On the acoustic response of a deeply corrugated periodic surface—a hybrid t-matrix approach

Akhlesh Lakhtakia, Viiay K. Varadan

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Abstract

The extended boundary condition (EBC) method, as proposed by Waterman [J. Acoust. Soc. Am. 57, 791-802 (1975)], is hybridized with the point-matching technique in order to derive a T matrix for a periodically corrugated surface on which either the Dirichlet or the Neumann boundary condition is imposed. The limitations imposed by the Rayleigh hypothesis on Waterman’s T matrix are overcome by a correct choice of eigenfunctions for the surface field representation. Highly corrugated surfaces can now be considered. The numerical results are compared with the data computed by Holford [J. Acoust. Soc. Am. 70, 1116-1128 (1981)], using an integral equation method, as well as with the experimental results collected by Lacasce and Tamarkin [J. Appl. Phys. 27, 138–148 (1956)].

Original languageEnglish (US)
Pages (from-to)2100-2104
Number of pages5
JournalJournal of the Acoustical Society of America
Volume78
Issue number6
DOIs
StatePublished - Jan 1 1985

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All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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