Question: Consider the resonant cavity produced by closing off the two ends of a rectangular wave guide, at z = 0 and at z = d,

Consider the resonant cavity produced by closing off the two ends of a rectangular wave guide, at z = 0 and at z = d, making a perfectly conducting empty box. Show that the resonant frequencies for both TE and TM modes are given by for integers l, m, and n. Find the associated electric and magnetic fields.

Wlmn (1/d)2 + (m/a)2 + (n/b)2,

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Look for solutions of the form E Eox y zeit B Box y zeit subject to the boundary condi tions El0 B0 at all surfaces Maxwells equations in the form of Eq 9177 give VE0 VEo0 VxE V x Eg iw Boi VXB From n... View full answer

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