Transfer Matrix Methods for Annular Periodic Multilayered Structures

Document Type : Original Article

Authors

1 School of Molecular Sciences, The University of Western Australia

2 Department of Electronics and Communication Engineering, College of Engineering and Technology, SRM Institute of Science and Technology

Abstract

Analysis of complex one-dimensional photonic systems is a challenge to the scientific community. To solve such a problem in the past computational techniques have been deployed. Transfer matrix or so-called characteristics matrix is one of the widely used methods acceptable for multilayered systems. The convectional transfer matrix method has some drawbacks to solving an annular type multilayered system. This paper presents the transfer matrix method to investigate the electromagnetic wave propagation in the annular multilayered photonic structures.

Keywords


[1] M.M. Abadla, H.A. Elsayed, A. Mehaney, Thermo-optical properties of binary one dimensional annular
photonic crystal including temperature dependent constituents, Physica E, 119 2020, 114020.
[2] A. Aghajamali, T. Alamfard, C. Nayak, Investigation of reflectance properties in a symmetric defective
annular semiconductorsuperconductor photonic crystal with a radial defect layer, Physica B, 605 2021,
412770.
[3] M. Born, E. Wolf, Principles of Optics: Electromagnetic Theory of propagation, Interference and
Diffraction of Light, Cambridge University Press, UK, 2005, 1-74.
[4] T.W. Chang, H.T. Hsu, C.J. Wu, Investigation of Photonic Band Gap in a Circular Photonic Crystal,
Journal of Electromagnetic Waves and Applications, 25(16) 2011, 2222-2235.
[5] M.S. Chen, C.J. Wu, T.J. Yang, Optical properties of a superconducting annular periodic multilayer
structure, Solid State Communications, 149(43-44) 2009, 1888-1893.
[6] M.S. Chen, C.J.Wu, T.J. Yang,Wave properties of an annular periodic multilayer structure containing
the single-negative materials, Physics Letters A, 373(39) 2009, 3594-3600.
[7] S.A. El-Naggar, Optical guidance in cylindrical photonic crystals, Optik, 130 2017, 584-588.
[8] S.A. El-Naggar, Photonic gaps in one dimensional cylindrical photonic crystal that incorporates single
negative materials, The European Physical Journal D, 71(1) 2017, 1-6.
[9] C.A. Hu, C.J.Wu, T.J. Yang, S.L. Yang, Analysis of optical properties in cylindrical dielectric photonic
crystal, Optics Communications, 291 2013, 424-434.
[10] M.A. Kaliteevski, R.A. Abram, V.V. Nikolaev, G.S. Sokolovski, Bragg reflectors for cylindrical waves,
Journal of Modern Optics, 46(5) 1999, 875-890.
[11] V.V. Nikolaev, G.S. Sokolovskii, M.A. Kaliteevskii, Bragg reflectors for cylindrical waves, Semiconductors,
33(2) 1999, 147-152.
[12] L. Oyhenart, V. Vign´eras, Overview of computational methods for photonic crystals, 2012.
[13] H.M. Peng, B.F. Wan, P.X. Wang, D. Zhang, H.F. Zhang, Tunable omnidirectional band gap properties
of 1D plasma annular periodic multilayer structure based on an improved Fibonacci topological
structure. Optical and Quantum Electronics, 53(5) 2021, 256.
[14] S. Roshan Entezar, Optical properties of graphene based annular photonic crystals, Journal of Modern
Optics, 64(16) 2017, 1588-1596.
[15] H.E. Ruda, N. Matsuura, Properties and applications of photonic crystals, Optical Properties of Materials
and Their Applications 33 2019, 251-268.
[16] S.K. Srivastava, A. Aghajamali, Investigation of reflectance properties in 1D ternary annular photonic
crystal containing semiconductor and high-Tc superconductor, Journal of Superconductivity and
Novel Magnetism, 29(6) 2016, 1423-1431.
[17] S.K. Srivastava, A. Aghajamali, Study of optical reflectance properties in 1D annular photonic crystal
containing double negative (DNG) metamaterials, Physica B, 489 2016, 67-72.
[18] Q.Y.Wang, Sh. Liu, D. Gui, H.F. Zhang, Nonreciprocal absorption characteristics of one-dimensional
cylindrical magnetized plasma photonic crystals, Physica Scripta, 96(6) 2021, 065501.
[19] P. Yeh, A. Yariv, C.S. Hong, Electromagnetic propagation in periodic stratified media. I. General
theory, Journal of the Optical Society of America, 67(4) 1977, 423-438.
Volume 3, Issue 2
May 2022
Pages 22-31
  • Receive Date: 15 February 2022
  • Revise Date: 27 April 2022
  • Accept Date: 28 April 2022
  • First Publish Date: 01 May 2022