15755985 14.00140121 68.63778704 67.88070862 142 0.581025985 3.742196811 3.699360555 14.16085897 14.00248935 68.65378167 67.88598405 143 0.585071696 3.743092702 3.699650049 14.1641838 14.00358495 68.66990087 67.89129566 144 0.589116455 3.74399483 3.699941511 14.1675352 14.00468799 68.68614894 67.89664335 145 0.593160257 3.744903196 3.700234939 14.17091407 14.00579845 68.70253013 67.90202703 146 0.597203095 3.745817798 3.700530331 14.17432092 14.00691632 68.71904703 67.90744661 147 0.601244965 3.746738634 3.700827687 14.17775366 14.00804159 68.7356894 67.91290206 148 0.605285858 3.747665703 3.701127006 14.18120895 14.00917425 68.75244116 67.91839339 149 0.60932577 3.748599004 3.701428286 14.18468349 14.01031432 68.76928617 67.92392059 150 0.613364695 3.749538535 3.701731527 14.18817393 14.01146179 68.78620831 67.92948369 151 0.617402625 3.750484295 3.702036725 14.19167696 14.01261666 68.80319146 67.93508266 152 0.621439554 3.751436283 3.702343882 14.19518924 14.01377894 68.82021949 67.94071753 153 0.625475478 3.752394497 3.702652994 14.19870745 14.01494862 68.83727628 67.94638829 154 0.629510388 3.753358936 3.702964062 14.20222868 14.0161257 68.85434764 67.95209495 155 0.63354428 3.754329598 3.703277083 14.2057555 14.01731018 68.87144618 67.95783746 156 0.637577148 3.755306481 3.703592056 14.20929454 14.01850203 68.8886039 67.96361574 157 0.641608986 3.756289586 3.703908982 14.21285247 14.01970125 68.90585326 67.96942973 158 0.645639788 3.757278909 3.704227857 14.21643601 14.02090782 68.92322673 67.97527934 159 0.64966955 3.758274449 3.704548681 14.22005183 14.02212172 68.94075675 67.9811645 160 0.653698265 3.759276205 3.704871452 14.22370665 14.02334294 68.95847579 67.98708514 161 0.657725927 3.760284175 3.705196169 14.22740714 14.02457146 68.97641629 67.99304117 162 0.661752532 3.761298358 3.705522831 14.23115983 14.02580727 68.99460983 67.99903253 163 0.665778073 3.762318753 3.705851436 14.23496539 14.02705036 69.01305971 68.00505918 164 0.669802545 3.763345357 3.706181984 14.23881761 14.02830073 69.03173579 68.01112114 165 0.673825941 3.764378169 3.706514472 14.24270986 14.02955838 69.05060598 68.01721842 166 0.677848257 3.765417187 3.706848901 14.24663553 14.03082332 69.06963817 68.02335104 167 0.681869484 3.766462411 3.707185267 14.250588 14.03209556 69.08880028 68.02951901 168 0.685889619 3.767513837 3.707523571 14.25456065 14.03337509 69.10806023 68.03572236 169 0.689908655 3.768571464 3.70786381 14.25854686 14.03466192 69.12738591 68.04196109 170 0.693926586 3.769635292 3.708205983 14.26254003 14.03595605 69.14674533 68.04823522 171 0.697943407 3.770705318 3.70855009 14.26653644 14.03725749 69.16612047 68.05454475 172 0.70195911 3.77178154 3.708896128 14.27053827 14.03856621 69.18552192 68.0608896 173 0.705973692 3.772863957 3.709244096 14.27454844 14.0398822 69.20496378 68.0672697 174 0.709987145 3.773952567 3.709593993 14.27856986 14.04120544 69.22446014 68.07368495 175 0.713999464 3.775047368 3.709945817 14.28260542 14.04253592 69.24402511 68.0801353 176 0.718010644 3.776148359 3.710299568 14.28665805 14.04387362 69.2636728 68.08662065 177 0.722020677 3.777255537 3.710655244 14.29073064 14.04521852 69.28341728 68.09314093 178 0.72602956 3.778368902 3.711012843 14.29482611 14.04657061 69.30327268 68.09969607 179 0.730037284 3.77948845 3.711372365 14.29894683 14.04792989 69.32325051 68.10628601 180 0.734043847 3.780614181 3.711733807 14.30309312 14.04929636 69.34335225 68.11291087 181 0.738049241 3.781746093 3.712097168 14.30726475 14.05067007 69.36357691 68.11957077 182 0.742053461 3.782884184 3.712462448 14.31146154 14.05205103 69.38392353 68.12626587 183 0.746056503 3.784028451 3.712829644 14.31568328 14.05343928 69.4043911 68.13299629 184 0.75005836 3.785178894 3.713198755 14.31992977 14.05483484 69.42497865 68.13976217 185 0.754059027 3.786335509 3.71356978 14.3242008 14.05623775 69.44568519 68.14656366 186 0.7580585 3.787498296 3.713942717 14.32849617 14.05764803 69.46650973 68.15340089 187 0.762056771 3.788667253 3.714317566 14.33281568 14.05906569 69.48745132 68.16027392 188 0.766053837 3.789842378 3.714694323 14.33715916 14.06049065 69.50850907 68.1671823 189 0.770049691 3.791023668 3.715072989 14.34152642 14.06192274 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