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

JOSA A, Vol. 31, Issue 2, pp. 293-300 (2014)

http://dx.doi.org/10.1364/JOSAA.31.000293

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### Abstract

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

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(050.1755) Diffraction and gratings : Computational electromagnetic methods

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: November 13, 2013

Manuscript Accepted: December 12, 2013

Published: January 20, 2014

**Citation**

Xun Lu, Hualiang Shi, and Ya Yan Lu, "Vertical mode expansion method for transmission of light through a single circular hole in a slab," J. Opt. Soc. Am. A **31**, 293-300 (2014)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-2-293

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