Abstract
Two-dimensional metamaterial photonic crystals (2DMPCs) composed of dispersive metamaterials in a positive-refractive-index medium were investigated by incorporating finite-difference time-domain calculations into the auxiliary differential equation method. A distinct band gap was formed and the effects of positional and size disorder when the dispersive metamaterials are aligned in air were elucidated. In addition, using the self-consistent finite-difference frequency-domain method, an eigenmode analysis of 2DMPCs with positional disorder was performed. Finally, a numerical method for the inverse design of binary random metamaterial multilayers was proposed.
Highlights
Electromagnetic wave propagation in negative-refractiveindex materials embedded within positive-refractive-index materials is attracting significant interest because it raises fundamental questions about the physical properties of electromagnetic waves [1,2,3,4,5]
I numerically analyzed the effects of randomness in metamaterial composite systems, in which the metamaterials are embedded within a positiverefractive-index medium
In comparison to the behavior of conventional photonic crystals, the band gap of the 2 Two-dimensional metamaterial photonic crystals (2DMPCs) system was found to be less sensitive to the disorder of the system
Summary
Electromagnetic wave propagation in negative-refractiveindex materials embedded within positive-refractive-index materials is attracting significant interest because it raises fundamental questions about the physical properties of electromagnetic waves [1,2,3,4,5]. In early studies on the topic, one-dimensional multilayers consisting of alternating slabs of positive- and negative-refractive-index materials [6] and two-dimensional metamaterial photonic crystals (2DMPCs) [7,8,9] were investigated. Materials usually exhibit some degree of disorder This positional disorder can have a significant impact on properties such as the photonic density of states (DOS) of photonic crystals (PhCs) as well as the performance of PhC-based devices. I incorporated finite-difference timedomain calculations into the auxiliary differential equation (ADE-FDTD) method to analyze a 2DMPC composed of an array of circular rods with disorder. Using the self-consistent FDFD method, an eigenmode analysis of a 2DMPC with positional disorder was performed.
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