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{SECT 0 {EXCHG {PARA 209 "" 0 "" {TEXT -1 77 "Berechnung des Cotton-Mo
uton-Effektes anhand der Jones-Vektoren und -Matrizen" }}}{EXCHG 
{PARA 210 "" 0 "" {TEXT -1 12 "Definitionen" }}}{EXCHG {PARA 211 "> " 
0 "" {MPLTEXT 1 -1 20 "with(LinearAlgebra):" }}}{EXCHG {PARA 212 "" 0 
"" {TEXT -1 24 "Horizontale Polarisation" }}{PARA 211 "> " 0 "" 
{MPLTEXT 1 -1 21 "A_H := Vector([1,0]);" }}{PARA 213 "" 1 "" {XPPMATH 
20 "6#>%$A_HG-%'RTABLEG6%\")c\"=6%-%'MATRIXG6#7$7#\"\"\"7#\"\"!&%'Vect
orG6#%'columnG" }}}{EXCHG {PARA 212 "" 0 "" {TEXT -1 22 "Vertikale Pol
arisation" }}{PARA 211 "> " 0 "" {MPLTEXT 1 -1 21 "A_V := Vector([0,1]
);" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%$A_VG-%'RTABLEG6%\"\"!-%'MATR
IXG6#7$7#F(7#\"\"\"&%'VectorG6#%'columnG" }}}{EXCHG {PARA 212 "" 0 "" 
{TEXT -1 19 "Polarisation 45 deg" }}{PARA 211 "> " 0 "" {MPLTEXT 1 -1 
38 "A_45 := Vector([cos(Pi/4),sin(Pi/4)]);" }}{PARA 213 "" 1 "" 
{XPPMATH 20 "6#>%%A_45G-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7#,$*&\"\"#!\"\"
F0#\"\"\"F0F3F-&%'VectorG6#%'columnG" }}}{EXCHG {PARA 212 "" 0 "" 
{TEXT -1 20 "R-zirkularer Zustand" }}{PARA 211 "> " 0 "" {MPLTEXT 1 
-1 34 "A_R := (1/sqrt(2))*Vector([1,-I]);" }}{PARA 213 "" 1 "" 
{XPPMATH 20 "6#>%$A_RG-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7#,$*&\"\"#!\"\"F
0#\"\"\"F0F37#*&^##F1F0F3F0F2&%'VectorG6#%'columnG" }}}{EXCHG {PARA 
212 "" 0 "" {TEXT -1 20 "R-zirkularer Zustand" }}{PARA 211 "> " 0 "" 
{MPLTEXT 1 -1 33 "A_L := (1/sqrt(2))*Vector([1,I]);" }}{PARA 212 "" 0 
"" {TEXT -1 0 "" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%$A_LG-%'RTABLEG6
%\"\"!-%'MATRIXG6#7$7#,$*&\"\"#!\"\"F0#\"\"\"F0F37#*&^#F2F3F0F2&%'Vect
orG6#%'columnG" }}}{EXCHG {PARA 212 "" 0 "" {TEXT -1 37 "Drehung der P
olarisationsebene um phi" }}{PARA 214 "> " 0 "" {MPLTEXT 1 -1 64 "Rv :
= phi -> Matrix([[cos(phi),-sin(phi)],[sin(phi),cos(phi)]]);" }}{PARA 
213 "" 1 "" {XPPMATH 20 "6#>%#RvGf*6#%$phiG6\"6$%)operatorG%&arrowGF(-
%'MatrixG6#7$7$-%$cosG6#9$,$-%$sinGF3!\"\"7$F6F1F(F(F(" }}}{EXCHG 
{PARA 212 "" 0 "" {TEXT -1 27 "Drehung um den Winkel Alpha" }}{PARA 
211 "> " 0 "" {MPLTEXT 1 -1 85 "R := (T,alpha) -> MatrixMatrixMultiply
(Rv(alpha),MatrixMatrixMultiply(T,Rv(-alpha)));" }}{PARA 213 "" 1 "" 
{XPPMATH 20 "6#>%\"RGf*6$%\"TG%&alphaG6\"6$%)operatorG%&arrowGF)-_%.Li
nearAlgebraG%5MatrixMatrixMultiplyG6$-%#RvG6#9%-F.6$9$-F36#,$F5!\"\"F)
F)F)" }}}{EXCHG {PARA 212 "" 0 "" {TEXT -1 31 "Horizontaler  Linearpol
arisator" }}{PARA 211 "> " 0 "" {MPLTEXT 1 -1 29 "P_H := Matrix([[1,0]
,[0,0]]);" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%$P_HG-%'RTABLEG6%\"\"!
-%'MATRIXG6#7$7$\"\"\"F(7$F(F(%'MatrixG" }}}{EXCHG {PARA 212 "" 0 "" 
{TEXT -1 29 "Vertikaler  Linearpolarisator" }}{PARA 211 "> " 0 "" 
{MPLTEXT 1 -1 29 "P_V := Matrix([[0,0],[0,1]]);" }}{PARA 212 "" 0 "" 
{TEXT -1 0 "" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%$P_VG-%'RTABLEG6%\"
\"!-%'MATRIXG6#7$7$F(F(7$F(\"\"\"%'MatrixG" }}}{EXCHG {PARA 212 "" 0 "
" {TEXT -1 45 "Lambda/4- Pl\344ttchen schnelle Achse horizontal" }}
{PARA 211 "> " 0 "" {MPLTEXT 1 -1 54 "P_L4H := simplify(exp(I*Pi/4)*Ma
trix([[1,0],[0,-I]]));" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%&P_L4HG-%
'RTABLEG6%\"\"!-%'MATRIXG6#7$7$,&*&\"\"#!\"\"F0#\"\"\"F0F3*&^#F2F3F0F2
F3F(7$F(*&^$F2#F1F0F3F0F2%'MatrixG" }}}{EXCHG {PARA 212 "" 0 "" {TEXT 
-1 61 "Lambda/4- Pl\344ttchen schnelle Achse Winkel alpha zu horizonta
l" }}{PARA 211 "> " 0 "" {MPLTEXT 1 -1 47 "P_L4a := alpha -> R(P_L4H,a
lpha);\nP_L4a(alpha);" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%&P_L4aGf*6
#%&alphaG6\"6$%)operatorG%&arrowGF(-%\"RG6$%&P_L4HG9$F(F(F(" }}{PARA 
213 "" 1 "" {XPPMATH 20 "6#-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$,&*&,&*&\"
\"#!\"\"F0#\"\"\"F0F3*&^#F2F3F0F2F3F3)-%$cosG6#%'alpha|irGF0F3F3*(^$F2
#F1F0F3)-%$sinGF9F0F3F0F2F3,&*(F7F3F.F3F?F3F3**^$F=F2F3F?F3F0F2F7F3F37
$FA,&*&F.F3F>F3F3*(F<F3F0F2F6F3F3%'MatrixG" }}}{EXCHG {PARA 215 "" 0 "
" {TEXT -1 27 "Lambda/4-Pl\344ttchen vertikal" }}{PARA 214 "> " 0 "" 
{MPLTEXT 1 -1 67 "P_L4V := simplify(exp(I*Pi/4)*Matrix([[-I,0],[0,1]])
);\nP_L4a(Pi/2);" }}{PARA 215 "" 0 "" {TEXT -1 0 "" }}{PARA 213 "" 1 "
" {XPPMATH 20 "6#>%&P_L4VG-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$*&^$#\"\"\"
\"\"##!\"\"F2F1F2F0F(7$F(,&*&F2F4F2F0F1*&^#F0F1F2F0F1%'MatrixG" }}
{PARA 213 "" 1 "" {XPPMATH 20 "6#-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$*&^$
#\"\"\"\"\"##!\"\"F0F/F0F.F&7$F&,&*&F0F2F0F.F/*&^#F.F/F0F.F/%'MatrixG
" }}}{EXCHG {PARA 212 "" 0 "" {TEXT -1 85 "Objekt, das zwischen Horizo
ntalen und  Vertikalen eine Phasenverschiebung psi erzeugt" }}{PARA 
211 "> " 0 "" {MPLTEXT 1 -1 67 "PS := psi -> Matrix([[exp(I*psi/2),0],
[0,exp(-I*psi/2)]]);\nPS(phi);" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%#
PSGf*6#%$psiG6\"6$%)operatorG%&arrowGF(-%'MatrixG6#7$7$-%$expG6#*&^##
\"\"\"\"\"#F79$F7\"\"!7$F:-F26#*&^##!\"\"F8F7F9F7F(F(F(" }}{PARA 213 "
" 1 "" {XPPMATH 20 "6#-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$-%$expG6#*&^##
\"\"\"\"\"#F2%%phi|irGF2F&7$F&-F-6#*&^##!\"\"F3F2F4F2%'MatrixG" }}}
{EXCHG {PARA 215 "" 0 "" {TEXT -1 69 "Ein Verz\366gerungsobjekt um Pi/
2 sollte ein lambda/4-Pl\344ttchen erzeugen" }}{PARA 214 "> " 0 "" 
{MPLTEXT 1 -1 19 "simplify(PS(Pi/2));" }}{PARA 213 "" 1 "" {XPPMATH 
20 "6#-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$,&*&\"\"#!\"\"F.#\"\"\"F.F1*&^#
F0F1F.F0F1F&7$F&,&*&F.F/F.F0F1*&^##F/F.F1F.F0F1%'MatrixG" }}}{EXCHG 
{PARA 212 "" 0 "" {TEXT -1 45 "Lambda/2-Pl\344ttchen, schnelle Achse h
orizontal" }}{PARA 211 "> " 0 "" {MPLTEXT 1 -1 53 "P_L2H := simplify(M
atrixMatrixMultiply(P_L4H,P_L4H));" }}{PARA 213 "" 1 "" {XPPMATH 20 "6
#>%&P_L2HG-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$^#\"\"\"F(7$F(^#!\"\"%'Matr
ixG" }}}{EXCHG {PARA 215 "" 0 "" {TEXT -1 43 "Lambda/2-Pl\344ttchen, s
chnelle Achse vertikal" }}{PARA 214 "> " 0 "" {MPLTEXT 1 -1 53 "P_L2V \+
:= simplify(MatrixMatrixMultiply(P_L4V,P_L4V));" }}{PARA 213 "" 1 "" 
{XPPMATH 20 "6#>%&P_L2VG-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$^#!\"\"F(7$F(
^#\"\"\"%'MatrixG" }}}{EXCHG {PARA 215 "" 0 "" {TEXT -1 57 "Das lambda
/halbe-Pl\344ttchen kann auch erzeugt werden durch" }}{PARA 214 "> " 
0 "" {MPLTEXT 1 -1 7 "PS(Pi);" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#-%'R
TABLEG6%\"\"!-%'MATRIXG6#7$7$^#\"\"\"F&7$F&^#!\"\"%'MatrixG" }}}
{EXCHG {PARA 212 "" 0 "" {TEXT -1 61 "Lambda/2-Pl\344ttchen, schnelle \+
Achse Winkel alpha zu horizontal" }}{PARA 211 "> " 0 "" {MPLTEXT 1 -1 
33 "P_L2a := alpha -> R(P_L2H,alpha);" }}{PARA 213 "" 1 "" {XPPMATH 
20 "6#>%&P_L2aGf*6#%&alphaG6\"6$%)operatorG%&arrowGF(-%\"RG6$%&P_L2HG9
$F(F(F(" }}}{EXCHG {PARA 215 "" 0 "" {TEXT -1 71 "Ein Verz\366gerungso
bjekt mit allgemeiner Verz\366gerung phi und Winkel alpha" }}{PARA 
214 "> " 0 "" {MPLTEXT 1 -1 39 "PSa := (phi,alpha) -> R(PS(phi),alpha)
;" }}{PARA 215 "" 0 "" {TEXT -1 0 "" }}{PARA 215 "" 0 "" {TEXT -1 0 "
" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#>%$PSaGf*6$%$phiG%&alphaG6\"6$%)o
peratorG%&arrowGF)-%\"RG6$-%#PSG6#9$9%F)F)F)" }}}{EXCHG {PARA 215 "" 
0 "" {TEXT -1 71 "Verz\366gerungspl\344ttchen mit allgemeiner Verz\366
gerung phi und Winkel alpha " }}{PARA 214 "> " 0 "" {MPLTEXT 1 -1 18 "
(PSa(phi,alpha));\n" }}{PARA 213 "" 1 "" {XPPMATH 20 "6#-%'RTABLEG6%\"
\"!-%'MATRIXG6#7$7$,&*&)-%$cosG6#%&alphaG\"\"#\"\"\"-%$expG6#*&^##F4F3
F4%$phiGF4F4F4*&-F66#*&^##!\"\"F3F4F;F4F4)-%$sinGF1F3F4F4,&*(FDF4F5F4F
/F4F4*(F/F4FDF4F=F4FB7$FF,&*&FCF4F5F4F4*&F=F4F.F4F4%'MatrixG" }}}
{EXCHG {PARA 212 "" 0 "" {TEXT -1 19 "Polarisator -45 deg" }}{PARA 
211 "> " 0 "" {MPLTEXT 1 -1 22 "P_m45 := R(P_H,-Pi/4);" }}{PARA 213 "
" 1 "" {XPPMATH 20 "6#>%&P_m45G-%'RTABLEG6%\"\"!-%'MATRIXG6#7$7$#\"\"
\"\"\"##!\"\"F07$F1F.%'MatrixG" }}}{EXCHG {PARA 212 "" 0 "" {TEXT -1 
0 "" }}{PARA 212 "" 0 "" {TEXT -1 8 "Versuch:" }}{PARA 212 "" 0 "" 
{TEXT -1 29 "- Lineare Polarisation 45 deg" }}{PARA 212 "" 0 "" {TEXT 
-1 48 "- Modulation mit delta = ddelta*cos(omega t) A_1" }}{PARA 212 "
" 0 "" {TEXT -1 22 "- Drehung um alpha A_2" }}{PARA 212 "" 0 "" {TEXT 
-1 42 "- Lambda/4-Pl\344ttchen Winkel beta=45deg A_3" }}{PARA 212 "" 
0 "" {TEXT -1 47 "- Messstrecke: Winkel 0, Phasenverschiebung A_4" }}
{PARA 212 "" 0 "" {TEXT -1 23 "- Analysator:-45deg A_5" }}{PARA 212 "
" 0 "" {TEXT -1 16 "- Detektor A*A^*" }{MPLTEXT 1 -1 0 "" }}{PARA 213 
"" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 217 "> " 0 "" {MPLTEXT 1 0 0 "" 
}}}{PARA 215 "" 0 "" {TEXT -1 0 "" }}}{MARK "26 0" 0 }{VIEWOPTS 1 1 0 
1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }{RTABLE_HANDLES 41118156 
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M7R0
I5RTABLE_SAVE/41118156X*%)anythingG6"6"[gl!#%!!!"#"#"""""!6"
}