Using the dispersion equation, show that the group velocity is given by for high-frequency electromagnetic waves (e.g.,

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Using the dispersion equation,

Nq. n°(w) = 1 + fj Com, <

show that the group velocity is given by

V g 1 + Nq²/eomw²2 ||

for high-frequency electromagnetic waves (e.g., X-rays). Keep in mind that since Æ’j are the weighting factors, ΣjÆ’j = 1. What is the phase velocity? Show that vv‰ˆ c2.

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Optics

ISBN: 978-0133977226

5th edition

Authors: Eugene Hecht

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