Appendix BJones and Mueller Matrices

Appendix B Jones and Mueller Matrices Jones matrix for free space ! ðB:1Þ Jones matrix for an isotropic absorbing material whose transmittance is p2 ! p ðB:2Þ p ! 0 Jones matrix for linear polarizer at 908 0 Jones matrix for linear polarizer at 458 1 1 Jones matrix for linear polarizer at 08 ðB:3Þ ! ðB:4Þ ! Jones matrix for a right circular polarizer 1 i Ài Jones matrix for a left circular polarizer 1 i Jones matrix for a linear retarder at angle  " Copyright © 2003 by Marcel Dekker, Inc All Rights Reserved Ài ðB:5Þ ! ðB:6Þ ! cos2  cos  sin  cos  sin  sin2  ðB:7Þ # ðB:8Þ Jones matrix for linear retarder with fast axis at angle  and retardation  " # ei cos2  þ sin2  ðei À 1Þ sin  cos  ðB:9Þ ðei À 1Þ sin  cos  ei sin2  þ cos2  Jones matrix for quarter wave linear retarder with fast axis at 08 " # ei=4 eÀi=4 Jones matrix for half-wave retarder with fast axis at 458 60 40 Mueller matrix for free space 0 ðB:10Þ ! ðB:11Þ 07 05 0 ðB:12Þ Mueller matrix for an isotropic absorbing material whose transmittance is k k 0 60 k 07 ðB:13Þ 40 k 05 0 k Mueller matrix for a linear polarizer at angle  cos 2 sin 2 2 cos 2 sin 2 cos 2 cos 16 sin 2 cos 2 sin 2 sin2 2 0 Mueller matrix for a horizontal linear polarizer 16 61 240 Mueller matrix for a vertical linear polarizer 16 À1 24 0 07 7 05 ðB:14Þ 1 0 0 0 À1 0 07 05 0 0 ðB:15Þ 07 05 ðB:16Þ Copyright © 2003 by Marcel Dekker, Inc All Rights Reserved 2 16 60 241 Mueller matrix for a linear polarizer at 458 0 0 16 60 240 Mueller matrix for a right circular polarizer Mueller matrix for a left circular polarizer 16 24 À1 1 07 05 ðB:17Þ 0 0 0 0 07 05 ðB:18Þ 0 0 0 0 À1 7 ðB:19Þ Mueller matrix for a linear retarder with fast axis at angle  and retardation  0 cos2 2 þ sin2 2 cos  ð1 À cos Þ sin 2 cos 2 À sin 2 sin  7 ðB:20Þ ð1 À cos Þ sin 2 cos 2 sin2 2 þ cos2 2 cos  cos 2 sin  sin 2 sin  À cos 2 sin  cos  60 40 Linear quarter wave retarder with fast axis at 08 Linear half-wave retarder with fast axis at 458 Copyright © 2003 by Marcel Dekker, Inc All Rights Reserved 60 40 0 0 À1 0 07 15 ðB:21Þ 0 0 7 À1 ðB:22Þ 0 À1