Wave scattering at a rectangular junction of four waveguides
Mathematical Physics
2024-11-28 v1 math.MP
Abstract
We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to sub-problems defined on one quadrant of the junction. These sub-problems are solved using the eigenfunction matching method. The solution to the problem on the full region is then recovered from the solutions to the sub-problems, and a scattering matrix for the junction is presented. Finally, the solution in the time domain is constructed as a superposition of the frequency domain solutions and visualised for a range of incident pulses and waveguide geometries.
Cite
@article{arxiv.2411.17954,
title = {Wave scattering at a rectangular junction of four waveguides},
author = {Afnan A. Aldosri and Michael H. Meylan and Ben Wilks},
journal= {arXiv preprint arXiv:2411.17954},
year = {2024}
}