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

作者：Xun Lu, Hualiang Shi, Ya Yan Lu · 发表于：Journal of the Optical Society of America A · 年份：2014 · DOI：10.1364/josaa.31.000293 · 被引用次数：24 · 研究领域：Photonic Crystals and Applications、Optical Coatings and Gratings、Near-Field Optical Microscopy

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.