Appendix BJones and Mueller Matrices ðB:1Þ Jones matrix for an isotropic absorbing material whose transmittance is p2 ðB:2Þ ðB:3Þ ðB:4Þ 2 ðB:5Þ 2 ðB:6Þ 2 ðB:7Þ Jones matrix for a linear
Trang 1Appendix B
Jones and Mueller Matrices
ðB:1Þ
Jones matrix for an isotropic absorbing material whose transmittance is p2
ðB:2Þ
ðB:3Þ
ðB:4Þ
2
ðB:5Þ
2
ðB:6Þ
2
ðB:7Þ
Jones matrix for a linear retarder at angle
cos2 cos sin cos sin sin2
ðB:8Þ
Trang 2Jones matrix for linear retarder with fast axis at angle and retardation
eicos2 þsin2 ðei1Þ sin cos
ðei1Þ sin cos eisin2 þcos2
ðB:9Þ
Jones matrix for quarter wave linear retarder with fast axis at 08
0 ei=4
ðB:10Þ
Jones matrix for half-wave retarder with fast axis at 458 0 1
ðB:11Þ
Mueller matrix for free space
2 6 4
3 7
Mueller matrix for an isotropic absorbing material whose transmittance is k
2 6 6
3 7
Mueller matrix for a linear polarizer at angle
1 2
2 6 6
3 7
Mueller matrix for a horizontal linear polarizer 1
2
2 6 4
3 7
Mueller matrix for a vertical linear polarizer 1
2
2 6 4
3 7 5 ðB:16Þ
Trang 3Mueller matrix for a linear polarizer at 458 1
2
2 6 4
3 7
Mueller matrix for a right circular polarizer 1
2
2 6 4
3 7
Mueller matrix for a left circular polarizer 1
2
2 6 4
3 7
Mueller matrix for a linear retarder with fast axis at angle and retardation
0 cos22 þ sin22 cos ð1 cos Þ sin 2 cos 2 sin 2 sin
0 ð1 cos Þ sin 2 cos 2 sin22 þ cos22 cos cos 2 sin
2
6
6
3 7
Linear quarter wave retarder with fast axis at 08
2 6 4
3 7
Linear half-wave retarder with fast axis at 458
2 6 4
3 7