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Review for Optics Exam 2 Info Take in the Testing Center, 3/13 (Thurs) through 3/18 (Tues) Like last time: o 3 hour time limit, 1% penalty per minute if over o Late fee if you start it last day after 6 pm o Closed book, closed notes o I will give you the most difficult equations; the simpler equations you need to memorize o It’s worth 16% of your final course grade I will be out of town from 3/10 afternoon until 3/14 evening. I should be emailable, though. What to study Sample exam problems from pages 203-207 in P&W Like last time: o HW problems o Class notes o Reading quizzes o Textbook o Old exams from students who took this class from other profs in the past o Problems from the book that were not assigned o Problems from other Optics books, such as Hecht 1 Important equations Will be given if needed Need to have memorized (unless e.g. part of a quiz (not necessarily comprehensive) problem or a derivation problem) Stuff from last exam, such as Fresnel equations Integral table integrals Stuff from last exam: constants and eqns such as 1 n I 2 E0 2 0c c vp k n Chapter 5 Definition of for crystals as a diagonal tensor for uniaxial crystals nx, ny, and nz for uniaxial crystals Fresnel crystal equation Uniaxial Crystals For optic axis // to surface: n = no, ne 2 For optic axis to surface: no ne n = n o, no sin 2 2 ne cos2 2 2 2 (but you need to know which n = which polar) s-polar Snell’s Law p-polar Snell’s Law p-polar Poynting vector Optical path length Phase factor from path length difference Chapter 6 Two interfaces: t12 t 23 t13 e ik 2 d cos 2 r21 r23 e ik 2 d cos 2 n cos 3 T13 3 2 t13 n1 cos 1 “Fabry-Perot Equation” Definition of Tmax Definition of F Definition of FWHM FWHM FSR 3 Resolving power Definition of f R+T+A=1 Multilayer method: j = kjljcosj p-polar eqns for Mj and A s-polar eqns for Mj and A t13 = 1/a11 r = a21/a11 Chapter 7 1 n I slow (t ) 2 E (t ) 2 0c d vg k dk Defn of Fourier Transform Defn of Inverse FT Gaussian wavepacket FT of Gaussian wavepacket Parseval’s Theorem Delta function definitions Sifting property 1 2 (t t 0 ) e i (t t0 ) d Defn of convolution 4 Convolution Theorems, without factors of sqrt(2) Dispersion Linear: 1 d vg Re(k ) d 0 d t Re(k ) r d 0 2 kimag (0 )r 2 I e E (t t , r0 ) Quadratic: k k0 1 0 0 2 vg n n 1 1 vg c 0 1 n 2n 2c 0 (Gaussian, thickness z) 2z T 1 2 2 2 i z 1 z E0ei kz0t i t tan 1 2 t E t , z 2 2 T 2 vg 2T v g e e 1 2 1/ 4 5 Chapter 8 Michelson: Single I det ( ) 2 I 0 (1 cos ) Band of ’s: 0 I ( )d 1 ( ) 0 I ( )e i d I det ( )dt 2 0 1 Re ( ) I det ( ) 2 I onebeam 1 Re ( ) Coherence time, tc FT NormSig 2 0 I I 2 Defn of visibility V = || Coherence length, lc Young: Point source: kyh I det (h) 2 I 0 1 cos D 6 Extended source: 0 I ( y )dy ikyh ikhy D e ( h) 0 I ( y)e R dy I det (h) 2 I oneslit 1 Re (h) Coherence slit separation, hc 7

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posted: | 3/9/2010 |

language: | English |

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