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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.03824 |
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| _version_ | 1866912949355937792 |
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| author | Zlobina, E. A. |
| author_facet | Zlobina, E. A. |
| contents | Diffraction of a high-frequency large-number whispering gallery mode is studied, which runs along a concave curve turning to a straight line. At the point of straitening, the curvature of the boundary suffers a jump. The parabolic equation method is developed in the problem, and asymptotic formulas are presented for all waves arising in the vicinity of the non-smoothness point of the boundary. The ``ray skeleton'' of the wavefield is investigated in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03824 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvature Zlobina, E. A. Mathematical Physics Diffraction of a high-frequency large-number whispering gallery mode is studied, which runs along a concave curve turning to a straight line. At the point of straitening, the curvature of the boundary suffers a jump. The parabolic equation method is developed in the problem, and asymptotic formulas are presented for all waves arising in the vicinity of the non-smoothness point of the boundary. The ``ray skeleton'' of the wavefield is investigated in detail. |
| title | Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvature |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2408.03824 |