Application Of The Transition Matrix To A Ribbon Shaped Scatterer

Richard L. Weaver, Yih Hsing Pao

Research output: Contribution to journalArticlepeer-review


The transition matrix for scalar waves scattered by a ribbon shaped obstacle with Neumann boundary conditions is derived using a basis set for the surface field expansion chosen to facilitate convergence. An analytic expression for the scattering amplitude in arbitrary directions exact to order (ak)is derived from the transition matrix. Comparisons with the results based on the geometrical theory of diffraction and solutions for the integral equation at low frequencies indicate that valid numerical results are obtained throughout the range of frequencies considered (0<ak < 10).

Original languageEnglish (US)
Pages (from-to)1199-1206
Number of pages8
JournalJournal of the Acoustical Society of America
Issue number4
StatePublished - Oct 1979
Externally publishedYes

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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