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Herglotz functions and applications in electromagnetics

Nedic, Mitja ; Ehrenborg, Casimir LU orcid ; Ivanenko, Yevhen LU ; Ludvig-Osipov, Andrei ; Nordebo, Sven LU ; Luger, Annemarie LU ; Jonsson, Lars ; Sjöberg, Daniel LU orcid and Gustafsson, Mats LU orcid (2021) p.491-514
Abstract

Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.

Please use this url to cite or link to this publication:
author
; ; ; ; ; ; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Electromagnetic phenomena, Electromagnetic wave scattering, Herglotz functions, Passive systems
host publication
Advances in Mathematical Methods for Electromagnetics
pages
24 pages
publisher
Institution of Engineering and Technology
external identifiers
  • scopus:85114011808
ISBN
9781785613845
DOI
10.1049/SBEW528E_ch20
language
English
LU publication?
yes
id
3fb6c122-e39e-4512-8867-f4567797476c
date added to LUP
2021-09-21 15:09:36
date last changed
2024-05-04 12:40:12
@inbook{3fb6c122-e39e-4512-8867-f4567797476c,
  abstract     = {{<p>Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.</p>}},
  author       = {{Nedic, Mitja and Ehrenborg, Casimir and Ivanenko, Yevhen and Ludvig-Osipov, Andrei and Nordebo, Sven and Luger, Annemarie and Jonsson, Lars and Sjöberg, Daniel and Gustafsson, Mats}},
  booktitle    = {{Advances in Mathematical Methods for Electromagnetics}},
  isbn         = {{9781785613845}},
  keywords     = {{Electromagnetic phenomena; Electromagnetic wave scattering; Herglotz functions; Passive systems}},
  language     = {{eng}},
  pages        = {{491--514}},
  publisher    = {{Institution of Engineering and Technology}},
  title        = {{Herglotz functions and applications in electromagnetics}},
  url          = {{http://dx.doi.org/10.1049/SBEW528E_ch20}},
  doi          = {{10.1049/SBEW528E_ch20}},
  year         = {{2021}},
}