Use the Kramers Kronig relation (7 120) to calculate the real part of ( w ), given the imaginary part of ( w ) for positive w as (a) Im 0 ( w w 1 ) ( w w 2 ) , w 2 w 1 0 (b) In each case sketch the behavior of Im ( w ) and the result for Re ( w ) as functions of w Comment on the reasons for similar...

Use the Kramers-Kronig relation (7.120) to calculate the real part of ?( w ), given the imaginary

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Use the Kramers-Kronig relation (7.120) to calculate the real part of ?(w), given the imaginary part of ?(w) for positive w as

(a) Im ?/?₀ = ?[?(w ? w₁) - ?(w ? w₂)], ? ? ? ? ? ?w₂ > w₁ > 0

(b)

In each case sketch the behavior of Im ?(w) and the result for Re ?(w) as functions of w. Comment on the reasons for similarities or differences of your results as compared with the curves in figure. The step function is ?(x) = 0, x 0.

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Classical Electrodynamics

ISBN: 978-0471309321

3rd Edition

Authors: John David Jackson

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Question Posted: Sep 08, 2011 08:55 AM

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Use the Kramers-Kronig relation (7.120) to calculate the real part of ?( w ), given the imaginary

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λγω (af - w)? + yw Im ele,

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We then have The Krame...View the full answer

Classical Electrodynamics

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