High-frequency diffraction by a narrow hyperboloid of revolution

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1 Citation (Scopus)

Abstract

High-frequency diffraction of a plane acoustic wave incident at a small angle to the axis of a narrow hyperboloid of revolution is considered. By the parabolic equation method in spheroidal coordinates, the leading term of field asymptotics in the near-surface boundary layer is constructed in the form of an integral involving Whittaker functions. Difficulties associated with its calculation are considered. Results obtained for the field at the surface of a perfectly rigid hyperboloid are presented. They reproduce the predicted high-frequency diffraction effects.

Original languageEnglish
Pages (from-to)133-140
Number of pages8
JournalAcoustical Physics
Volume63
Issue number2
DOIs
Publication statusPublished - 1 Mar 2017
Externally publishedYes

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Whittaker functions
entire functions
diffraction
boundary layers
acoustics

Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

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AB - High-frequency diffraction of a plane acoustic wave incident at a small angle to the axis of a narrow hyperboloid of revolution is considered. By the parabolic equation method in spheroidal coordinates, the leading term of field asymptotics in the near-surface boundary layer is constructed in the form of an integral involving Whittaker functions. Difficulties associated with its calculation are considered. Results obtained for the field at the surface of a perfectly rigid hyperboloid are presented. They reproduce the predicted high-frequency diffraction effects.

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