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arXiv · 2411.17954

Wave scattering at a rectangular junction of four waveguides

Afnan A. Aldosri·Michael H. Meylan·Ben Wilks
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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.

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Afnan A. Aldosri, Michael H. Meylan, Ben Wilks. 2024-11-27. Wave scattering at a rectangular junction of four waveguides. https://arxiv.org/abs/2411.17954

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