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Optimal realizations of passive structures

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Author

Summary, in English

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.

Publishing year

2014

Language

English

Pages

4686-4694

Publication/Series

IEEE Transactions on Antennas and Propagation

Volume

62

Issue

9

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Keywords

  • convex optimization
  • sum rules
  • physical limitations
  • Herglotz functions

Status

Published

Project

  • EIT_CACO-EMD Complex analysis and convex optimization for EM design

Research group

  • Electromagnetic theory

ISBN/ISSN/Other

  • ISSN: 0018-926X