Abstract
Objectives: To study the propagation of electromagnetic waves through the four periodic continuous layers with different refractive indices and spectral analysis with normalized frequency with respect to transmittance and dispersion. Methods: By considering the assumptions the theoretical analysis has been done. Methodology has taken from quantum mechanical treatment of an electron in a potential well with boundary conditions. The dispersion relation is taken from Bloach wave concept. The calculation is taken for arbitrary structure of different refractive indices. The electric field has connected with the periodic 1-D layered structure. The electromagnetic wave as form incident wave, the transmitted wave and reflected wave have been derived using the transmission matrix method. Findings: In theoretical analysis, it is found that the transmittance spectra increasing with continuous increase refractive index. The analysis has been done for a s-polarized or transverse electric mode (TE mode) wave. Properties of these crystals are different from the ordinary materials. Applications: It works as s- polarized filter and blocks p-polarized wave. Calculation has taken for TE mode configuration. Keywords: Photonic crystals; Electromagnetic waves; Periodic layered structure
Highlights
With proper application of potential, motion of electron in a dielectric can be controlled
Photonic crystals are emerging in the field of Photonics and are used in different areas such as to control the propagation of light, Singh et al / Indian Journal of Science and Technology 2020;13(15):1580–1588 controlling of signals for a specific frequency
Passing information from one place to another is faster through electromagnetic wave than electronic signals in photonic crystals
Summary
With proper application of potential, motion of electron in a dielectric can be controlled. The electromagnetic wave has electric as well as the magnetic field. These two different fields are responsible for the interaction with materials. Passing information from one place to another is faster through electromagnetic wave than electronic signals in photonic crystals. The idea of ligament model for light has led in the last 40 years in optics and optical technology to a completely new direction that deals with periodically dielectric media and the light propagation busy in it.[2] The novel materials, which have extremely interesting properties, were given the name Photonic Crystal (PC). Its periodicity is of the order of a wavelength It can be constructed by the periodic arrangement of dielectric-dielectric or dielectric-metal materials. The composition of metal and a dielectric layer is said to be metallodielectric photonic crystals[4]
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