Introduction to Electrodynamics · Problem 9.28

Potentials and Fields — David J. Griffiths

Physics · waveguide-te00-mode

Problem

Show that the mode TE00\text{TE}_{00} cannot occur in a rectangular wave guide. [Hint: In this case ω/c=k\omega/c = k, so Eqs. 9.180 are indeterminate, and you must go back to Eq. 9.179. Show that BzB_z is a constant, and hence---applying Faraday's law in integral form to a cross section---that Bz=0B_z = 0, so this would be a TEM mode.]

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