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arXiv · 2408.03824

Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvature

E. A. Zlobina
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Abstract

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.

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E. A. Zlobina. 2024-08-07. Diffraction of large-number whispering gallery mode by boundary straightening with jump of curvature. https://arxiv.org/abs/2408.03824

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