ECE615_Lecture05

# ECE615_Lecture05 - Lecture 5 Centrosymmetric Media(1 Tensor...

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Unformatted text preview: Lecture 5 Centrosymmetric Media (1) Tensor properties of susceptibility cannot be specified unless internal symmetries of the medium are completely known. Consider isotropic centrosymmetric material (glasses, liquids, etc.): : only spatial direction in isotropic medium is 2 3 restoring F m x mbx ϖ = - + ɶ ɶ ɶ 2 2 4 1 1 2 4 U Fdx m x mbx ϖ = - =- ∫ ɶ ɶ ɶ ɶ x r → ɶ ɶ r h ɶ 1 (2) (3) (4) more conveniently: (5) 2 restoring ( ) F m r mb r r r ϖ = - + ⋅ h h h h ɶ ɶ ɶ ɶ ɶ ( 29 2 2 ( ) e r r r b r r r E m γ ϖ + +- ⋅ = - h h h h h h h ɺɺ ɺ ɶ ɶ ɶ ɶ ɶ ɶ ɶ ( 29 ( 29 ( 29 1 2 3 3 1 2 ( ) exp exp exp . . E t E E E i t c c i t i t ϖ ϖ ϖ = + +- +-- h h h h ɶ ( 29 ( ) ( ) exp n n n E t E i t ϖ ϖ =- ∑ h h ɶ perturbation method (6) (7) (8) (9) ( ) ( ) E t E t λ = h ɶ ɶ 2 (2) 3 (3) ( ) ( ) ( ) ( ) ... r t r t r t r t λ λ λ = + + + h h h h ɶ ɶ ɶ ɶ ( 29 (1) (1) 2 (1) 2 ( ) e r r r E t m γ ϖ + + = - h h h h ɺɺ ɺ ɶ ɶ ɶ ɶ (2) (2) 2 (2) 2 r r r γ...
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ECE615_Lecture05 - Lecture 5 Centrosymmetric Media(1 Tensor...

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