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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)
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organization
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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
2014-09-04 12:14:19
date last changed
2017-04-09 03:54:10
@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},
  keyword      = {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},
  volume       = {62},
  year         = {2014},
}