Modeling of Photon Crystals of Microwave Range Using Interference Matrixes

Authors	V. Bilozeretseva¹, N. Diakonenko¹, O. Ovcharenko²В.І. Білозерцева¹
Affiliations	¹National Technical University “Kharkiv Polytechnic Institute”, 2, Kyrpychov St., 61002 Kharkiv, Ukraine ²V.N. Karazin Kharkiv National, 4, Svobody Sq., 61000 Kharkiv, Ukraine
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Issue	Volume 11, Year 2019, Number 5
Dates	Received 07 June 2019; revised manuscript received 25 October 2019; published online 25 October 2019
Citation	V. Bilozeretseva, N. Diakonenko, O. Ovcharenko, J. Nano- Electron. Phys. 11 No 5, 05035 (2019)
DOI	https://doi.org/10.21272/jnep.11(5).05035
PACS Number(s)	73.21.Ac, 41.20.Jb, 07.57.Pt
Keywords	Photonic crystals, Interference of light, Multi-layered system, Matrix method.
Annotation	The ability to control the properties of photonic crystals by changing the parameters of the layers allows to create unique optoelectronic devices. Properties of such environments are due to the formation of permitted and forbidden areas for electromagnetic radiation. The behavior of forbidden and permitted zones (high reflection and high-transmission areas) is well described by the theory of multilayer coatings. Interference systems consisting of alternating films of the required optical thickness with high and low refractive indexes allow reducing the reflection of light in a narrow or wide spectral region, to increase reflection of incident light at different sections of spectral width, to separate narrow spectral region of monochromatic light. Theoretical studies can be carried out using both matrix methods and analytical formulas developed for multilayer. The simulation of a heterogeneous layer is carried out by replacing the smooth distribution of the refractive index with a stepped profile. Each layer is described using matrices of interference. The developed calculation programs using the matrix method make it possible to obtain the given optical characteristics (reflection, transmission, etc.) for any multilayer coatings. We simulated an interference mirror with quarter-wave optical thicknesses of alternating layers and normal incidence of light. The graphs presented show a remarkable coincidence of the results of optical characteristics of multilayer coatings obtained using the matrix method with experimental and numerical FDTD (Finite-Difference Time-Domain) method. A multilayer system with a defective layer has a bandwidth in the band gap; it is a conventional interference filter. Thus, this confirms that photonic crystals can be modeled using multilayer interference structures and calculations using matrix methods.
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