A Generalised Helmholtz Equation Fundamental Solution Using A Conformal Mapping And Dependent Variable Transformation
Price
Free (open access)
Transaction
Volume
21
Pages
6
Published
1998
Size
325 kb
Paper DOI
10.2495/BE980471
Copyright
WIT Press
Author(s)
Richard Paul Shaw and George D. Manolis
Abstract
Fundamental solutions to a generalized Helmholtz equation are determined through dependent variable transforms using the material properties and independent variable transforms based on conformal mapping. This allows variable wave speed media to be examined under some fairly broad material property constraints. Introduction While the usual Helmholtz equation suffices for many time harmonic wave problems, some heterogeneous media require a modification to be made, e.g. for underwater acoustics with heterogeneous density and compressibility properties, Brekhovskikh and Godin\ Consider then the 2D "generalized" heterogeneous Helmholtz equation V # {K(x, y )VU(x, y)} + N(x, y)U(x, y) = -Q(x, y) (1) which may be solved by several methods for several
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