4500PD06 - or this dielectric material, derive, showing all...

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Dispersion Relationships A dielectric material has a dispersion described by its index of refraction as a function of freespace wavelength n ( λ ) where λ is the freespace wavelength. An electro- magnetic wave in this material has a phase velocity deFned by v p = ω/k and a group velocity deFned by v g = dω/dk . The quantity ω is the radian frequency and is given by ω =2 πc/λ and k is the wavevector magnitude given by k =2 πn/λ .
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Unformatted text preview: or this dielectric material, derive, showing all work, expressions for the quanti-ties listed below. Express all of your answers as functions of n , , dn/d , d 2 n/d 2 , c , and constants only . Thus, and k should be eliminated from all of your answers. Put your Fnal answers in the spaces provided. d d = dk d = d dk = dn d = dn dk = dv p dk = dv g d =...
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This note was uploaded on 04/29/2008 for the course ECE 4500 taught by Professor Gaylord during the Spring '08 term at Georgia Institute of Technology.

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