Sum rules and physical bounds in electromagnetic theory

Mats Gustafsson; Daniel Sjöberg; Anders Bernland; Gerhard Kristensson; Christian Sohl

doi:10.1109/URSI-EMTS.2010.5637030

Sum rules and physical bounds in electromagnetic theory

Mats Gustafsson, Daniel Sjöberg, Anders Bernland, Gerhard Kristensson, Christian Sohl

Department of Electrical and Information Technology

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.

Original language	English
Title of host publication	[Host publication title missing]
Pages	37-40
DOIs	https://doi.org/10.1109/URSI-EMTS.2010.5637030
Publication status	Published - 2010
Event	International Symposium on Electromagnetic Theory, 2010 - Berlin, Berlin, Germany Duration: 2010 Aug 16 → 2010 Aug 19

Conference

Conference	International Symposium on Electromagnetic Theory, 2010
Abbreviated title	EMTS URSI
Country/Territory	Germany
City	Berlin
Period	2010/08/16 → 2010/08/19

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

Access to Document

10.1109/URSI-EMTS.2010.5637030

Cite this

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title = "Sum rules and physical bounds in electromagnetic theory",

abstract = "Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.",

author = "Mats Gustafsson and Daniel Sj{\"o}berg and Anders Bernland and Gerhard Kristensson and Christian Sohl",

year = "2010",

doi = "10.1109/URSI-EMTS.2010.5637030",

language = "English",

pages = "37--40",

booktitle = "[Host publication title missing]",

note = "International Symposium on Electromagnetic Theory, 2010, EMTS URSI ; Conference date: 16-08-2010 Through 19-08-2010",

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TY - GEN

T1 - Sum rules and physical bounds in electromagnetic theory

AU - Gustafsson, Mats

AU - Sjöberg, Daniel

AU - Bernland, Anders

AU - Kristensson, Gerhard

AU - Sohl, Christian

PY - 2010

Y1 - 2010

N2 - Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.

AB - Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.

U2 - 10.1109/URSI-EMTS.2010.5637030

DO - 10.1109/URSI-EMTS.2010.5637030

M3 - Paper in conference proceeding

SP - 37

EP - 40

BT - [Host publication title missing]

T2 - International Symposium on Electromagnetic Theory, 2010

Y2 - 16 August 2010 through 19 August 2010

ER -

Sum rules and physical bounds in electromagnetic theory

Abstract

Conference

Subject classification (UKÄ)

Access to Document

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