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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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
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.
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.
F. Wen, S. David, X. Checoury, M. El Kurdi, and P. Boucaud, “Two-dimensional photonic crystals with large complete photonic band gaps in both TE and TM polarizations,” Opt. Express, 16, 12278 (2008).
E. Yablonovitch, “Photonic crystals: What’s in a Name?,” Opt. Photonics News, 18, 12–13 (2007).
E. Yablonovitch, “Photonic Band-Gap Crystals,” J. Physics-Condensed Matter, 5, 2443–2460 (1993).
E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett., 58, 2059–2062 (1987).
K. Arunachalam and S. C. Xavier, “Optical Logic Devices Based on Photonic Crystal,” Intech (2010).
J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic crystals: molding the flow of light, 2nd ed. (Princeton University Press, 2008).
I. A. Sukhoivanov and I. V. Guryev, Photonic Crystals Physics and Practical Modeling (Springer, 2005).
M. Skorobogatiy and J. Yang, Fundamentals of Photonic Crystal Guiding (Cambridge, 2008).
J. D. Joannopoulos, J. N. Winn, and R. D. Meade, Photonic crystals: molding the flow of light, 1st ed. (Princeton University Press, 1995).
S. McCall, P. Platzman, R. Dalichaouch, D. Smith, and S. Schultz, “Microwave propagation in two-dimensional dielectric lattices,” Phys. Rev. Lett., vol. 67, no. 15, pp. 2017–2020, Oct. 1991.
A. Taflove, S. C. Hagness, and K. S. Yee, Computationai Electrodynamics: The Finite-Difference Time-Domain Method, vol. 14, no. 3. 1966.
D. J. Griffiths, Introduction to Electrodynamics, Third edit. Prentice-Hall, 1999.
S. Shi, C. Chen, and D. W. Prather, “Plane-wave expansion method for calculating band structure of photonic crystal slabs with perfectly matched layers,” J. Opt. Soc. Am. A, vol. 21, no. 9, p. 1769, 2004.
R. Antos and M. Veis, “Fourier Factorization in the Plane Wave Expansion Method in Modeling Photonic Crystals,” in Photonic Crystals - Introduction, Applications and Theory, no. 1, 2012, pp. 319–344.
C. Jamois, R. B. Wehrspohn, L. C. Andreani, C. Hermann, O. Hess, and U. Gösele, “Silicon-based two-dimensional photonic crystal waveguides,” Photonics Nanostructures - Fundam. Appl., vol. 1, no. 1, pp. 1–13, 2003.
Kazuaki Sakoda, “Optical Properties of Photonic Crystals”, 2nd ed., (Springer 2005).
Salwa, F. A., Rahman, M. M., Rahman, M. O. and Chowdhury, M. A. M. (2019) Germanium Based Two-Dimensional Photonic Crystals: The Hexagonal and Honeycomb Lattices. Optics and Photonics Journal, 9, 25-36. https://doi.org/10.4236/opj.2019.93004.
K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett., vol. 65, no. 25, 1990.