Light Scattering From Two-Dimensional Periodic Arrays of Noble-Metal Disks and Complementary Circular Apertures

Abstract

Abstract-Numerical solution is presented for light scattering from two kinds of free-standing periodic arrays, that is, disks made of noble-metal and circular apertures perforated in a thin noble-metal sheet. The shapes of them are complementary to each other, and the circular areas are allocated along two orthogonal coordinates with the same periodicity. Using the generalized boundary conditions of the surface impedance type, we formulate the boundary value problem into a set of integral equations for unknown electric and magnetic current densities defined over the circular area. Employment of the method of moments allows us to solve the integral equations and give the expansion coefficients of the current densities, from which we can find reflected, transmitted, and absorbed powers. Dependence of the powers on the array parameters and wavelength is discussed in detail from the viewpoint of grating resonance. Special attention is paid to the extraordinary transmission which occurs in the arrays of apertures of sub-wavelength size by analytical derivation of the quasi-static solutions.

Electromagnetic Wave Scattering From an Infinite Periodic Array of Hollow Conducting Circular Cylinders of Finite Length

“…Among them, noble metals such as gold and silver are the object of plasmonics in the visual light range, and the factor of resonance thereat is not only the periodicity and cavity geometry but also the excited plasmon surface waves. The use of impedance type boundary conditions [27] enables us to solve the problem of noble metal cylinders as done for periodically allocated disks [28]. This content will be reported in the near future.…”