§6.3-球差-§6.4-正弦差和彗差-§6.5-场曲和像散-§6.6-畸变-§6.7-色差

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EngineeringOpticssongqing512@126.comEngineeringOptics6.16.26.36.46.56.66.76.86.9EngineeringOpticsEngineeringOpticsh(u)h(u)EngineeringOpticshuEngineeringOpticsEngineeringOpticshuhuhuh-h(u-u)yEngineeringOptics+++=+++=634221634221UaUaUaLhAhAhAL''δδEngineeringOptics∑−=kkkkSUunL121_'sin'''δkEngineeringOptics∑−=kkkSunL1I221'')('δ)')('(uiiiluniS−−=IEngineeringOpticsL’l’L’l’EngineeringOptics+++=+++=634221634221UaUaUaLhAhAhAL''δδ04221=+=mmmhAhAL'δ221mhAA−=⇒47070042/(max)'.'mmmmhALhhLhh−====δδEngineeringOpticsEngineeringOpticsLL’sinI-sinI’=0,I=I’=0,L=L’=r,=n/n’,sinI’-sinU=0,I’=U,2)'/('/)'('/)'(nnnrnnLnrnnL=+=+=βEngineeringOpticsnnnnnnLnnLnrnLnLnLdrdLLnnnrLL====+=+===−=−=====21223222322222322211221111111βββββ)/()/()/(/'//'EngineeringOptics2212232232222322212111110nnnnnndnnLnrndnLnLddLLLL====+−=+=−==−=−====βββββ)/()/()/(/''EngineeringOpticsEngineeringOptics'sin/''sin''sinUhfUynUny==EngineeringOptics“”EngineeringOpticsEngineeringOptics''''sin'''''sinsin'zzlLLUfhlLLUUnn−=−−=−⋅⋅δδβ1111EngineeringOptics1111−−−=−−−⋅⋅=''''sin''''''sinsin''zzlLLUfhOSClLLUUnnOSCδδβ0='OSC0='OSC0≠'Lδ0='LδEngineeringOptics+++=634221hAhAhAC'yhuEngineeringOptics11−−−⋅⋅=''''sinsin''zlLLUUnnOSCδβ“”(l,u)(l’,u’)2(L,U)(L’,U’)34“”lzlz’5'''lLL−=δEngineeringOptics∑−=kSJOSC1II21'iiSuiiiluniSzz/)')('(⋅=−−=IIIiz=0,li=i’=0,i’=u,nrnnL/)'(+=EngineeringOptics“”“”EngineeringOpticsEngineeringOptics——“”——“”EngineeringOptics''''zbaTyyyK−+=2'''zSSyyK−=EngineeringOpticsyuhuyEngineeringOptics+++=2334221hyAyhAyhAKS'EngineeringOptics04221=+=mmmSyhAyhAK'47070042/(max)'.'mSmmTmyhAKhhKhh−====EngineeringOptics∑−=kkkTSunK1II23'''iiSuiiiluniSzz/)')('(⋅=−−=III∑−=kkkSSunK1II21''''/''yKOSCS=EngineeringOpticsEngineeringOptics——EngineeringOptics'''llxtt−='''lLXTT−='''''tTtTTlLxXL−=−=δEngineeringOptics'''llxst−='''lLXSS−='''''sSsSSlLxXL−=−=δEngineeringOpticsu(h)y+++=634221yAyAyAxst')(()EngineeringOpticsymm04221=+=mmmstyAyAx')(47070042/(max)'.')()(mstmmstmyAxyyxyy−====EngineeringOptics()∑+−=kkktSSunx1IVIII2321'''2I2III)/()/)(')('(iiSiiuiiiluniSzz⋅=−−=()∑+−=kkksSSunx1IVIII221'''rnnnnJS'/)'(−=2IVEngineeringOptics'''sttsxxx−='''STTSXXX−=EngineeringOpticsT’——S’——EngineeringOptics()∑+−=kkktSSunx1IVIII2321'''()∑+−=kkksSSunx1IVIII221'''∑−=kkktsSunx1III21'''2I2III)/()/)(')('(iiSiiuiiiluniSzz⋅=−−=rnnnnJS'/)'(−=2IVEngineeringOpticsiz=0,li=i’=0,i’=u,nrnnL/)'(+=——“”∑∑−−=−=kkkkkkprnnnnJunSunx1221IV22121'''''''(SIII=0)EngineeringOpticsSIIISIIISIIISIVSIVSIIISIVEngineeringOpticsEngineeringOpticsEngineeringOpticsEngineeringOpticsyz’y’')''(')''('''zzzzzzulltgUlLyyy−−−=−=δEngineeringOpticsq2~4%%%'''''100100×−=×−==βββδyyyyyqzzEngineeringOptics123EngineeringOpticsyy+++=735231yAyAyAyz'δ()ymm05231=+=mmmzyAyAy'δ42186077500mzmmzmyAyyyyyy.(max)'.'−====δδEngineeringOptics∑−=kkkzSuny1V21'''δ)'()')('(/)(22IVIIIVzzzzzzzzzuuJuiiiniuliiSSS−+−−=⋅+=EngineeringOptics'sin''sinzzzzUynUny='tan''tanzzUynUny=EngineeringOpticsEngineeringOpticsEngineeringOpticsEngineeringOpticsTcvcn/λ==[]))(()()()('''12210122121111rrnrrdnrrnnrnrffffd−−≈−+−−=∆−=−=≈⎟⎟⎠⎞⎜⎜⎝⎛−−=211111rrnf)('()211ρρ−−=Φ)(n,n,f’,n,f’EngineeringOpticsCFFCLLL'''−=∆CFFClll'''−=∆EngineeringOpticsEngineeringOpticsEngineeringOpticszCzCCzFzFFCFFCtgUlLYtgUlLYYYY')''('')''(''''−=−=−=∆zCzCCzFzFFCFFCullyullyyyy')''('')''(''''⋅−=⋅−=−=∆

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