# Lect24 - ! " # \$ % ! % &' " " " ( *...

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Unformatted text preview: ! " # \$ % ! % &' " " " ( * & +% % % ! &' " " Eo " ( " & 2 , ' 3 A) Eosin B) Eocos C) 0 , , , 1 /0 '. ' /0 - . , ! ( , '. '. s co Eo y z Eo D) Eo/sin E) Eo/cos 2 , 4 5 3 y ) 6 An unpolarized EM wave is incident on two orthogonal polarizers. + % What percentage of the intensity gets through both polarizers? A. 50% B. 25% C. 0% % , , ( , 480 5 / 0 7 An unpolarized EM wave is incident on two orthogonal polarizers. + " % Is it possible to increase this percentage by inserting another Polarizer between the original two? A. Yes B. No & . , , &% %: &% &; < ! , 9 % " !' ! = , x y Example: 90 x y 45 4 At t=0 2 Ex E0 2 E0 cos(kz t) Ey 2 sin(kz t) >+ 8 * : " & # , !' , !3 # ' % Right hand rule , 80 ( , , , " 1 0 BC " # " , 3D = ; ? %! ; @ , *2 #! ? >! * 2 , A ^ j 2 E Eo sin( kz t) ^ i I c o E2 2 c o Ex 2 Eo c o 2 E2 y 2 Eo 2 sin 2 (kz 2 Ey t) 2 c o Eo & % !> * 2 Eo ^ E i cos(kz 2 1 2 t) ^ sin( kz j t) I c o E2 2 c o Ex 2 Eo c o cos 2 (kz 2 2 Eo c o 1 2 2 Eo c o 2 t ) sin 2 (kz t) %: ! &= ! A A > , 333 > , C , + @ " , >+ , , + * 2 , , , , 5 ' '4 3 &5 @ / 0 # 5 @ / E @0 + 5 @ / @0 I c E2 0 c E x2 Xy E2 0 E02 c cos 2 (kz 0 2 t) : 1 1 cE02 0 2 2 " \$ 12 Identical linearly polarized light at 45o from the y-axis and propagating along the z axis is incident on two different objects. In Case A the light intercepts a linear polarizer with polarization along the y-axis In Case B, the light intercepts a quarter wave plate with vast axis along the y-axis. A B + Compare the intensities of the light waves after transmission. B. IA = IB C. IA > IB A. IA < IB + !' " & " 4!' ! 5 + # , IA I 0 cos2 (45o ) IA 1 I 2 0 IB I0 @ I c Ex2 0 2 Ey :& ! *2 +: &; <! # !' ! ) I c Ex2 0 2 Ey &# ># ? +? = ?; !; % !' , 6 Identical linearly polarized light at 45o from the y-axis and propagating along the z axis is incident on two different objects. In Case A the light intercepts a linear polarizer with polarization along the y-axis In Case B, the light intercepts a quarter wave plate with vast axis along the y-axis. A A + B B + " " What is the polarization of the light wave in Case B after it passes through the quarter wave plate?. A. linearly polarized B. left circularly polarized C. right circularly polarized D. undefined >+ G F 7 Identical linearly polarized light at 45o from the y-axis and propagating along the z axis is incident on two different objects. In Case A the light intercepts a linear polarizer with polarization along the y-axis In Case B, the light intercepts a quarter wave plate with vast axis along the y-axis. A A + B B + If the thickness of the quarter-wave plate in Case B is doubled, what is the polarization of the wave after passing through the wave plate? A. linearly polarized B. circularly polarized C. undefined E F F 9 !' H *2 Polarized Light Circularly or Un-polarized Light # , Ex E0 cos(kx) 2 Ey E0 sin(kx) 2 8 + , 1 4* 2 5 ( ) ' 60 @ @ @\$ I I I* I IC I= " , ( " 2 " ! ! %& . 0 + , 1 4* 2 5 ( ) ' ! >+ !' ! 60 @ @ G @\$ I 4& 5 , + 4# 5 > + *2 ) 4+ 5 ' + % ' 4C 5 , , " , >+ ( ' 4!5 " *2 >+ + > , >+ 3 ! : > + , 1 4* 2 5 ( ) ' ! >+ !' ! 60 @ @ G @\$ I 4& 5 @ / @ #! ? >! Ex Ey E1 sin(kz 2 E1 sin(kz 2 t) t) 4# 5 @ / E @ " J , A 2 x 4+ 5 @ / K @ & % !> Ex E1 cos(kz 2 E1 sin(kz 2 t) t) ; I E 0c " E H 2 y A Ey + , 1 4* 2 5 ( ) ' ! >+ !' ! 60 @ !\$ G @ /@ @\$ I !" 4& 5 + &" ! 60 4# 5 > + 4+ 5 60 ' 4C 5 ! 60 ' 4!5 % & 4 / 60 5 E1 sin( kz E3 2 !\$ \$ E3 Ex sin E y cos t ) sin sin(kz t ) cos t ) E3 !' E1 cos(kz 2 \$ + , 1 4* 2 5 ( ) ' ! >+ !' ! 60 @ !\$ G @ /@ @\$ @\$ / E @ I !" 4& 5 @\$ / @ E3 !\$ 60 \$ 4# 5 @\$ / E @ E1 2 4+ 5 @\$ / K @ I3 1 I1 2 ! I ; ? %! % E2 A A !' L > 60 ) *2 ( ' ! >+ !' ! !\$ ! !' @ G @ /@ @\$ I 4& 5 + ! 4# 5 > + 4+ 5 ' 4C 5 ' 4!5 ! G ! # , !' ! " A A ) L > 60 ) *2 ( ' ! >+ !' ! !\$ ! !' @ G @ /@ @\$ / @ I 4& 5 @ #! ? >! Ex Ey E1 cos(kz 2 E1 sin(kz 2 t) t) I before E12 2 4# 5 E @ ; " @ J / M! N I after 4+ 5 K @ , A Ex E12 2 Ey & % !> E1 cos(kz 2 E1 cos(kz 2 t) t) 6 L + , ! 60 \$ ( @ / G9 @0 ' @0 ! @ @ / E @0 @ / G9 @0 I # 4& 5 4# 5 ) \$ %& , . ' 60 460 5 / K @ , , , , ' @ . ' + ' I& I & I@ I @ / G9 @0 @ /@ @ / E @0 2 ! 4+ 5 4C 5 4!5 " " * & E 3 ) 7 ...
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## This document was uploaded on 03/08/2012.

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