Physics 8 03 Vibrations and Waves Lecture 17 EM waves meet dielectrics Last time waveguides Single hollow conductor TE or TM mode but not TEM m x j t k z z E y E0 sin e a k x E0 m x j t k z z k z E0 m x j t k z z B x z j cos sin e e a a Not a plane wave any more Dispersion Last time wave guides Ey f y m x n y E y E0 sin cos t k z z cos a b m x n y E x E0 cos cos t k z z sin a b Ez 0 2 cut off mn m n a b Each mode has its own cut off frequency 2 Dielectrics Polarization and magnetization index of refraction modify Maxwell s equations modify wave velocity Law of reflection and refraction Snell Reflection and transmission amplitudes
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