2024/11/27 by Afnan A. Aldosri, Aldosri, Afnan A., Michael H. Meylan +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2411.17954
openalex publication_date 2024/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.