Abstract

A spectral element method together with a surface integral equation as the radiation boundary condition is used to simulate the scattering properties of periodic subwavelength slits. The surface integral equation utilizes the periodic Green’s function in the wave number space and is solved by the method of moments, while the interior inhomogeneous medium is modeled by the spectral element method. The solution convergence is found to be exponential; i.e., the error decreases exponentially with the order of basis functions. To our knowledge, such a fast solver with spectral accuracy is new in the scattering problem of periodic structures. Scattering properties of a gold slit grid within the whole wavelength-incidence angle parameter space are investigated, with the confirmation that strong transmission of light through subwavelength slits is achievable.

© 2010 Optical Society of America

Extraordinary transmission of a thick film with a periodic structure consisting of strongly dispersive materials

Ma Luo and Qing Huo Liu
J. Opt. Soc. Am. B 28(4) 629-636 (2011)

Spectral element boundary integral method with periodic layered medium dyadic Green’s function for multiscale nano-optical scattering analysis

Jun Niu, Yi Ren, and Qing Huo Liu
Opt. Express 25(20) 24199-24214 (2017)

Observation of enhanced transmission for s-polarized light through a subwavelength slit

M. Guillaumée, A. Yu. Nikitin, M. J. K. Klein, L. A. Dunbar, V. Spassov, R. Eckert, L. Martín-Moreno, F. J. García-Vidal, and R. P. Stanley
Opt. Express 18(9) 9722-9727 (2010)

Effect of groove periodicity on the enhanced transmission through a single subwavelength slit

Zu-Bin Li, Jian-Guo Tian, Wen-Yuan Zhou, Zhi-Bo Liu, and Wei-Ping Zang
J. Opt. Soc. Am. B 23(8) 1517-1523 (2006)

Multilevel Green's function interpolation method for analysis of 3-D frequency selective structures using volume/surface integral equation

Yan Shi and Chi Hou Chan
J. Opt. Soc. Am. A 27(2) 308-318 (2010)