Coupling Analysis of Electromagnetic Field Transverse Magnetic (TM) on 2D Photonic Crystals with Symmetrical Refractive Index Defect Using Tensor Green Method

TL;DR

This paper investigates electromagnetic coupling in 2D photonic crystals with symmetrical refractive index defects using the tensor Green method, revealing that maximum energy transfer occurs at mid-bandgap frequencies.

Contribution

It introduces a Green tensor-based approach to analyze EM field coupling in 2D photonic crystals with symmetrical defects, enhancing understanding of energy transfer mechanisms.

Findings

Maximum energy transfer occurs at mid-bandgap frequencies.

Green tensor method effectively visualizes electric fields in 2D photonic crystals.

Coupling strength depends on defect symmetry and frequency.

Abstract

Photonic crystal is a dielectric material which has a refractive index or permittivity which vary periodically, thus preventing the propagation of light with specific frequency and direction. The frequency range is called a photonic bandgap (PBG). If the structure of photonic crystals is modified by taking one line of rod in a photonic crystal is obtained a waveguide. Giving structures with symmetrical defects around the waveguide channel with the parameters given occurs coupling between the waveguide and cavity. Coupling indicates transfer part or all of the EM field depends on the frequency of EM field in the photonic crystal. Green tensor method can be used to calculate the total electric field in a 2D photonic crystal. With the aid of MATLAB programs can be shown to the powerful visualization calculation of the total electrical field in 2D photonic crystals. Based on analysis of the literature and the bandgap graphic and the field energy in the defects show that effective frequency which produces maximum energy when coupling occur was in the mid-bandgap frequency interval.