Analysis of microwave propagation in arrays of dielectric cylinders

TL;DR

This paper rigorously analyzes microwave propagation and scattering in dielectric cylinder arrays, comparing theoretical results with experiments, revealing localized states in defected arrays, but not confirming previous experimental claims.

Contribution

It provides a rigorous computational approach to microwave scattering in dielectric arrays and clarifies the existence of localized states, contrasting with prior experimental claims.

Findings

Agreement with experimental transmission coefficients within certain frequencies

Localized states are possible in defected arrays

Experimental claims of localized states are not confirmed

Abstract

We rigorously compute the propagation and scattering of microwaves by regular and defected arrays of dielectric cylinders in a uniform medium. Comparison with the previous experimental results is made, yielding agreements in the transmission coefficients for a certain range of frequencies. The results also show that localized states are possible for defected arrays. However, the experimentally claimed localized states are not observed. Moreover, comparison is made with previous theoretical results. The agreements and differences are pointed out.