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homework and exercises - Transverse Magnetic (TM) and Transverse Electric (TE) modes - Physics Stack

Bare with me, I don't remember every little step, but I hope this derivation helps you. First remember how a wave travels through a waveguide (dielectric). $$ E(x,y,z) = E^{0}(x,y)e^{-\gamma z}$$ $$ H(x,y,z) = H^{0}(x,y)e^{-\gamma z}$$ Then consid...

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