DIFFRACTION BY A TRANSPARENT ELLIPTICAL CYLINDER,

Abstract

The diffraction of an acoustic pulse from a line source by a transparent elliptical cylinder is treated as a formal boundary-value problem. The solutions interior and exterior to the cylinder are represented in terms of eigenfunction expansions of Mathieu functions. Perturbation theory is used to eliminate the difficulty arising from the absence of an orthogonality relation between the angular functions for the interior and exterior regions of the cylinder. A general asymptotic expression valid for short times after the arrival of the wave front is given for the reflected, transmitted, and diffracted pulses. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0681163

Entities

People

  • Lawrence D. Porter

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Diffraction
  • Eigenvectors
  • Mathematical Analysis
  • Mathematics
  • Orthogonality
  • Perturbation Theory
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering