Vertical mode expansion method for transmission of light through a single circular hole in a slab

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Original languageEnglish
Pages (from-to)293-300
Journal / PublicationJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number2
Online published20 Jan 2014
Publication statusPublished - 1 Feb 2014


An efficient method is developed for rigorously analyzing the scattering of light by a layered circular cylindrical object in a layered background, and it is applied to the study of the transmission of light through a subwavelength hole in a metallic film, where the hole may be filled by a dielectric material. The method relies on expanding the electromagnetic field (subtracted by one-dimensional solutions of the layered media) in one-dimensional modes, where the expansion "coefficients" are functions satisfying two-dimensional Helmholtz equations. A system of equations is established on the boundary of the circular cylinder to solve the expansion "coefficients." The method effectively reduces the original three-dimensional scattering problem to a two-dimensional problem on the boundary of the cylinder. © 2014 Optical Society of America.

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