Asymptotics for Helmholtz and Maxwell Solutions in 3-D Open Waveguides
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
GLOBAL SCIENCE PRESS
Abstract
We extend classic Sommerfeld and Silver-Muller radiation conditions for bounded scatterers to acoustic and electromagnetic fields propagating over three isotropic homogeneous layers in three dimensions. If x = (x(1), x(2), x(3)) is an element of R-3, with x(3) denoting the direction orthogonal to the layers, standard conditions only hold for the outer layers in the region |x(3) | > parallel to x parallel to(gamma), for gamma is an element of (1/4, 1/2) and x large. For |x(3)| < parallel to x parallel to(gamma). and inside the slab, asymptotic behavior depends on the presence of surface or guided modes given by the discrete spectrum of the associated operator.
Description
Keywords
Open waveguide, radiation condition, Helmholtz equation, RADIATION CONDITION