Whispering gallery waves localized near circular isobaths in shallow water

Boris G. Katsnelson, Pavel S. Petrov

Research output: Contribution to journalArticlepeer-review


Sound propagation in an area of shallow sea with circular isobaths and the bottom depth increasing towards their curvature center is considered. Such an area could be part of a bay, a lagoon, or a lake with bowl-like bottom relief. The possible formation of whispering gallery waves localized in the vicinity of curved isobaths is considered. Simple criteria for the formation of such whispering gallery due to horizontal refraction are derived; their transverse modal structure is described analytically in terms of Bessel functions and using the Wentzel-Kramers-Brillouin-Jeffreys approximation. The corresponding azimuthal wavenumbers and radial mode functions are computed. Dispersion of such waves is also investigated, and the possibility of their experimental observation is discussed.

Original languageEnglish
Pages (from-to)1968-1981
Number of pages14
JournalJournal of the Acoustical Society of America
Issue number3
StatePublished - 1 Sep 2019

Bibliographical note

Funding Information:
This study was supported by the Israel Science Foundation Grant No. 565/15 and mostly accomplished during the stay of P.S.P. at the University of Haifa. P.S.P. was also partly supported by the Russian Foundation for Basic Research under the Contract No. 18-05-00057_a, the POI FEBRAS Program “Nonlinear dynamical processes in the ocean and atmosphere” (Grant No. 0201363045), and the RF President Grant No. MK-2262.2017.5.

Publisher Copyright:
© 2019 Acoustical Society of America.

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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