Wave propagation in a three-dimensional doubly periodic parallel plate waveguide
type: Item
instance of: scholarly article
title: Wave propagation in a three-dimensional doubly periodic parallel plate waveguide
zbMATH Open document ID: 0605.73024
DOI: 10.1016/0165-2125(87)90013-8
author: Sven-Erik Sandström
published in: Wave Motion
publication date: 1987-01-01T00:00:00Z
review text: The stopband structure of a three-dimensional waveguide with doubly periodic corrugations is studied. A preliminary investigation using straightforward perturbation theory gives a formula for the resonant frequencies whereas the main part of the paper is devoted to the null- field approach. In the numerical examples the waveguide is assumed to be hard-walled with symmetric, antisymmetric or one-sided corrugations which are, moreover, doubly sinusoidal. The interaction pattern and the stopband widths are determined for the lowest modes. The resonances are found to be of stopband or crossover type depending on the relative directions of propagation of the resonating modes and it appears that geometrical symmetries of the boundaries suppress well-defined sets of resonances. There is also a considerable angular dependence which affects the positions of the resonances as well as the stopband widths. Finally, the field pattern inside the waveguide is obtained via the null-field integral representation.
Mathematics Subject Classification ID: 74J99
zbMATH DE Number: 3978496
zbMATH Keywords: T-matrix
zbMATH Keywords: stopband structure
zbMATH Keywords: three-dimensional waveguide
zbMATH Keywords: doubly periodic corrugations
zbMATH Keywords: straightforward perturbation theory
zbMATH Keywords: resonant frequencies
zbMATH Keywords: null-field approach
zbMATH Keywords: hard-walled
zbMATH Keywords: symmetric
zbMATH Keywords: antisymmetric
zbMATH Keywords: one-sided corrugations
zbMATH Keywords: doubly sinusoidal
zbMATH Keywords: interaction pattern
zbMATH Keywords: stopband widths
zbMATH Keywords: lowest modes
MaRDI profile type: Publication
full work available at URL: 0165-2125(87)90013-8
OpenAlex ID: W2050070357
cites work: Q5842186
cites work: Sound waves in two-dimensional ducts with sinusoidal walls
cites work: Scattering by periodic surfaces
cites work: Q3671491
description: scientific article; zbMATH DE number 3978496