Accession Number : AD0681163

Title :   DIFFRACTION BY A TRANSPARENT ELLIPTICAL CYLINDER,

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Porter,Lawrence D.

Report Date : FEB 1966

Pagination or Media Count : 19

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)

Descriptors :   (*ACOUSTIC SIGNALS, *DIFFRACTION), SOUND TRANSMISSION, SOUND, PULSES, CYLINDRICAL BODIES, BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY, REFLECTION

Subject Categories : Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE