Three-dimensional modeling of a photonic crystal spectra based on anodic aluminum oxide
Pyatnov M. V. 1,2, Bikbaev R. G. 1,2, Vetrov S. Ya. 1,2, Timofeev I. V. 1,2
1Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, Krasnoyarsk, Russia
2Siberian Federal University, Krasnoyarsk, Russia
Email: MaksPyatnov@yandex.ru, bikbaev@iph.krasn.ru, s.vetrov@inbox.ru, tiv@iph.krasn.ru

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Three-dimensional optical modeling of a photonic crystal with cylindrical pores based on anodic aluminum oxide was carried out using the finite-difference time-domain method The influence of the pore radius and the angle of incidence of light on the position of the photonic band gap is shown. The calculation results are compared with the results of one-dimensional calculations using effective medium theory. Despite the fact that both theories showed good agreement with each other, one-dimensional calculation does not allow taking into account the influence of foreign materials on the spectral properties of the structure, which explains the need for the development of three-dimensional modeling. Keywords: photonic crystal, aluminum oxide, porous material, photonic band gap, anodization, effective refractive index.
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