Study of transmittance spectra for quaternary periodic structure of 1D photonic crystal for s-wave filter

Vishal Kumar Singh; Seema Srivastava; Isht Vibhu

doi:10.17485/IJST/v13i15.24

Article

Study of transmittance spectra for quaternary periodic structure of 1D photonic crystal for s-wave filter

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v13i15.24

Year: 2020, Volume: 13, Issue: 15, Pages: 1580-1588

Original Article

Study of transmittance spectra for quaternary periodic structure of 1D photonic crystal for s-wave filter

Vishal Kumar Singh^1*, Seema Srivastava², Isht Vibhu³

¹Research scholar, Department of Physics, Integral University, Lucknow, 226026, U.P, India.
Tel.: 91-945-323-2699.
²Associate Professor, Department of Physics, Integral University, Lucknow, 226026, U.P, India.
³Associate Professor, Department of Physics, Y.D.P.G college, Lakhimpur Kheri, 262701, U.P, India.

*Corresponding author
Vishal Kumar Singh
Research scholar, Department of Physics, Integral University, Lucknow, 226026, U.P, India.
Tel.: 91-945-323-2699
Email: [email protected]

Received Date:27 March 2020, Accepted Date:24 April 2020, Published Date:04 June 2020

This work is licensed under a Creative Commons Attribution 4.0 International License.

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

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Copyright

© 2020 Singh, Srivastava, Vibhu. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Published By Indian Society for Education and Environment (iSee)