TY - JOUR
T1 - Optical Theorems for Electromagnetic Scattering by Inhomogeneities in Layered Dielectric Media
AU - Petropoulos, Peter G.
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1991/8
Y1 - 1991/8
N2 - The well-known optical theorem that relates the forward scattering amplitude to the total cross section of a scatterer in free-space, is extended to problems of scattering of an incident transverse electric (TE) plane wave or guided mode by inhomogeneities in lossless, waveguiding, dielectric interfaces or layers. The cases of a compact irregularity on either the interface between two unbounded dielectric media or in the waveguiding layer of a dielectric-slab waveguide are considered. Simple formulas that connect the scattered amplitudes of the different types of waves excited by the incident energy are derived. They can be used as an independent check of numerical codes when benchmark solutions are not available or are hard to obtain. In addition, a relationship between the scattered amplitudes and the spectral power of each excited wave is derived using the method of stationary phase.
AB - The well-known optical theorem that relates the forward scattering amplitude to the total cross section of a scatterer in free-space, is extended to problems of scattering of an incident transverse electric (TE) plane wave or guided mode by inhomogeneities in lossless, waveguiding, dielectric interfaces or layers. The cases of a compact irregularity on either the interface between two unbounded dielectric media or in the waveguiding layer of a dielectric-slab waveguide are considered. Simple formulas that connect the scattered amplitudes of the different types of waves excited by the incident energy are derived. They can be used as an independent check of numerical codes when benchmark solutions are not available or are hard to obtain. In addition, a relationship between the scattered amplitudes and the spectral power of each excited wave is derived using the method of stationary phase.
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U2 - 10.1109/8.97345
DO - 10.1109/8.97345
M3 - Article
AN - SCOPUS:0026205208
SN - 0018-926X
VL - 39
SP - 1119
EP - 1124
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 8
ER -