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Scattering of the plane acoustic wave from a finite hollow rigid cone at oblique incidence
Author(s) -
Kuryliak Dozyslav,
Lysechko Victor
Publication year - 2019
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.201800127
Subject(s) - diffraction , scattering , oblique case , incidence (geometry) , plane wave , plane (geometry) , mathematical analysis , mathematics , physics , optics , algebraic equation , geometry , nonlinear system , philosophy , linguistics , quantum mechanics
The paper deals with solving of the diffraction plane wave problem from a finite rigid hollow cone at oblique incidence. The diffraction problem is treated in terms of the scattering velocity potential by means of the mode matching technique and the analytical regularization procedure. The unknown expansion coefficients are found from an infinite system of linear algebraic equations of the second kind which allows us to obtain a solution with a desired accuracy. The influence of the cone parameters and angles of plane wave incidence on scattering characteristics of the cone is discussed. The obtained numerical results are verified by testing the satisfaction of the mode matching conditions and by comparing our calculations with those known for the rigid disc.