Abstract
The electromagnetic bandgap of metamaterial-based two-dimensional photonic crystal structure with rectangular geometry is analytically computed by plane-wave expansion method. A wide range of DNG materials is considered for simulation purpose to calculate the width of bandgap (forbidden region) and their position coordinates in the band diagram. It has been established that complete bandgap formation is possible for TM mode, and the results are also compared with that obtained for positive refractive index materials with air holes of similar dimension. Peak point coordinates of ‘equivalent’ valence bands are notified for different DNG materials which will reveal the position shift of lowermost forbidden region. Existences of multiple such regions are confirmed for DNG materials which will speak for its candidature in utilizing as a multi-channel filter at a high-frequency range.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Roelkens, G.: III-V-on-silicon photonic integrated circuits for optical communication and sensing. In: Frontiers in Optics: OSA Technical Digest, pp. FF5F.4 (2016)
Cavanna, A., Jiang, X., Taheri, M., Leuchs, G., Chekhova, M.V., Joly, N.Y.: Photonic crystal fiber designs for third-harmonic and photon triplet generation. In: Nonlinear Optics: OSA Technical Digest, pp. NTh2A.7 (2017)
Huang, S.C., Hong, K.B., Chiu, H.L., Lan, S.W., Lu, T.C.: Electrically driven GaAs-based photonic crystal lasers with ITO cladding layers. In: Proceedings of SPIE: High Contrast Metastructures VII, vol. 10542, p. 105420R (2018)
Nozaki, K., Matsuo, S., Takeda, K., Sato, T., Fujii, T., Kuramochi, E., Notomi, M.: Photonic-crystal-based InGaAs photodetector connected to load resistor for receiver-less light-to-voltage conversion on chip. IEEE Photonics Conference (2014)
Babayiğit, C., Turduev, M., Giden, I.H., Bor, E., Kurt, H.: T-shape slotted photonic crystal based sensor with high sensitivity. In: 18th International Conference on Transparent Optical Networks (2016)
Dmitriev, V., Kawakatsu, M.N., Portela, G.: Compact optical switch based on 2D photonic crystal and magneto-optical cavity. Opt. Lett. 38, 1016–1018 (2013)
Watcharakitchakorn, O., Silapunt, R.: Design and modelling of the photonic crystal waveguide structure for heat-assisted magnetic recording. Adv. Mater. Sci. Eng. 2018, 8097841 (2018)
Adibi, A., Xu, Y., Lee, R.K., Loncar, M., Yariv, A., Scherer, A.: Role of distributed bragg reflection in photonic-crystal optical waveguides. Phys. Rev. B 64, 041102 (2001)
Mao, D., Ouyang, Z., Wang, J.C.: A photonic-crystal polarizer integrated with the functions of narrow bandpass and narrow transmission angle filtering. Appl. Phys. B 90, 127–131 (2008)
Das, B., Deyasi, A.: Effect of grating length on wave propagation inside paired DNG/Air Composition, CRC Press, Computational Science and Engineering, pp. 277–280 (2016)
Li, Z., Xue, Y.L., Shen, T.: Investigation of patch antenna based on photonic band-gap substrate with heterostructures. Math. Probl. Eng. 2012, 151603 (2012)
Kalra, Y., Sinha, R.K.: Photonic band gap engineering in 2D photonic crystals. PRAMANA J. Phys. 67(6), 1155–1164 (2006)
Kalra, Y., Sinha, R.K.: Modelling and design of complete photonic band gaps in two-dimensional photonic crystals. PRAMANA J. Phys. 70(1), 153–161 (2008)
Mukherjee, S., Roy, A., Deyasi, A., Ghosal, S.: Computation of photonic bandgap in two-dimensional periodic triangular lattice for bandpass filter design. In: IEEE International Conference on Microelectronics, Computing and Communication, pp. 1–5 (2016)
Abdenacer, A., Fahima, A., Radouene, G., Fares, K.: The effect of radius and size on photonic bandgap of a triangular lattice of rods Si/Air-based 2D photonic crystals. Nanocon 2013 (2013)
Moukhtari, R., Hocini, A., Khedrouche, D.: Study of two-dimensional photonic crystal microcavities as a function of refractive index. Acta Phys. Pol., A 129(4), 556–558 (2016)
Chhipa, M.K., Rewar, E.: Design and analysis of 2D hexagonal photonic crystal structure based channel drop filter for CWDM system. In: International Conference on Microwave, Optical and Communication Engineering (2015)
Ge, F.H., Zhang, J.H., Zhang, L.Q., Lu, L., Huang, X.K.: Effect of point and linear defects on bandgap properties in Triangular-Honeycomb structure photonic crystals. IOP Conference Series: Material Science Engineering 170, 012005 (2017)
Najafi, A., Jalalkamali, M., Moghadamzadeh, S., Bolorizadeh, M.A.: Finite element method analysis of photonic crystal fiber band structure. In: Symposium on Photonics and Optoelectronics, pp. 1–4 (2010)
Salski, B.: The unfolding of bandgap diagrams of hexagonal photonic crystals computed with FDTD. Progr. Electromagnetics Res. M 27, 27–39 (2012)
Hanif, A.G., Arima, T., Uno, T.: Finite-difference frequency-domain algorithm for band-diagram calculation of 2D photonic crystals composed of Debye-type dispersive materials. IEEE Antennas Wirel. Propag. Lett. 11, 41–44 (2012)
Yeh, D.W., Wu, C.J.: Analysis of photonic band structure in a one-dimensional photonic crystal containing single negative materials. Opt. Express 17(19), 16666–16680 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Ghosh, R., Chakraborty, P., Adhikary, A., Deyasi, A. (2020). Computing Electromagnetic Bandgap Structure of Metamaterial-Based 2D Photonic Crystal for TM Mode. In: Mandal, J., Bhattacharya, K., Majumdar, I., Mandal, S. (eds) Information, Photonics and Communication. Lecture Notes in Networks and Systems, vol 79. Springer, Singapore. https://doi.org/10.1007/978-981-32-9453-0_9
Download citation
DOI: https://doi.org/10.1007/978-981-32-9453-0_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9452-3
Online ISBN: 978-981-32-9453-0
eBook Packages: EngineeringEngineering (R0)