caa a22 4500 445878029 CHVBK 20180317145533.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11081-010-9112-4 doi (NATIONALLICENCE)springer-10.1007/s11081-010-9112-4 Optimization of transmission spectra through periodic aperture arrays [Elektronische Daten] [David Dobson, Eddie Wadbro] 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. Springer Science+Business Media, LLC, 2010 Optimization nationallicence Subwavelength apertures nationallicence Resonantly enhanced transmission nationallicence Dobson David Department of Mathematics, University of Utah, 84112-0090, Salt Lake City, UT, USA aut Wadbro Eddie Department of Computing Science, Umeå University, 901 87, Umeå, Sweden aut Optimization and Engineering Springer US; http://www.springer-ny.com 12/4(2011-12-01), 509-534 1389-4420 12:4<509 2011 12 11081 https://doi.org/10.1007/s11081-010-9112-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11081-010-9112-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dobson David Department of Mathematics, University of Utah, 84112-0090, Salt Lake City, UT, USA aut NATIONALLICENCE 700 1- Wadbro Eddie Department of Computing Science, Umeå University, 901 87, Umeå, Sweden aut NATIONALLICENCE 773 0- Optimization and Engineering Springer US; http://www.springer-ny.com 12/4(2011-12-01), 509-534 1389-4420 12:4<509 2011 12 11081 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer