The band structures of three-dimensional nonlinear plasma photonic crystals

Hai-Feng Zhang

doi:10.1063/1.5007900

Abstract

In this paper, the properties of the photonic band gaps (PBGs) for three-dimensional (3D) nonlinear plasma photonic crystals (PPCs) are theoretically investigated by the plane wave expansion method, whose equations for calculations also are deduced. The configuration of 3D nonlinear PPCs is the Kerr nonlinear dielectric spheres (Kerr effect is considered) inserted in the plasma background with simple-cubic lattices. The inserted dielectric spheres are Kerr nonlinear dielectrics whose relative permittivities are the functions of the external light intensity. Three different Kerr nonlinear dielectrics are considered, which can be expressed as the functions of space coordinates. The influences of the parameters for the Kerr nonlinear dielectrics on the PBGs also are discussed. The calculated results demonstrate that the locations, bandwidths and number of PBGs can be manipulated with the different Kerr nonlinear dielectrics. Compared with the conventional 3D dielectric PCs and PPCs with simple-cubic lattices, the more PBGs or larger PBG can be achieved in the 3D nonlinear PPCs. Those results provide a new way to design the novel devices based on the PPCs.

Highlights

As a concept emerged in 2004, the plasma photonic crystals (PPCs) have been extensively studied in experiment and theory since such an idea was firstly proposed by Hojo and co-workers.[1]
The aim of this paper is to study theoretically the properties of 3D nonlinear PPCs by a modified plane wave expansion method with a meshed grid technique, whose configuration is the Kerr nonlinear dielectric spheres inserted into the plasma background with simple-cubic lattices
Three different kinds of Kerr nonlinear dielectrics are used to investigate the properties of 3D nonlinear PPCs

Summary

Introduction

As a concept emerged in 2004, the plasma photonic crystals (PPCs) have been extensively studied in experiment and theory since such an idea was firstly proposed by Hojo and co-workers.[1]. The PPCs have attracted tremendous research interest over the past ten years During this time, the properties of one-dimensional (1D) and two-dimensional (2D) PPCs have been fully studied by the researchers, whose band structures display strong spatial dispersion.[9,10,11] Compared with the similar conventional dielectric PCs, the advanced features can be observed in the PPCs, such as the enlarged PBGs,[12] the tunable defect modes,[13] magnetic tuning characteristics of PBGs14 and the obtained complicated EM modes in the different magneto-optical effects of magnetized PPCs.[15] Recently, the properties of three-dimensional PPCs were investigated by Zhang et al.,[15,16,17] and they found that the tunable

Objectives

Results

Conclusion