Indian Journal of Science and Technology

Abstract

We analyze two- and three-dimensional Photonic Crystal Slabs by calculating effective refractive index and out of plane losses. According to the physical properties ofthe photonic crystal such as lattice constant, structure, material and the holes radius, versus wavelength; we analyze the transmission in the slabs. In addition, in 2D photonic crystal slabs, the incident light will be controlled in third dimension by interior reflection; therefore, we simulate a photonic crystal waveguide by using Finite Element Method as a special method to solve physical problems mathematically. We decline dimension of our simulation in two-dimension and calculate its effective refractive index. In addition, we will add this index in 3D photonic crystal simulation as a waveguide like experimental samples and calculate effective refractive index of other layers again. Then, we set these effective refractive indexes in 3D photonic crystal waveguide and introduce an optimized model to validate our model transmission versus wavelength is plotted two and three dimension photonic crystal waveguide and the results of these two models are comprised and have a good agreement in 2 and 3 dimension. Therefore, it will be effective in construction of optoelectronic devices.
Keywords: Effective Refractive Index, Finite Element Method, Light Emitting Diodes, 3D Photonic Crystal, Waveguide