ECE615_Lecture_15 - Lecture 15 Linear Susceptibility Linear...

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Unformatted text preview: Lecture 15 Linear Susceptibility Linear optical properties of a material system. The expectation value of the electric dipole moment: (19) ( 29 (1) (1) ( ) exp m m m m a u r i t = - a ( 29 (1) ( ) 1 ( ) exp mg p n mg p p mg p E a t i t =- - a a (0) (1) ... = + + | | p = a a 1 (20) (21) from (10),(11) (22) (0) (1) (1) (0) | | | | p = + a a a ( 29 (0) ( , ) ( ) exp g g r t u r iE t = - a a 1 = ( 29 ( 29 * (1) * ( ) ( ) 1 exp exp gm mg p mg p mg p p p m mg p mg p E E p i t i t =- + -- a a a a a a a * real mg gm = a a to incorporate damping phenomena: the real transition frequency- the population decay rate of the upper level m (procedure cannot describe the cascade of population among the excited states nor can it describe dephasing processes that are not accompanied by the transfer of population.processes that are not accompanied by the transfer of population....
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This note was uploaded on 01/10/2011 for the course ECE 615 taught by Professor Shalaev during the Fall '10 term at Purdue University-West Lafayette.

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ECE615_Lecture_15 - Lecture 15 Linear Susceptibility Linear...

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