A spherical hole of radius a in a conducting medium can serve as an electromagnetic resonant cavity.
Question:
(a) Assuming infinite conductivity, determine the transcendental equations for the characteristic frequencies ωlm of the cavity for ТЕ and TM modes.
(b) Calculate numerical values for the wavelength λlm in units of the radius α for the four lowest modes for ТЕ and TM waves.
(c) Calculate explicitly the electric and magnetic fields inside the cavity for the lowest ТЕ and lowest TM mode.
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a The boundary conditions are that r the electric field must only have a radial component and the ma...View the full answer
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