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Equivalent Circuit Application of Symmetry Considerations
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actual apert aperture apply approximation arbitrary amplitude Babinet's principle Bifurcated Guide boundary conditions calculation Capacitive characteristic impedance coefficients component conformal mapping consider constant convenience corresponding cross section current and voltage cylindrical define derived dielectric discontinuity dominant mode electric field energy equivalent circuit evaluated excited expansion Figure formulation Fourier Transform Solution given Green's function Green's theorem Hence higher modes impedance elements integral equation integral function junction plane line integral linear lower limit lowest mode field magnetic field magnetic wall matrix Maxwell's equations mn mn mode incident mode wave obst obtain orthogonality parameters propagating pure shunt reactance region requirement result satisfies scalar shunt element shunt susceptance solve static method static problem stream function strip substitute surface symmetry terminal theorem tion transmission line equation transverse vanish variational expression Variational Method variational principle vector wave equation waveguide write zero thickness