Year: 2012
Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 629–646
Abstract
We extend classic Sommerfeld and Silver-Müller radiation conditions for bounded scatterers to acoustic and electromagnetic fields propagating over three isotropic homogeneous layers in three dimensions. If x=(x1,x2,x3)∈R3, with x3 denoting the direction orthogonal to the layers, standard conditions only hold for the outer layers in the region |x3|>‖x‖r, for γ∈(1/4,1/2) and x large. For |x3|<‖x‖r and inside the slab, asymptotic behavior depends on the presence of surface or guided modes given by the discrete spectrum of the associated operator.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.231209.150910s
Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 629–646
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18