Errata for Problems and Answers in Wave Optics (PM216)

Transcription

1 Contents Errata for Problems and Answers n Wave Opts (PM6) Frst Prntng Seton 3 Seton 35 Seton Seton ttle should be Lnear polarzers and retarder plates Seton ttle should be Indued optal ansotropy Seton ttle should be Interferene of monohromat and mutually oherent lght Chapter Problem In the frst lne, F should not be n tals Problem 3 In fgure E should be n tals Problem In the seond lne, a laser beam s desrbed should be a laser beam n ar (n = ) s desrbed Chapter Problem The supersrpt ndes P and S should be lowerase Problem In the frst lne, parallel beam should be ollmated beam Problem 9 The supersrpt ndes P and S should be lowerase Problem The supersrpt ndes P and S should be lowerase Problem 6 The supersrpt ndes P and S should be lowerase Problem 7 The supersrpt ndes P and S should be lowerase Problem 9 In the frst lne, should be max Chapter 3 Seton 3 Seton ttle should be Lnear polarzers and retarder plates Problem 38 In the fourth lne, 5 deg should be deg Problem 33 In the frst lne, A beam of natural lght should be A beam of lnearly polarzed lght Seton 35 Seton ttle should be Indued optal ansotropy

2 Chapter Seton Seton ttle should be Interferene of monohromat and mutually oherent lght Problem 5 Pont P should not be n tals Problem 6 In the seond lne, at one pont should be at one pont P Problem 8 Pont P should not be n tals Problem 8 In the seond lne, 63 should be 63 m Problem 9 In the fourth lne, dstanes should be dstanes z Problem Pont P should not be n tals Problem 6 In the seond lne, 63 nm should be 63 nm Problem 7 In the fourth lne, photodode should be photodetetor Problem 8 In the fgure, L and L should be n tals Problem 3 Pont soure S should not be n tals Problem 35 In the thrd lne, nsert a omma between optal axs and z Problem 37 In the thrd lne, P mm Hg should be P mm Hg In the last lne, B MPa - should be B Pa - Problem Pont soure S should not be n tals Problem 5 In the frst lne, parallel should be ollmated Problem 9 In the frst and seond lnes, quas-parallel should be quas-ollmated Problem 5 In the ffth lne, quas-parallel should be quas-ollmated Problem 5 In the frst lne, quas-parallel should be quas-ollmated 3 In the fourth lne, rad/nm should be 3 rad/nm Problem 6 In the seond to last lne, a spae should be nserted between S and Problem 6 In the sxth lne, quas-parallel should be quas-ollmated Problem 63 In the last lne, 85 should be 93 с

3 Problem 6 The text should read as follows: Determne the longtudnal oherene length L of an optal feld from a spatally noherent lght soure n the bak foal plane F ' of a olletng lens L and n the plane of the real mage of the soure ( S ') The soure S s loated at dstane z 6 mm from the front foal plane F of the lens L and radates lght wth mean wavelength 55 μm and frequeny spetrum wdth μm The transverse sze of the soure s D mm, the dameter of the lens aperture s Da mm, and the foal length of the lens s f 8 mm Problem 67 Replae the fgure wth the followng: s Problem 7 Add the followng sentene after the seond sentene: Dspersng prsm P s nstalled n the output arm of the nterferometer, and the spetrum of lght I at the nterferometer output s observed In the fgure, the dspersng prsm should be labeled P Problem 7 In the last lne, I should be 5 I Problem 7 In the last sentene, f the perod of ntensty osllaton I z s 6 μm should be f the perod z of ntensty osllaton I z s z 3μm Problem 73 In the last lne, 6 should be 6 nm Problem 7 In the thrd lne, z 5mm should be z 5 m Problem 75 In the seond lne, z should be d Problem 78 In the seond to last sentene, z m should be z m Problem 8 In the thrd lne, h 6mm should be h 6m In the seventh lne, 6 5nm should be 6 5m Problem 83 In the seond to last sentene, from maxmum to mnmum should be from maxmum to the next maxmum Problem 8 Replae the fgure wth the followng:

4 Problem 85 The seond sentene should read as follows: Plot the transmsson oeffent T h of the nterferometer n the normal dreton (along the optal axs of the lens) versus the thkness h of the ar gap between the plates for the radaton wth two wave omponents of equal ntensty wth wavelengths 56nm and 56 nm n the range of the ar gap thkness values h μm and h μm Chapter 5 Problem 5 In the fourth lne, b 98 mm should be b 98 mm Problem 55 In the fourth lne, a 5 should be a 5 m Problem 57 In the frst lne, the rad nterval r m should be the rad r m Problem 58 In the seond lne, f 8 should be f 8 m Problem 57 In the last lne, s Ix, y I should be s Ix, y I and a z In the fgure, varable D should be a Problem 58 In the last lne, s Ix, y I should be s Ix, y I and d f Problem 59 In the frst lne, before ntegral, ( x should be x ( z z under ntegral, ( x x should be ( x x z z Problem 56 In the thrd lne, the dameter should be the dameter d Problem 53 In the frst lne, The maxmal pupl dameter should be The pupl dameter Problem 53 In the frst lne, the resoluton of should be the lnear resoluton Problem 538 In the fgure, should be x of

5 Problem 5 In the seond lne, m should be m Problem 55 In the frst lne, the resoluton of a gratng should be the resoluton R of a gratng Problem 55 In the seond lne, on a plane, refletng dffraton gratng should be on a refletng dffraton gratng Chapter 6 Problem 6 In the seond to last lne, 3 should be 3 Problem 66 In the ffth lne, and + should be + and The sxth lne, v 6 mm/s should be v 6 mm/s Problem 68 In the frst lne, A parallel beam should be A ollmated beam In the last two lnes, may be onsdered a soure of seondary dffrated lght beams should be may be onsdered as a seondary soure of dffrated lght beams Problem 6 In the fgure, V should be v Chapter 7 (Answers) Chapter 8 3 v 89 m/s 8 should be v 897 m/s x xsn should be x x = x os α/λ should be = x os(α)/λ fz = ω os γ/π should be fz = ω os(γ)/π should be 7 I( ) 5E should be I( ) ~ E 8 I( ) E should be I( ) ~ E 9 I( ) should be I () ~ ln / should be ln E 3 I ( ) should be I( ) ~ E 6 sn

6 33 E ox E oy should be E x E y 35 E E should be E E ox oy x y 37 I n v should be I 5 n v x 3 should be x 6 3 should be 39 Chapter 5 6 deg should be 5 6 deg; orthogonal to the ndene plane 6 59 deg should be 59 deg should be p and p, p are ampltude refleton and transmsson oeffents should be s and p, s are ampltude refleton and transmsson oeffents 3 R 75, T 95 should be R 7, T 96 7 should be 3 7 T 97 should be T 93 6 The answer should read as follows: tg p sn n n n nos, tg os n sn s n sn n os n tg n sn n, 7 s 6 rad should be 67 lowerase 9 max μm should be max rad, 5 8deg 3 The answer should read as follows: E E expz n sn n, deg Chapter 3 3 v should be v o rad, and supersrpt ndes P and S should be

7 3 u should be u o 8 8 ue 5 m/s should be ue 86 m/s deg should be 7 deg 37 d 7 mm should be d 8 mm I os os sn sn sn sn os n n d 8 mw/mm 38 I o e deg should be deg should be I ( t) I sn t, I ( t) I os t should be I ( t) I sn t, I ( t) I os t o e o e 33 I ( ) os sn os os o t I t t t t, I ( ) sn e t I t should be I ( ) os sn o t I t t, I ( ) 5sn e t I t Chapter 5 I 7 W/m should be I 9 W/m 8 d n sn should be d n sn r 3mm should be r mm V should be V 8 5 sn should be sn 6 6 μm, V 5 should be 69 μm, V nm should be 85 nm 5μm, N should be 3 μm, N 3 7 μm should be 6 6m l mm should be l 5 mm D mm should be D mm

8 5 I II should be I II The followng equatons should be added: Er,t E exp t r, E r,t E exp t r, I ~ E E I I EE os t r, f ; 6 f 5MHz should be f v 8 m/s should be v 55 3 should be 35 8 n both formulae should be should be 5 should be 5 3 mm should be 59 mm 5 l mm should be l mm 5 l mm should be l mm 56 x, у z z MHz z z m/s sn ax sn bx should be ax z bx z sn ax sn by x, у ax z by z 6 с 37 μm should be с 37 μm () 5μm, (d) 9 μm should be () с μm, (d) ñ ñ3 с 3 63 z 6 μm, L μm should be z 5 μm, L 7 6 μm 6 9 should be 7 μm L 3μm should be L 39μm L 37 μm should be L 8 μm 65 A spae should be added between E(t) and I 7 I should be 5I 7 d 3 6 mm should be D 3 6 mm 78 z z nd mm should be z z nd 33 mm μm

9 z 79 6 mm; z 9 3mm should be D D D f 6 mm; z 9 3mm D D D 8 deg should be arse 8 T 55 nm should be T nm should be 3 59nm 83 h 5 μm should be h 5 μm 8 R mm should be R 8 mm m Chapter 5 53 b 3 mm should be z 6 55mm m 5 b 7mm, b 3 mm should be b mm, b 8 3mm 58 r mm should be r 3 mm 5 m m should be R R m r r f m should be f m m 5 r 9 mm should be r 9 mm 55 x 67 mm, x 33mm, x mm should be x 67 mm, x 33mm, x3 mm 56 a 9 should be a Add the followng: x mm 59 exp should be exp z z 53 d z 5 6mm should be d z 5 5mm 56 d 7 8mm should be d 7 7 mm 58 d 5 8mm should be d mm 59 R 6 lnes/mm should be R lnes/mm

10 53 x 3 μm, 6 armn, x 5mm should be x 6 μm, 9 armn, x mm d d 535 In the denomnator, sn should be sn sn 536 x mm should be x 7 5 m 7 should be m 9 mm 5 arsn sn 3deg should be should be R mn 555 deg should be deg 557 Add a omma after deg Chapter should be 6 66 ( ) 8 μm, ( ) 8 μm, 8 arsn sn 3deg ( ) μm should be 8 ( ) μm 6 L L should be 8 63 N N T should be T n L d dt L d dt 6 6 rad should be 56 rad 65 f 5 Hz should be f 5 Hz