复旦大学：《电动力学》课程教学资源（学生课堂报告）转移矩阵研究球壳散射

TMM Applied for 2 Shell Scattering Weijia Wang Dec.14.2010

TMM Applied for Shell Scattering Weijia Wang Dec.14.2010

Outline Model Spherical coordinates: Epsilon=-05 Check Epsilon=-05 Quasi Static Approximation Cylindrical Coordinates

Outline ◼Model ◼Spherical coordinates:Epsilon=-0.5 ◼Check Epsilon=-0.5 ◼Quasi Static Approximation ◼Cylindrical Coordinates

Model A single shell with Epsilon a static electric field R a plane wave 2丌

Model ◼ A single shell with Epsilon ◼ a static electric field ◼ a plane wave r  2 R   =

Spherical Coordinate TMM p,=(cr+ur 2) cos 8 =(1+) (1-s,)2(1+) 323R 2 3(1 R (1-E,)(1+2E,) (1+ 3 T 22 2R 1、,R (1-6,)1+x)+ (1+26,)(1--)=0 28 0.5

Spherical Coordinate ◼TMM 2 ( ) cos l l l d c r r   = + 3 3 1 0 21 2 1 1 (1 )(1 ) (1 2 )(1 ) 0 9 2 9 r r r r R R T     = − + + + − = 0.5 r  = − 3 3 2 0 3 3 2 0 2 2 2 1 2 1 (1 ) (1 ) (1 ) (1 ) 3 2 3 3 2 3 1 1 1 2 (1 ) (1 2 ) (1 ) (1 ) 3 3 3 3 r r r l r l l l r r r r c R R c d R R d            + − + −        =                 − +   − +    1 0 t T r         =     21 22 T r T = −

Drude Model+Mie Theory 20nm:24n 0.6 Epsilon 296nme=-0.13 10000 04 0.2 1000 0.0 -0.2 254nme=-0.53 100 -04 -0.6 -0.8 -1.0 1.2 886,()≈1 0.1 200 250 300 400 Wavelength(nm)

Drude Model+Mie Theory 2 2 ( ) 1 p r w w w   − 296nm e= -0.13 254nm e= -0.53 20nm:24nm