Optimal realizations of passive structures
Författare
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.
Publiceringsår
2014
Språk
Engelska
Sidor
4686-4694
Publikation/Tidskrift/Serie
IEEE Transactions on Antennas and Propagation
Volym
62
Issue
9
Dokumenttyp
Artikel i tidskrift
Förlag
IEEE - Institute of Electrical and Electronics Engineers Inc.
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Nyckelord
- convex optimization
- sum rules
- physical limitations
- Herglotz functions
Status
Published
Projekt
- EIT_CACO-EMD Complex analysis and convex optimization for EM design
Forskningsgrupp
- Electromagnetic theory
ISBN/ISSN/Övrigt
- ISSN: 0018-926X