TE-mode scattering from finite rectangular grooves in parallel-plate waveguide

Abstract

An analytic solution for TE-mode scattering from a parallel-plate waveguide with periodic grooves is obtained. The Fourier-transform is used to express the scattered field in the spectral domain as superposition of the parallel-plate waveguide modes. The boundary conditions are enforced to obtain simultaneous equations for the transmitted field inside the grooves. The simultaneous equations are solved to represent the transmitted field in series form which is very efficient for numerical computation. Using the residue calculus, the reflection and transmission coefficients are obtained and their filter characteristics are studied in terms of frequency and groove sizes.