In An Ionic Crystal The Coupling Of The Transverse Optical Phonon With The Elect

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In an ionic crystal, the coupling of the transverse optical photon

In an ionic crystal , the coupling of the transverse optical phonon with the electromagneticwave leads to polariton with the dispersion relation given as :"K ? C 2 / 0 2 = E ( W ) = $ ( 00 ) + [ { ( 0 ) – $ (00) ] WOT ? / ( WOT ? _ W 2 ), where IT is the frequency of the transverse*phonon mode , & is the wave vector of the polariton . ( a ) ( 10pts ) Find the solutions for w near k = 0and k being very large ; ( b ) ( 10 pts ) Discuss if the polariton wave can propagate in the frequencyrange (T < W < WL , where we ( the frequency of the longitudinal mode ) is related to cut through the[ST relation ( eq . 62 , ch . 14 ) .E-E ( 0 )E ( 00( 62)

 
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