Abstract

We investigate theoretically the possibility to control the optical transmission in the visible and infrared regions by a defective one dimensional photonic crystal formed by a combination of a finite isotropic superlattice and an anisotropic defect layer. The Green's function approach has been used to derive the reflection and the transmission coefficients, as well as the densities of states of the optical modes. We evaluate the delay times of the localized modes and we compare their behavior with the total densities of states. We show that the birefringence of an anisotropic defect layer has a significant impact on the behavior of the optical modes in the electromagnetic forbidden bands of the structure. The amplitudes of the defect modes in the transmission and the delay time spectrum, depend strongly on the position of the cavity layer within the photonic crystal. The anisotropic defect layer induces transmission zeros in one of the two components of the transmission as a consequence of a destructive interference of the two polarized waves within this layer, giving rise to negative delay times for some wavelengths in the visible and infrared light ranges. This property is a typical characteristic of the anisotropic photonic layer and is without analogue in their counterpart isotropic defect layers. This structure offers several possibilities for controlling the frequencies, transmitted intensities and the delay times of the optical modes in the visible and infrared regions. It can be a good candidate for realizing high-precision optical filters.

Highlights

  • Photonic Crystals (PCs) have attracted a great deal of attention during the last two decades [1,2,3] due to their potential applications in optoelectronic and optical communications [4,5,6,7,8,9,10,11,12,13,14,15,16]

  • We investigate theoretically the possibility to control the optical transmission in the visible and infrared regions by a defective one dimensional photonic crystal formed by a combination of a finite isotropic superlattice and an anisotropic defect layer

  • We are interested to some optical transmission properties of the defect modes such as: the transmission delay times and the behavior of total densities of states (DOS) in the visible and infrared regions of a defective one dimensional photonic crystal constituted by a combination of a finite isotropic superlattice (SL) and a dielectric anisotropic defect layer

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Summary

Introduction

Photonic Crystals (PCs) have attracted a great deal of attention during the last two decades [1,2,3] due to their potential applications in optoelectronic and optical communications [4,5,6,7,8,9,10,11,12,13,14,15,16]. Several works have investigated the optical and microwave properties of defect modes in 1D isotropic dielectric PCs. Liu et al [10] have studied a 1D PC structure consisting of alternate layers of Ta2O5 and MgF2 films with a defect layer in the visible region. We are interested to some optical transmission properties of the defect modes such as: the transmission delay times and the behavior of total densities of states (DOS) in the visible and infrared regions of a defective one dimensional photonic crystal constituted by a combination of a finite isotropic superlattice (SL) and a dielectric anisotropic defect layer.

Theoretical model
Numerical results and discussion
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