The essential modes of the electromagnetic scattering operator

NV Budko; AB Samokhin

The essential modes of the electromagnetic scattering operator

NV Budko, AB Samokhin

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

Previously we have shown that apart from discrete spectrum (eigenvalues), the threedimensional volume integral operator of electromagnetic scattering has a conitnuous essential spectrum as well. Here we derive the corresponding essential modes. We use the Weyl definition of essential spectrum, where such modes are described in terms of singular sequences. A closed form expression for the required sequence is obtained and its properties are analyzed. We also discuss the physical meaning and the conditions on the excitation of the essential resonances.

Original language	Undefined/Unknown
Title of host publication	2007 International conference on electromagnetics in advanced applications
Editors	s.n.
Place of Publication	Torino
Publisher	COREP
Pages	1-4
Number of pages	4
ISBN (Print)	1-4244-0767-2
Publication status	Published - 2007
Event	ICEAA 2007: 10th edition - Torino Duration: 17 Sept 2007 → 21 Sept 2007

Publication series

Name
Publisher	COREP

Conference

Conference	ICEAA 2007
City	Torino
Period	17/09/07 → 21/09/07

Keywords

conference contrib. refereed
Conf.proc. > 3 pag

Cite this

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title = "The essential modes of the electromagnetic scattering operator",

abstract = "Previously we have shown that apart from discrete spectrum (eigenvalues), the threedimensional volume integral operator of electromagnetic scattering has a conitnuous essential spectrum as well. Here we derive the corresponding essential modes. We use the Weyl definition of essential spectrum, where such modes are described in terms of singular sequences. A closed form expression for the required sequence is obtained and its properties are analyzed. We also discuss the physical meaning and the conditions on the excitation of the essential resonances.",

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author = "NV Budko and AB Samokhin",

year = "2007",

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isbn = "1-4244-0767-2",

publisher = "COREP",

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T1 - The essential modes of the electromagnetic scattering operator

AU - Budko, NV

AU - Samokhin, AB

PY - 2007

Y1 - 2007

N2 - Previously we have shown that apart from discrete spectrum (eigenvalues), the threedimensional volume integral operator of electromagnetic scattering has a conitnuous essential spectrum as well. Here we derive the corresponding essential modes. We use the Weyl definition of essential spectrum, where such modes are described in terms of singular sequences. A closed form expression for the required sequence is obtained and its properties are analyzed. We also discuss the physical meaning and the conditions on the excitation of the essential resonances.

AB - Previously we have shown that apart from discrete spectrum (eigenvalues), the threedimensional volume integral operator of electromagnetic scattering has a conitnuous essential spectrum as well. Here we derive the corresponding essential modes. We use the Weyl definition of essential spectrum, where such modes are described in terms of singular sequences. A closed form expression for the required sequence is obtained and its properties are analyzed. We also discuss the physical meaning and the conditions on the excitation of the essential resonances.

KW - conference contrib. refereed

KW - Conf.proc. > 3 pag

M3 - Conference contribution

SN - 1-4244-0767-2

SP - 1

EP - 4

BT - 2007 International conference on electromagnetics in advanced applications

A2 - s.n., null

PB - COREP

CY - Torino

T2 - ICEAA 2007

Y2 - 17 September 2007 through 21 September 2007

ER -