Physical bounds and sum rules in scattering and antenna theory

Mats Gustafsson; Gerhard Kristensson; Sven Nordebo; Christer Larsson; Anders Bernland; Daniel Sjöberg

doi:10.1109/ICEAA.2009.5297360

Physical bounds and sum rules in scattering and antenna theory

Mats Gustafsson, Gerhard Kristensson, Sven Nordebo, Christer Larsson, Anders Bernland, Daniel Sjöberg

Department of Electrical and Information Technology

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

Abstract

The objective of this paper is to review some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on identities for Herglotz functions that relate the quantity of interest integrated over all wavelengths with its static polarizability dyadics. They are transformed to physical bounds by applying variational principles for the polarizability dyadics together with various estimates of the integrals. The theoretical findings are exemplified by numerical results for several configurations.

Original language	English
Title of host publication	[Host publication title missing]
Pages	600-603
Number of pages	4
DOIs	https://doi.org/10.1109/ICEAA.2009.5297360
Publication status	Published - 2009
Event	International Conference on Electromagnetics in Advanced Applications (ICEAA), 2009 - Torino, Turin, Italy Duration: 2009 Sept 14 → 2009 Sept 18

Conference

Conference	International Conference on Electromagnetics in Advanced Applications (ICEAA), 2009
Country/Territory	Italy
City	Turin
Period	2009/09/14 → 2009/09/18

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

Access to Document

10.1109/ICEAA.2009.5297360

Cite this

@inproceedings{315cb4d1eb464ad2828c3d500d8f9fdf,

title = "Physical bounds and sum rules in scattering and antenna theory",

abstract = "The objective of this paper is to review some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on identities for Herglotz functions that relate the quantity of interest integrated over all wavelengths with its static polarizability dyadics. They are transformed to physical bounds by applying variational principles for the polarizability dyadics together with various estimates of the integrals. The theoretical findings are exemplified by numerical results for several configurations.",

author = "Mats Gustafsson and Gerhard Kristensson and Sven Nordebo and Christer Larsson and Anders Bernland and Daniel Sj{\"o}berg",

year = "2009",

doi = "10.1109/ICEAA.2009.5297360",

language = "English",

pages = "600--603",

booktitle = "[Host publication title missing]",

note = "International Conference on Electromagnetics in Advanced Applications (ICEAA), 2009 ; Conference date: 14-09-2009 Through 18-09-2009",

}

TY - GEN

T1 - Physical bounds and sum rules in scattering and antenna theory

AU - Gustafsson, Mats

AU - Kristensson, Gerhard

AU - Nordebo, Sven

AU - Larsson, Christer

AU - Bernland, Anders

AU - Sjöberg, Daniel

PY - 2009

Y1 - 2009

N2 - The objective of this paper is to review some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on identities for Herglotz functions that relate the quantity of interest integrated over all wavelengths with its static polarizability dyadics. They are transformed to physical bounds by applying variational principles for the polarizability dyadics together with various estimates of the integrals. The theoretical findings are exemplified by numerical results for several configurations.

AB - The objective of this paper is to review some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on identities for Herglotz functions that relate the quantity of interest integrated over all wavelengths with its static polarizability dyadics. They are transformed to physical bounds by applying variational principles for the polarizability dyadics together with various estimates of the integrals. The theoretical findings are exemplified by numerical results for several configurations.

U2 - 10.1109/ICEAA.2009.5297360

DO - 10.1109/ICEAA.2009.5297360

M3 - Paper in conference proceeding

SP - 600

EP - 603

BT - [Host publication title missing]

T2 - International Conference on Electromagnetics in Advanced Applications (ICEAA), 2009

Y2 - 14 September 2009 through 18 September 2009

ER -

Physical bounds and sum rules in scattering and antenna theory

Abstract

Conference

Subject classification (UKÄ)

Access to Document

Fingerprint

Cite this