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Scalar Wave Diffraction by a Rigid Cylindrical Rod of Finite Length with Impedance Ends
Author(s) -
Büyükaksoy A.,
Polat B.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970771107
Subject(s) - diffraction , mathematics , mathematical analysis , plane (geometry) , plane wave , scalar (mathematics) , algebraic equation , electrical impedance , algebraic number , geometry , physics , optics , nonlinear system , quantum mechanics
A uniform asymptotic high frequency solution is presented for the problem of diffraction of plane harmonic sound waves by an acoustically rigid cylindrical rod of finite length with the ends characterized by the same surface impedance. This problem is described by a modified Wiener‐Hopf equation of the third kind and then solved approximately. The solution involves two infinite sets of constants satisfying two infinite systems of linear algebraic equations. Numerical solutions of these systems are obtained for various values of the parameters of the problem and their effects on the diffraction phenomenon are shown graphically.