PHYC 3540 Summary. n nl

Size: px

Start display at page:

Download "PHYC 3540 Summary. n nl"

Alaina Bradley
5 years ago
Views:

1 HYC 354 Summar. rpagati light a. Hitr wave v. particle picture b. Fermat riciple actual path i that r which the L i a etremum c. Huge priciple ever pit wavert act a a urce i. Large aperture >>λ rectiliear prpagati Gemetric ptic ii. Small aperture λ preaig wavert Diracti. Wavert a Law relecti a reracti Sel law. Gemetric ptic a. magig Carteia urace araial ra apprimati b. eracti at a Spherical iterace wer c. Thi le L L Magiicati M h h r all imagig F F 9// age 8

2 . ricipal lae HH i. Ue t repreet a ptical elemet r tem a are lcate uch that the tem image a bject accrig t: ii. The pricipal plae ue t repreet a pherical iterace r thi le mut cicie at the iterace r cetre the thi le. H H e. Cmbiati tw tem H H H H H H i. wer cmbie tem where a 9// age 8

3 9// age 3 8 ii. The lcati H H are etermie with repect t H a H a llw: H H h H H h. Matri meth i paraial ptic i. Matrice Tralati matri L eracti matri electi matri Thi le matri ii. Carial pit lcati C A h C D h g. Stp i ptical tem i. Aperture tp Elemet that limit the bule ra a hece light gatherig pwer r pee cllecte b ptical tem that elemet whe etrace pupil ubte the mallet agle at the bject pit i queti Eit pupil i the image the aperture tp i all elemet llwig it Etrace pupil i the image the aperture tp i all elemet preceig it

4 . ii. Fiel tp Elemet the ptical tem that limit the iel view That elemet whe etrace wiw ubte the mallet agle at the cetre the etrace pupil Eit wiw i the image the iel tp i all elemet llwig it. Etrace wiw i the image the iel tp i all elemet preceig it iii. Chie ra margial ra eiiti ege iel view iv. Agular iel view mage pace agle rme b the etrace wiw a viewe rm the cetre the etrace pupil bject pace agle rme b the eit wiw a viewe rm the cetre the eit pupil h. Applicati i. Camera aperture ettig # epure telepht le ii. Huma ee mpia hperpia iii. Ha magiier eepiece cmpu micrcpe iv. Telecpe bicular hical ptic wave prpertie are imprtat a. Wave equati plae wave pherical wave clirical wave b. Amplitue relecti a tramii c-eiciet v v v ρ ; τ v v v v c. Electrmagetic wave E B; E B i phae pee c/ i. rraiace ii. Tramittace E ε ve ; iii. electace. tererece i. Tw urce itererece rraiace Amplitue T 4 τ τ τ ρ ρ c φ φ where φ φ δ k r r ε ε 9// age 4 8

5 ε ε a there are maima lcate at i θ ±m λ a Eample Duble lit Ll mirrr rai twer Dielectric laer e.g. Haiiger ba rige equal thicke berve i il ilm air wege Atirelecti catig Newt rig ii. Multiple beam itererece cate ielectric laer Tramitte irraiace T T 4 δ i δ where k cθ a θ pertai t the ielectric laer. rraiace maima ccur whe cθ ± mλ Fabr-ert terermeter Fiee eparati betwee rige rige with FWHM Free pectral rage π λ FS Frige with λ ; v~ FS ree pectral rage λ iee Spectral eluti λ λ v ~ mi λ v~ v~ λ 9// age 5 8

6 e. Diracti i. Freel Kirch iracti rmula Mathematical tatemet Huge priciple E ik r ike e π aperture rr where r F θ A F r r θ [ c ˆ r c ˆ r ] bliquit actr r r ii. Frauher limit plae wave iracti itegral reuce t E C Sigle lit with b i β where β β whe i θ ±m λ b e ikr A aperture kbiθ Circular aperture iameter a J γ where γ ka iθ γ.λ whe i θ Air ic; Spatial reluti ptical evice; cuig limit N lit with b eparati a i β i Nα where α kaiθ β α ricipal maima whe i θ ±p λ a a 9// age 6 8

7 Diracti gratig Gratig iperi Spectral reluti. lariati i. Je vectr r plariati E Geeral iδ Ee Vertical Hrital mn m cα Liearl plarie at a agle ±α iα Let Circularl plarie i.e. cuterclckwie i ight Circularl plarie i i.e. clckwie Let Ellipticall plarie A A B C B ic ight Ellipticall plarie A A B C B ic C where E A E B C δ ta B a the agle icliati α the ellipe i give b E E ta α E E ii. Je matrice r ptical elemet Liear plarier Tramii ai at a agle θ wrt - ai c θ iθ cθ iθ cθ i θ hae retarer iε e geeral iε where ε a ε repreet e the avace i phae the cmpet Quarter wave plate ε - ε π/ e i π 4 Slw ai vertical i e i π 4 Slw ai hrital i 9// age 7 8

8 9// age 8 8 Hal wave plate ε - ε π i π e Slw ai vertical i π e Slw ai hrital tatr light plarie at a agle θ i rtate b a agle β β β β β c i i c g. Hlgraph i. Hlgram where reerece wave bject wave - iteit ii. ectructe wave B B B t t b p where t tramii irt term irect wave ec term cjugate wave thir term bject wave r where e e re e r ikr i ik i φ ψ

Phys 2310 Wed. Oct. 4, 2017 Today s Topics

Phys 2310 Wed. Oct. 4, 2017 Today s Topics Phy 30 Wed. Oct. 4, 07 Tday Tpic Ctiue Chapter 33: Gemetric Optic Readig r Next Time By Mday: Readig thi Week Fiih Ch. 33 Lee, Mirrr ad Prim Hmewrk Due Oct., 07 Y&F Ch. 3: #3., 3.5 Ch. 33: #33.3, 33.7,