Wave splitting and imbedding equations for a spherically symmetric dispersive medium

Anders Karlsson; Kevin Kreider; Gerhard Kristensson

Wave splitting and imbedding equations for a spherically symmetric dispersive medium

Anders Karlsson, Kevin Kreider, Gerhard Kristensson

Department of Electrical and Information Technology

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

Abstract

The direct problem of time dependent electromagnetic scattering in the dispersive
sphere is solved by a wave splitting technique. The electric field is
expanded in a series involving vector spherical harmonics, leading to a system
of wave equations for each term. These systems are reduced to scalar
wave equations for each term, which are solved via reflection operators. Some
preliminary numerical results are presented.

Original language	English
Title of host publication	Invariant inbedding and inverse problems
Editors/authors	J. P. Corones, Gerhard Kristensson, P. Nelson, D. L. Seth
Publisher	Society for Industrial and Applied Mathematics
Pages	103-113
ISBN (Print)	0-89871-305-6
Publication status	Published - 1992

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering
Other Electrical Engineering, Electronic Engineering, Information Engineering

Cite this

@inbook{e2a7a8de9f3d46dbaf0974b6451b2eaf,

title = "Wave splitting and imbedding equations for a spherically symmetric dispersive medium",

abstract = "The direct problem of time dependent electromagnetic scattering in the dispersive sphere is solved by a wave splitting technique. The electric field is expanded in a series involving vector spherical harmonics, leading to a system of wave equations for each term. These systems are reduced to scalar wave equations for each term, which are solved via reflection operators. Some preliminary numerical results are presented.",

author = "Anders Karlsson and Kevin Kreider and Gerhard Kristensson",

year = "1992",

language = "English",

isbn = "0-89871-305-6",

pages = "103--113",

editor = "Corones, \{J. P.\} and Gerhard Kristensson and P. Nelson and Seth, \{D. L.\}",

booktitle = "Invariant inbedding and inverse problems",

publisher = "Society for Industrial and Applied Mathematics",

address = "United States",

}

Wave splitting and imbedding equations for a spherically symmetric dispersive medium. / Karlsson, Anders; Kreider, Kevin; Kristensson, Gerhard.
Invariant inbedding and inverse problems. ed. / J. P. Corones; Gerhard Kristensson; P. Nelson; D. L. Seth. Society for Industrial and Applied Mathematics, 1992. p. 103-113.

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

TY - CHAP

T1 - Wave splitting and imbedding equations for a spherically symmetric dispersive medium

AU - Karlsson, Anders

AU - Kreider, Kevin

AU - Kristensson, Gerhard

PY - 1992

Y1 - 1992

N2 - The direct problem of time dependent electromagnetic scattering in the dispersive sphere is solved by a wave splitting technique. The electric field is expanded in a series involving vector spherical harmonics, leading to a system of wave equations for each term. These systems are reduced to scalar wave equations for each term, which are solved via reflection operators. Some preliminary numerical results are presented.

AB - The direct problem of time dependent electromagnetic scattering in the dispersive sphere is solved by a wave splitting technique. The electric field is expanded in a series involving vector spherical harmonics, leading to a system of wave equations for each term. These systems are reduced to scalar wave equations for each term, which are solved via reflection operators. Some preliminary numerical results are presented.

M3 - Book chapter

SN - 0-89871-305-6

SP - 103

EP - 113

BT - Invariant inbedding and inverse problems

A2 - Corones, J. P.

A2 - Kristensson, Gerhard

A2 - Nelson, P.

A2 - Seth, D. L.

PB - Society for Industrial and Applied Mathematics

ER -

Wave splitting and imbedding equations for a spherically symmetric dispersive medium

Abstract

Subject classification (UKÄ)

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Cite this