The Behavior of Electromagnetic Wave Propagation in Photonic Crystals with or without a Defect

Authors

  • Ayse N. Basmaci Vocational School of Technical Sciences Tekirdag Namik Kemal University, Tekirdag, 59030, Turkey

Keywords:

Central finite differences method, electromagnetic wave propagation, Maxwell’s equations, photonic crystals

Abstract

In this study, the electromagnetic wave propagation behavior of two-dimensional photonic crystal plates with a defect is investigated. For this purpose, the partial differential equation for the electromagnetic wave propagation in various photonic crystal plates containing a defect or not is obtained by using Maxwell’s equations. The defect is also defined in the electromagnetic wave propagation equation appropriately. In order to solve the electromagnetic wave propagation equation, the finite differences method is used. The material property parameters of the photonic crystal plates are determined with respect to the defects. Accordingly, the effects of material property parameters on electromagnetic wave propagation frequencies, phase velocities, and group velocities are examined. The effects of the size and position of the defects on the electromagnetic wave propagation frequencies are also discussed. The highest electromagnetic wave propagation fundamental frequency value obtained from the analyses performed is 1.198 Hz. This fundamental frequency value is obtained for the electromagnetic wave propagation in the t-shaped photonic crystal plate. Electromagnetic field distribution maps for the fundamental frequencies of the photonic crystal plates whose electromagnetic wave propagation behaviors are examined are obtained with the ANSYS package program based on the finite differences time-domain (FDTD) method.

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Author Biography

Ayse N. Basmaci, Vocational School of Technical Sciences Tekirdag Namik Kemal University, Tekirdag, 59030, Turkey

Ayse Nihan Basmaci received her B.Sc., M.Sc. and Ph.D. degrees in Electrical Electronics Engineering from Pamukkale University in 2008, 2011 and 2017, respectively. Between 2008 and 2012, she worked as an Engineer at Turk Telekom Company. She also has been an Assistant Professor at Tekirdag Namik Kemal University, Vocational School of Technical Sciences, in the last 2 years. Her research interests include electromagnetic wave propagation, photonics, advanced materials, computational electromagnetics, electromagnetic fields, electromagnetic waves, and microwave filter design.

References

K. H. Chung, T. Kato, S. Mito, H. Takagi, and M. Inoue, “Fabrication and characteristics of onedimensional magnetophotonic crystals for magnetooptic spatial light phase modulators,” Journal of Applied Physics, vol. 107, pp. 09A930, Apr. 2010.

E. A. Kadomina, E. A. Bezus, and L. L. Doskolovich, “Generation of interference patterns of evanescent electromagnetic waves at Fabry Perot resonances of 1D photonic crystal modes,” in 3rd. International Conference “Information Technology and Nanotechnology,” (ITNT-2017), Samara, pp. 42-47, 2017.

A. M. Singer, A. M. Heikal, H. El-Mikati, S. S. A. Obayya, and M. F. O. Hameed, “Ultra-low loss and flat dispersion circular porous core photonic crystal fiber for terahertz waveguiding,” Applied Computational Electromagnetics Society Journal, vol. 35, no. 6, pp. 709-717, June 2020.

Y. Zhang, Z. Cao, G. Lu, D. Zeng, M. Li, and R. Wang, “Reconfigurable array designed for directional EM propagation using energy band theory of photonic crytals,” Applied Computational Electromagnetics Society Journal, vol. 33, no. 11, pp. 1209-1216, Nov. 2018.

S. Jahani and Z. Jacob, “All-dielectric metamaterials,” Nature Nanotechnology, vol. 11, pp. 23-36, Jan. 2016.

S.-Y. Sung, A. Sharma, A. Block, K. Keuhn, and B. J. H. Stadler, “Magneto-optical garnet waveguides on semiconductor platforms: Magnetics, mechanics, and photonics,” Journal of Applied Physics, vol. 109, pp. 07B738, Mar. 2011.

H. Sun, S. Huang, Q. Wang, S. Wang, and W. Zhao, “Improvement of unidirectional focusing periodic permanent magnet shear-horizontal wave electromagnetic acoustic transducer by oblique bias magnetic field,” Sensors and Actuators A: Physical, vol. 290, pp. 36-47, May 2019.

A. Ayman, S. Prasad, and V. Singh, “Tuning the band structures and electromagnetic density of modes in fused Silica slab by acoustic waves,” Optik – International Journal for Light and Electron Optics, vol. 204, 164105, Feb. 2020.

A. Rostami, H. Kaatuzian, and B. RostamiDogolsara, “Acoustic 1 x 2 demultiplexer based on fluid-fluid phononic crystal ring resonators,” Journal of Molecular Liquids, vol. 308, 113144, Apr. 2020.

A. Rostami, H. Kaatuzian, and B. RostamiDogolsara, “Design and analysis of tunable acoustic channel drop filter based on fluid-fluid phononic crystal ring resonators,” Wave Motion, vol. 101, 102700, Mar. 2021.

A. Trzaskowska, P. Hakonen, M. Wiesner,, and S. Mielcarek, “Generation of a mode in phononic crystal based on 1D/2D structures,” Ultrasonics, vol. 106, 106146, Aug. 2020.

A. Madani and S. R. Entezar, “Tunable enhanced Goos-Hanchen shift in one-dimensional photonic crystals containing graphene monolayers,” Superlattices and Microstructures, vol. 86, pp. 105-110, Oct. 2015.

A. Aghajamali, T. Alamfard, and C. Nayak, “Investigation of reflectance properties in a symmetric defective annular semiconductorsuperconductor photonic crystal with a radial defect layer,” Physica B: Physics of Condensed Matter, 412770, Mar. 2021.

T. Jalali, A. Gharaati, and M. Rastegar, “Enhanced of Faraday rotation in defect modes of onedimensional magnetophotonic crystals,” Materials Science-Poland, vol. 37, no. 3, pp. 446-453, Oct. 2019.

O. V. Shramkova and Y. A. Olkhovskiy, “Electromagnetic wave transmission and reflection by a quasi-periodic layered semiconductor structure,” Physica B: Physics of Condensed Matter, vol. 406, no. 8, pp. 1415-1419, Apr. 2011.

A. N. Basmaci, “Characteristics of electromagnetic wave propagation in a segmented photonic waveguide,” Journal of Optoelectronics and Advanced Materials, vol. 22, no. 9-10, pp. 452- 460, Sep.-Oct. 2020.

H. Wang, Y. Chen, and C. Huang, “The electromagnetic waves propagation characteristics of inhomogeneous dusty plasma,” Optik – International Journal for Light and Electron Optics, vol. 196, 163148, Nov. 2019.

F. Meng, L. Du, A. Yang, and X. Yuan, “Low loss surface electromagnetic waves on a metaldielectric waveguide working at short wavelength and aqueous environment,” Optics Communications, vol. 433, pp. 10-13, Feb. 2019.

A. B. Khanikaev, S. H. Mousavi, C. Wu, N. Dabidian, K. B. Alici, and G. Shvets, “Electromagnetically induced polarization conversion,” Optics Communications, vol. 285, pp. 3423-3427, July 2012.

M. Askari, D. Hutchins, P. J. Thomas, L. Astolfi, R. L. Watson, M. Abdi, M. Ricci, S. Laureti, L. Nie, S. Freear, R. Wildman, C. Tuck, M. Clarke, E. Woods, and A. T. Clare, “Additive manufacturing of metamaterials: A review,” Additive Manufacturing, vol. 36, 101562, Dec. 2020.

K. Bi, Q. Wang, J. Xu, L. Chen, C. Lan, and M. Lei, “All-dielectric metamaterial fabrication techniques,” Advanced Optical Materials, vol. 9, 2001474, Nov. 2021.

T. Gao, H. Sun, Y. Hong, and X. Qing, “Hidden corrosion detection using laser ultrasonic guided waves with multi-frequency local wavenumber estimation,” Ultrasonics, vol. 108, 106182, Dec. 2020.

T. F. Khalkhali and A. Bananej, “Effect of shape of scatterers and plasma frequency on the complete photonic band gap properties of two-dimensional dielectric-plasma photonic crystals,” Physics Letters A, vol. 380, pp. 4092-4099, Dec. 2016.

B. Zamir, R. Ali, and M. Bashir, “Electromagnetic wave propagation in a superconducting parallel plate waveguide filled with an indefinite medium,” Results in Physics, vol. 13, 102312, June 2019.

K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics. CRC Press, London, 1993.

S. Caorsi and G. Cevini, “Assessment of the performances of first- and second-order timedomain ABC’s for the truncation of finite element grids,” Microwave Optical Technology Letters, vol. 38, no. 1, pp. 11-16, May 2003.

J. Li and Z. Zhang, “Unified analysis of time domain mixed finite element methods for Maxwell’s equations in dispersive media,” Journal of Computational Mathematics, vol. 28, no. 5, pp. 693-710, Sep. 2010.

L. Li, B. Wei, Q. Yang, and D. Ge, “Piecewise linear recursive convolution finite element time domain method for electromagnetic analysis of dispersive media,” Optik – International Journal for Light and Electron Optics, vol. 198, 163196, Dec. 2019.

S. Elshahat, I. Abood, Z. Liang, J. Pei, and Z. Ouyang, “Dispersive engineering of W2 steeplehouse-defect waveguide photonic crystals,” Results in Physics, vol. 19, 103547, Dec. 2020.

J.-Y. Lee, J.-H. Lee, and H.-K. Jung, “Linear lumped loads in the FDTD method using piecewise linear recursive convolution method,” IEEE Microwave and Wireless Componenets Letters, vol. 16, no. 4, Apr. 2006.

S. S. Neoh and F. Ismail, “Time-explicit numerical methods for Maxwell’s equation in second-order form,” Applied Mathematics and Computation, vol. 392, 125669, Mar. 2021.

X. Jia, Q. Meng, X. Wang, and Z. Zhou, “Numerical study of a quasi-zero-index photonic metamaterials,” Optics Communications, vol. 364, pp. 158-164, Apr. 2016.

F. Kaburcuk and A. Z. Elsherbeni, “A speeding up technique for lossy anisotropic algorithm in FDTD method,” Applied Computational Electromagnetics Society Journal, vol. 31, no. 12, pp. 1377-1381, Dec. 2016.

B. Meng, L. Wang, W. Huang, X. Li, X. Zhai, and H. Zhang, “Wideband and low dispersion slowlight waveguide based on a photonic crystal with crescent-shaped air holes,” Applied Optics, vol. 51, no. 23, pp. 5735-5742, Aug. 2012.

C. Shi, J. Yuan, X. Luo, S. Shi, S. Lu, P. Yuan, W. Xu, Z. Chen, and H. Yu, “Transmission characteristics of multi-structure bandgap for lithium niobate integrated photonic crystal and waveguide,” Optics Communications, vol. 461, 125222, Apr. 2020.

C. Shi, J. Yuan, X. Luo, S. Shi, S. Lu, P. Yuan, W. Xu, Z. Chen, and H. Yu, “Multi-channel slow light coupled-resonant waveguides based on photonic crystal with rectangular microcavities,” Optics Communications, vol. 341, pp. 257-262, Apr. 2015.

V. Varmazyari, H. Habibiyan, and H. Ghafoorifard, “Slow light in ellipse-hole photonic crystal linedefect waveguide with high normalized delay bandwidth product,” Journal of the Optical Society of America B, vol. 31, pp. 771-779, Mar. 2014.

D. M. Pozar, Microwave Engineering. 4 th Edition, John Wiley & Sons, Inc., Amherst, Massachusetts, 2012.

J. H. Mathews and K. D. Fink, Numerical Methods using Matlab. Prince Hall, New Jersey, 1999.

M. Moitra, B. A. Slovick, Z. G. Yu, S. Krishnamurthy, and J. Valentine, “Experimental demonstration of a broadband all-dielectric metamaterial perfect reflector,” Applied Physics Letters, vol. 104, 171102, Apr. 2014.

J. C. Ginn and I. Brener, “Realizing optical magnetism from dielectric metamaterials,” Physical Review Letters, vol. 108, 097402, Feb. 2012.

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Published

2021-11-04

How to Cite

[1]
A. N. . Basmaci, “The Behavior of Electromagnetic Wave Propagation in Photonic Crystals with or without a Defect”, ACES Journal, vol. 36, no. 06, pp. 632–641, Nov. 2021.

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