LIGHT SCATTERING ON A CHAIN OF CYLINDERS IN QUASISTATIC APPROXIMATION
A.S. Bereza, D.A. Shapiro
Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: plane wave scattering, array of parallel cylinders, quasi-static approximation, conformal mapping, plasmon resonance
Abstract
The subwavelength scattering of a plane electromagnetic wave normally incident onto an array of parallel cylinders is considered. If the wavelength is much longer than the lattice period, then a quasi-static approximation can be used. The solution for the electric field potential is presented as a series of the Laplace operator eigenfunctions. To find the coefficients of the series, a conformal mapping that drastically simplifies the boundary conditions is used. The result of solving the Laplace equation by the conformal mapping method is compared to the calculation of the wave problem in the COMSOL® Multiphysics. The quantitative difference between the electric field intensities obtained is less than 1% at a wavelength 60 times greater than the grating period.
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