High frequency asymptotic solutions of the reduced wave equation on infinite regions with non-convex boundaries

High frequency asymptotic solutions of the reduced wave equation on infinite regions with non-convex boundaries

The asymptotic behavior as λ→∞ of the function U(x,λ) that satisfies the reduced wave equation Lλ[U]=∇⋅(E(x)∇U)+λ2N2(x)U=0 on an infinite 3-dimensional region, a Dirichlet condition on ∂V , and an outgoing radiation condition is investigated. A function UN(x,λ) is constructed that is a global appr...

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Bibliographic Details
Main Author: Clifford O. Bloom
Format: Article
Language:English
Published: Hindawi Limited 1996-01-01
Series:Mathematical Problems in Engineering
Subjects:
High frequency radiation
scattering
global approximate solution
uniform asymptotic approximation
caustics
geometrical optics
inhomogeneous medium
anisotropic medium
reduced wave equation.
Online Access:http://dx.doi.org/10.1155/S1024123X96000385

Internet

http://dx.doi.org/10.1155/S1024123X96000385

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