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Self consistent Green's function formalism for acoustic and light scattering, Part 2: Dyadic notation

Rother, Tom (2005) Self consistent Green's function formalism for acoustic and light scattering, Part 2: Dyadic notation. Optics Communications, 251, pp. 270-285. Elsevier.

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Abstract

A self consistent dyadic Green's function formalism in spherical coordinates, related to the vector wave equation, is presented. As already discussed in a previous paper (part 1) dealing with the scalar Helmholtz equation there are four essential quantities. These are the dyadic volume Green's function, the dyadic surface Green's function, the dyadic free-space Green's function and the dyadic interaction operator. Huygens' principle expressed in terms of these quantities serves as a starting point. From this we obtain Lippmann-Schwinger equations for the dyadic volume Green's function and the interaction operator as well as appropriate series expansions for both the dyadic volume and surface Green's functions. These quantities can then be used to solve electromagnetic scattering and radiation problems in the presense of nonspherical obstacles, such as light scattering. The developed formalism provides a common mathematical basis for a variety of different numerical approaches developed so far.

Document Type:Article
Title:Self consistent Green's function formalism for acoustic and light scattering, Part 2: Dyadic notation
Authors:
AuthorsInstitution or Email of Authors
Rother, TomUNSPECIFIED
Date:2005
Journal or Publication Title:Optics Communications
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:251
Page Range:pp. 270-285
Publisher:Elsevier
Status:Published
Keywords:light scattering, acoustic scattering, Green's function, vector wave equation
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Entwicklung von Atmosphärenprozessoren (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Dr.rer.nat. Tom Rother
Deposited On:14 Dec 2005
Last Modified:27 Apr 2009 04:46

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