Germanium Based Two-Dimensional Photonic Crystals with Square Lattice
American Journal of Optics and Photonics
Volume 7, Issue 1, March 2019, Pages: 10-17
Received: Mar. 11, 2019; Accepted: Apr. 26, 2019; Published: May 15, 2019
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Authors
Fairuz Aniqa Salwa, Department of Physics, Jahangirnagar University, Savar, Dhaka, Bangladesh
Muhammad Mominur Rahman, Department of Physics, Jahangirnagar University, Savar, Dhaka, Bangladesh
Muhammad Obaidur Rahman, Department of Physics, Jahangirnagar University, Savar, Dhaka, Bangladesh
Muhammad Abdul Mannan Chowdhury, Department of Physics, Jahangirnagar University, Savar, Dhaka, Bangladesh
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Abstract
Using the plane-wave expansion method, we study the polarization-dependent photonic band diagrams (transverse electric and transverse magnetic polarizations), surface plots, gap maps etc. of the two-dimensional photonic crystals with square lattice of germanium rods in air and vice versa. The obtained graphs for the two possible combinations are presented in this paper. All the results depict clear photonic band gaps. We describe the conditions for the largest TE and TM band gaps too. The square lattice of Ge rods in air offers a large TE photonic band gap of 48.02% (for rod radius of r = 0.2μm). Then we localize the TE mode by introducing a point defect and a line defect in the crystal. The point defect act as a resonator and the line defect act as a waveguide. The finite-difference time-domain analysis of the localized defect modes is presented also.
Keywords
Photonic Crystals, Transverse Electric Modes, Transverse Magnetic Modes, Plane Wave Expansion Method, Finite Difference Time Domain Method, Photonic Band Diagram, Gap Map, Square Lattice
To cite this article
Fairuz Aniqa Salwa, Muhammad Mominur Rahman, Muhammad Obaidur Rahman, Muhammad Abdul Mannan Chowdhury, Germanium Based Two-Dimensional Photonic Crystals with Square Lattice, American Journal of Optics and Photonics. Vol. 7, No. 1, 2019, pp. 10-17. doi: 10.11648/j.ajop.20190701.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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