Authors: | Bouchitté, Guy Schweizer, Ben |
Title: | Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings |
Language (ISO): | en |
Abstract: | We perform a mathematical analysis of the transmission properties of a metallic layer with narrow slits. Our analysis is inspired by recent measurements and numerical calculations that report an unexpected high transmission coefficient of such a structure in a subwavelength regime. We analyze the time harmonic Maxwell’s equations in the H-parallel case for a fixed incident wavelength. Denoting by ? the typical size of the grated structure, we analyze the limit n -> 0 and derive effective equations that take into account the role of plasmonic waves. We obtain a formula for the effective transmission coefficient. |
Subject Headings: | effective tensor Helmholtz equation homogenization plasmonic wave resonance scattering |
URI: | http://hdl.handle.net/2003/29229 http://dx.doi.org/10.17877/DE290R-3068 |
Issue Date: | 2011-12-19 |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint-2011-14.pdf | 363.02 kB | Adobe PDF | View/Open |
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