Optimal realizations of passive structures
Nordebo, Sven LU ; Gustafsson, Mats LU
; Nilsson, Börje
and Sjöberg, Daniel
LU
(2014)
In IEEE Transactions on Antennas and Propagation
62(9).
p.4686-4694
- Abstract
- This paper presents a convex optimization approach to study optimal realizations of passive electromagnetic structures. The optimization approach complements recently developed theory and techniques to derive sum rules and physical limitations for passive systems operating over a given bandwidth. The sum rules are based solely on the analytical properties of the corresponding Herglotz functions. However, the application of sum rules is limited by certain assumptions regarding the low- and high-frequency asymptotic behavior of the system, and the sum rules typically do not give much information towards an optimal realization of the passive system at hand. In contrast, the corresponding convex optimization problem is formulated to explicitly... (More)
- This paper presents a convex optimization approach to study optimal realizations of passive electromagnetic structures. The optimization approach complements recently developed theory and techniques to derive sum rules and physical limitations for passive systems operating over a given bandwidth. The sum rules are based solely on the analytical properties of the corresponding Herglotz functions. However, the application of sum rules is limited by certain assumptions regarding the low- and high-frequency asymptotic behavior of the system, and the sum rules typically do not give much information towards an optimal realization of the passive system at hand. In contrast, the corresponding convex optimization problem is formulated to explicitly generate a Herglotz function as an optimal realization of the passive structure. The procedure does not require any additional assumptions on the low- and high frequency asymptotic behavior, but additional convex constraints can straightforwardly be incorporated in the formulation. Typical application areas are concerned with antennas, periodic structures, material responses, scattering, absorption, reflection, and extinction. In this paper, we consider three concrete examples regarding dispersion compensation for waveguides, passive metamaterials and passive radar absorbers. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4612100
- author
- Nordebo, Sven
LU
; Gustafsson, Mats
LU
; Nilsson, Börje
and Sjöberg, Daniel
LU
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- convex optimization, sum rules, physical limitations, Herglotz functions
- in
- IEEE Transactions on Antennas and Propagation
- volume
- 62
- issue
- 9
- pages
- 4686 - 4694
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000341980900027
- scopus:84913580326
- ISSN
- 0018-926X
- DOI
- 10.1109/TAP.2014.2336694
- project
- EIT_CACO-EMD Complex analysis and convex optimization for EM design
- language
- English
- LU publication?
- yes
- id
- cbca32a8-dc99-479b-be77-1abc2741afda (old id 4612100)
- date added to LUP
- 2016-04-01 13:33:50
- date last changed
- 2022-02-11 21:47:59
@article{cbca32a8-dc99-479b-be77-1abc2741afda,
abstract = {{This paper presents a convex optimization approach to study optimal realizations of passive electromagnetic structures. The optimization approach complements recently developed theory and techniques to derive sum rules and physical limitations for passive systems operating over a given bandwidth. The sum rules are based solely on the analytical properties of the corresponding Herglotz functions. However, the application of sum rules is limited by certain assumptions regarding the low- and high-frequency asymptotic behavior of the system, and the sum rules typically do not give much information towards an optimal realization of the passive system at hand. In contrast, the corresponding convex optimization problem is formulated to explicitly generate a Herglotz function as an optimal realization of the passive structure. The procedure does not require any additional assumptions on the low- and high frequency asymptotic behavior, but additional convex constraints can straightforwardly be incorporated in the formulation. Typical application areas are concerned with antennas, periodic structures, material responses, scattering, absorption, reflection, and extinction. In this paper, we consider three concrete examples regarding dispersion compensation for waveguides, passive metamaterials and passive radar absorbers.}},
author = {{Nordebo, Sven and Gustafsson, Mats and Nilsson, Börje and Sjöberg, Daniel}},
issn = {{0018-926X}},
keywords = {{convex optimization; sum rules; physical limitations; Herglotz functions}},
language = {{eng}},
number = {{9}},
pages = {{4686--4694}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Antennas and Propagation}},
title = {{Optimal realizations of passive structures}},
url = {{http://dx.doi.org/10.1109/TAP.2014.2336694}},
doi = {{10.1109/TAP.2014.2336694}},
volume = {{62}},
year = {{2014}},
}