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Author Denison, D.R. ♦ Scharstein, R.W.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1993
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Acceleration ♦ Acoustic scattering ♦ Radar scattering ♦ Electromagnetic scattering ♦ Chebyshev approximation ♦ Geometry ♦ Acoustic waves ♦ Polynomials ♦ Diffraction ♦ Boundary value problems
Abstract A mixed boundary value problem for the scalar acoustic field scattered by an axisymmetric plane wave incident upon a hard hemispherical shell is formulated. The resulting discontinuity in surface pressure is expressed in terms of a complete set of weighted Chebyshev polynomials that satisfy the correct asymptotic edge condition. In this way, the extremely slowly converging modal series of spherical wave functions is transformed to a convergent sum of physically motivated basis functions. Truncation to a finite number of unknown coefficients, together with Galerkin projection, yields a set of linear algebraic equations.
Description Author affiliation: Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA (Denison, D.R.; Scharstein, R.W.)
ISBN 0818635606
ISSN 00942898
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1993-03-07
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 226.69 kB
Page Count 3
Starting Page 34
Ending Page 36

Source: IEEE Xplore Digital Library