Herglotz functions and applications in electromagnetics
(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:
https://lup.lub.lu.se/record/3fb6c122-e39e-4512-8867-f4567797476c
- author
- Nedic, Mitja ; Ehrenborg, Casimir LU ; Ivanenko, Yevhen LU ; Ludvig-Osipov, Andrei ; Nordebo, Sven LU ; Luger, Annemarie LU ; Jonsson, Lars ; Sjöberg, Daniel LU and Gustafsson, Mats LU
- organization
- publishing date
- 2021
- 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}}, }