Lecture7 - Lecture 7 7. Propagation of light and...

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Unformatted text preview: Lecture 7 7. Propagation of light and interaction with matter 7.1.Interaction of light with matter 7.2.Scattering 7.3.Huygens principle 7.4.ReFection and Refraction 7.5.Illustration using Huygens principle 7.6.ermat Principle 7.7. Electromagnetic Approach (resnel equation) Part 1 Complex refractive index we can write n 2 = 1 + N " o e 2 m # o 2 $ # 2 + i 2 %# # o 2 $ # 2 ( ) 2 + 4 % 2 # 2 & ( ) * + & ( ) * + n 2 = n r # ( )+ in i # ( ) ( ) 2 for n ! 1 n " 1 + N 2 # o e 2 m $ o 2 % $ 2 $ o 2 % $ 2 ( ) 2 + 4 & 2 $ 2 + i N # o e 2 m &$ $ o 2 % $ 2 ( ) 2 + 4 & 2 $ 2 n r n i In the medium this yields the following form for the electric eld r E r R , t ( ) = r " E o e # i ( $ t # kz ) = r " E o e # i ( $ t # n $ ( ) $ z / c ) = r " E o e # i ( $ t # n r $ z / c ) e # n i $ z / c propagating wave decay phase velocity c med = c vac n r Absorption of light: I " z ( ) = I " e # $ " ( ) z watch out: absorption coefcient and polarizability are labeled both as ! . To avoid confusion we will use here a for the absorption coefcient I " z ( ) = I " e # a " ( ) z I " z ( ) = I " ( ) # e $ n i " ( ) " z c % & ( ) * 2 a " ( )= 2 " c n i " ( ) with k = " n c = " n r + in i ( ) c n " 1 + N 2 # o e 2 m $ o 2 % $ 2...
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Lecture7 - Lecture 7 7. Propagation of light and...

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