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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.17954 |
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| _version_ | 1866909406130601984 |
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| author | Aldosri, Afnan A. Meylan, Michael H. Wilks, Ben |
| author_facet | Aldosri, Afnan A. Meylan, Michael H. Wilks, Ben |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17954 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wave scattering at a rectangular junction of four waveguides Aldosri, Afnan A. Meylan, Michael H. Wilks, Ben Mathematical Physics 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. |
| title | Wave scattering at a rectangular junction of four waveguides |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2411.17954 |