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Excitation coefficients of whispering gallery waves in a neighborhood of a flat point of a concave boundary

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Abstract

A method is proposed for the computer calculation of the excitation coefficients of whispering gallery waves which arise beyond a flat point of a concave boundary when a single whispering gallery wave is incident on this point. Values of the moduli of these coefficients are presented for the incidence of the first and second whispering gallery waves. From the results obtained it follows that in both cases considered the major portion of the energy of the incident wave (27 and 23%, respectively) goes over into the first wave beyond the flat point of the boundary.

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Literature cited

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Authors
  1. M. M. Popov
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  2. V. G. Krasavin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 99, pp. 138–145, 1980.

The authors are grateful to I. Pshenchik (Geophysical Institute, Prague) for his assistance and advice.

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Popov, M.M., Krasavin, V.G. Excitation coefficients of whispering gallery waves in a neighborhood of a flat point of a concave boundary. J Math Sci 20, 2486–2491 (1982). https://doi.org/10.1007/BF01087296

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  • DOI: https://doi.org/10.1007/BF01087296

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