Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvature
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912949355937792 |
|---|---|
| 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 |