Z. Altman et al., INTEGRAL-EQUATION SCALAR GREEN-FUNCTION FORMULATION FOR COMPUTATION OF CUTOFF WAVE-NUMBERS AND MODAL FIELDS IN WAVE-GUIDES, IEEE transactions on microwave theory and techniques, 42(3), 1994, pp. 532-535
A scalar formulation for cutoff wavenumber and modal field calculation
s is presented. Integral equations are used with a scalar Green's func
tion for a two dimensional rectangular resonator for both TE and TM mo
des. These are transformed into matrix equations by the Galerkin metho
d. The electric TE held is calculated from the scalar potential and is
written in the form of a contour integral. The advantage of the scala
r formulation is the simple form of the matrix eigenvalue equations wh
ich are used in the moment method solution, and the economy in CPU tim
e in the determination of TE cutoff wavenumbers.