Open AccessA parallel‐plate waveguide antenna radiating through a perfectly conducting wedge
Author(s) -
Tsalamengas John L.,
Vardiambasis Ioannis O.
Publication year - 2021
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/mia2.12073
Subject(s) - wedge (geometry) , integral equation , gravitational singularity , eigenfunction , mathematical analysis , mathematics , waveguide , diffraction , singular integral , kernel (algebra) , geometry , eigenvalues and eigenvectors , optics , physics , pure mathematics , quantum mechanics
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.