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Article
The radiation of elliptical and bicylindrically focused piston transducers
Journal of the Acoustical Society of America
  • R. Bruce Thompson, Iowa State University
  • T. A. Gray, Iowa State University
  • J. H. Rose, Iowa State University
  • V. G. Kogan, Iowa State University
  • E. F. Lopes, Iowa State University
Document Type
Article
Publication Date
11-1-1987
DOI
10.1121/1.395800
Abstract

Expressions for the radiation of elliptical and bicylindrically focused piston transducers are derived within the Fresnel approximation. For the axial fields, the result takes the form of either a simple analytical expression (small perturbations from the circular piston case), a single quadrature in a real variable (unfocused and some focused cases), or a single quadrature in a complex variable (near focal points). The full fields are represented by a series of localized, Gauss–Hermite eigenfunctions. Numerical examples are used to illustrate the agreement of the two solutions for on‐axis fields and to shed light on questions of the convergence and the selection of initial scaling parameters of the Gauss–Hermite expansion.

Comments

This article is from Journal of the Acoustical Society of America 82, no. 5 (1987): 1818–1828, doi:10.1121/1.395800.

Copyright Owner
Acoustical Society of America
Language
en
Date Available
February 20, 2013
File Format
application/pdf
Citation Information
R. Bruce Thompson, T. A. Gray, J. H. Rose, V. G. Kogan, et al.. "The radiation of elliptical and bicylindrically focused piston transducers" Journal of the Acoustical Society of America Vol. 82 Iss. 5 (1987) p. 1818 - 1828
Available at: http://works.bepress.com/rbruce_thompson/36/