A parallel‐plate waveguide antenna radiating through a perfectly conducting wedge

Abstract

Abstract Parallel‐plate waveguide antennas hosted in an electrically perfectly conducting wedge are studied. The analysis relies on an exact singular integral equation formulation. Asymptotic extraction techniques are employed to recast the kernel functions as the sum of two terms: one singular in closed form and another having the form of either a rapidly converging eigenfunctions expansion or a computationally efficient diffraction integral. The obtained integral equation is discretised in the framework of the Nystrom method using rapidly converging quadratures that take into account both the singularities of the kernels and the geometrical singularities at the edges. Numerical examples and case studies demonstrate the high accuracy and efficiency of the proposed algorithms. The analysis covers the canonical problem of a parallel‐plate waveguide antenna backed on a perfectly conducting wedge as a special case.

Keywords

• eigenvalues and eigenfunctions
• electromagnetic wave diffraction
• integral equations
• parallel plate waveguides
• waveguide antennas