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Optimization of transmission spectra through periodic aperture arrays
Department of Mathematics, University of Utah, Salt Lake City, USA.
Umeå University, Faculty of Science and Technology, Department of Computing Science. (Design Optimization, UMIT)
2011 (English)In: Optimization and Engineering, ISSN 1389-4420, E-ISSN 1573-2924, Vol. 12, no 4, 509-534 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the problem of designing periodic aperture arrays in a thin, perfect electric conductor, such that transmission energy of time-harmonic electromagnetic plane waves through the apertures attains a specified profile with respect to frequency. We first formulate a mathematical model for the electromagnetic transmission problem, and describe a regularized numerical discretization. We then formulate the design problem as a mathematical optimization in which an objective is minimized with respect to a discrete characteristic function describing aperture shape and topology. A level-set method combined with a filtering technique and a gradient-based minimization algorithm numerically solves the problem. Several numerical examples are presented which show that although it is possible to obtain improved transmission spectra, the problem is underposed and subject to numerical instability.

Place, publisher, year, edition, pages
Springer , 2011. Vol. 12, no 4, 509-534 p.
Keyword [en]
optimization, subwavelength apertures, resonantly enhanced
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-40278DOI: 10.1007/s11081-010-9112-4OAI: oai:DiVA.org:umu-40278DiVA: diva2:399131
Available from: 2011-02-21 Created: 2011-02-21 Last updated: 2017-12-11Bibliographically approved

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Wadbro, Eddie

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