The permittivity of an ionic crystal is \\(\\epsilon(\\omega)=1+\\omega_{p}^{2}/
ID: 2261174 • Letter: T
Question
The permittivity of an ionic crystal is (epsilon(omega)=1+omega_{p}^{2}/(omega_{o}^{2}-omega^{2})) where (omega_{o}=0.05eV) is the optical phonon frequency and (omega_{p}=0.1eV) is the plasma frequency. a) Plot the reflection coefficient (R(omega)) for the electromagnetic radiation incident on the crystal. b) Identify the frequency band where the crystal is opaque (R=100%). Give the values of the bound frequencies (omega_{1}) and (omega_{2}) c) Show that the reflection coefficient for static electric fields ((omega=0)) can be written as (R(0)=[(omega_{2}-omega_{1})/(omega_{2}+omega_{1})]^{2})
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