Phys 2310 Fri. Oct. 23, 2017 Today s Topics. Begin Chapter 6: More on Geometric Optics Reading for Next Time
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1 Py F. Oct., 7 Today Topc Beg Capte 6: Moe o Geometc Optc eadg fo Next Tme
2 Homewok t Week HW # Homewok t week due Mo., Oct. : Capte 4: #47, 57, 59, 6, 6, 6, 6, 67, 7
3 Supplemetal: Tck ee ad e Sytem Pcple Plae of a Tck e Defto & Geomety Fo tck le code magay plae fom wc ay dvege/covege to/fom fty Te Nodal pot N, N ae te pot wee tee plae co optcal ax Fot ad Back focal legt ae te dtace fom te vetce V, V of te le. Offax ay pag toug Nodal pot coepod to te Cef ay of a t le Fg. 6. V H ad V H
4 Supplemetal: Tck ee ad e Sytem Note tat te Nodal pot ca le outde te le f t togly bet. e Make Equato fo a Tck e f Devato mla to tat fo compoud t le but we ad text wll kp: é ù l dl ú û l ê ë Te locato of te pcple plae, : f l d f l d l l l ad 4
5 Supplemetal: Multple Tck ee Code te two tck lee ow at gt. Fo two tck lee ee text: f f f d f f H H fd f ad: ad H H fd f Note tee a eo te text fo te above equato. 5
6 6 Supplemetal: Optcal Abeato ee uffe fom abeato due to ue of pecal uface o ax lgt, boke ymmety offax lgt ad dpeo of gla deped o l. ecall ftode teoy we we aume q ~ q Td ode teoy eult we we aume q ~ q q /! Devato extemely tedou wt exteve algeba o we ad text wll kp t: Specal Abeato If we deve te fomula fo efacto at a gle pecal uface wt tdode teoy we get: ú ú û ù ê ê ë é o o o Wee te tem multpled by epeet a coecto to ou ftode appoxmato. Te lage te lage te coecto. Tu we ca top dow te le to educe S.A.
7 Supplemetal: Optcal Abeato Afte lot of algeba oe ca deve a equato fo te devato of a wavefot emegg fom a pecal uface elatve to a pefect pee ceteed o te mage, te Gaua efeece pee ee Bo & Wolf, Pcple of Optc I pola cood. te devato fom te Gaua efeecepee f : 4 f B Cy co q Dy 4 Te coepodg ay Abeato ae : Dx B q Fy q coq Dy q! ad, Dy B coq Fy co q C D y coq Ey! So fo ay adu, tcke, object dtace, ad ay egt you ca compute te coeffcet. Ey coq Fy coq!
8 Supplemetal: Optcal Abeato Sedel woked out ow te coeffcet ca be calculated fo eac uface: Sum. te Sedel Tee coeffcetca te be computed ad ae kow a ad uface: So fo eac addtoal teobject ad etace pupl. te ft ufacefom beg te dtace of ad wt ad uface ad tem allowg fo apecal a Wee : Coma, : Dtoto, Feld : Cuvatue of, Atgmatm :, Abeato : Specal 4 d t t d t t b b H F t t b H E t t b H D b H C b B þ ý ü î í ì þ ý ü î í ì þ ý ü î í ì þ ý ü î í ì þ ý ü î í ì å å å å å
9 Supplemetal: Optcal Abeato Cotollg Specal Abeato SA va ape of te le SA ca be cotolled omewat by bedg a le Focal legt ema almot te ame SA ca be caged Code te ape facto: q Note tat by cagg a le ape q we ca educe but ot elmate SA. Negatve lee ave egatve SA o combato of potve ad egatve lee ae ued to educe SA. 9
10 Supplemetal: Optcal Abeato Coma eult we mage ae fomed fom offax ay ay efacted toug dffeet aul mag of te le Ca be tougt of a a cage magfcato wt ay dtace fom te le cete. Tdode devato complex but effect foud to deped o, offax agle, ad te le ape q. Alo deped o te object dtace lke SA.
11 Supplemetal: Optcal Abeato Bot Specal Abeato ad Coma deped o te object dtace a well. T expeed tem of te poto facto. p o o Mmzg Specal Abeato ad Coma va le ape. We ca mmze SA ad Coma of a le fo a gve object dtace. Fo fty ee fgue at gt. Te geeal oluto ca be foud ome text but complex.
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