Wave Propagation through an Array of Slits

TL;DR

This paper theoretically investigates wave propagation through an array of slits, deriving asymptotic expansions and analyzing eigenmodes to understand waveguide properties of opaque mask arrays.

Contribution

It introduces a novel theoretical framework for analyzing waveguides made of opaque masks using asymptotic expansion and eigenmode estimation.

Findings

Asymptotic expansion of matrix elements matches numerical results

Eigenmodes and eigenvalues of the propagation operator are estimated

Insights into waveguide properties of opaque mask arrays are provided

Abstract

Propagation of a wave through an array of slits is theoretically investigated. The asymptotic expansion of the matrix elements of the propagation operator is derived and compared with numerical calculations. And then the eigenmodes and eigenvalues of the propagation operator are estimated. Our analysis should provide an insight into the properties of waveguides composed of opaque masks that have been proposed recently.