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Asymptotics for Helmholtz and Maxwell Solutions in 3-D Open Waveguides

Asymptotics for Helmholtz and Maxwell Solutions in 3-D Open Waveguides
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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

Keywords:   

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