Physical bounds on the all-spectrum transmission through periodic arraysM. Gustafsson1, C. Sohl1, C. Larsson1, 2 and D. Sjöberg1
1 Department of Electrical and Information Technology, Lund University - Lund, Sweden, EU
2 Saab Bofors Dynamics AB - Linköping, Sweden, EU
received 8 May 2009; accepted in final form 21 July 2009; published August 2009
published online 27 August 2009
We show that the blockage in transmission of a screen with a periodic microstructure integrated over all wavelengths is bounded by the static polarizability per unit area of the screen. Physical bounds on the co-polarized transmission coefficient over a wavelength interval are presented using only information from the zero-frequency properties of the microstructure. The theoretical results are compared to and verified by measurements on a screen composed of a large number of split ring resonators printed on a dielectric substrate.
41.20.Jb - Electromagnetic wave propagation; radiowave propagation.
61.05.-a - Techniques for structure determination.
71.15.-m - Methods of electronic structure calculations.
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