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Optimal Realizations of Passive Structures
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-7018-6248
Lund University.
Linnaeus University, Faculty of Technology, Department of Mathematics.
Lund University.
2014 (English)In: IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, E-ISSN 1558-2221, Vol. 62, no 9, 4686-4694 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 62, no 9, 4686-4694 p.
Keyword [en]
Convex optimization, dispersion relations, Herglotz functions, passive realization, positive real functions, sum rules
National Category
Telecommunications
Research subject
Technology (byts ev till Engineering)
Identifiers
URN: urn:nbn:se:lnu:diva-37855DOI: 10.1109/TAP.2014.2336694ISI: 000341980900027OAI: oai:DiVA.org:lnu-37855DiVA: diva2:758934
Available from: 2014-10-28 Created: 2014-10-24 Last updated: 2017-03-08Bibliographically approved

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Nordebo, SvenNilsson, Börje
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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