Abstract
We describe the mathematical model and program BAL 3D that enables one to solve numerically three-dimensional Maxwell equations in inhomogeneous media. We present the results of calculations of the electromagnetic-radiation propagation in a 3D quasiperiodic medium (photonic crystal). We found the positions of stop bands in photonic crystals and calculate the reflection coefficients for composite materials consisting of artificial opals with pores filled with water. We compare our results with the experimental data.
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References
V. S. Gorelik, Kvantovaya Elektron., 37, 409 (2007).
J. Joannopoulos and S. Johnson, Photonic Crystals, Princeton University Press, Princeton, NJ (2008).
V. S. Gorelik, Yu. P. Voinov, V. D. Zvorykin, et al., Kratkie Soobshch. Fiz., No. 3, 11 (2010).
V. S. Gorelik, Yu. P. Voinov, V. D. Zvorykin, et al., J. Russ. Laser Res., 31, 79 (2010).
A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, MS (2000).
J.-P. Berenger, J. Comput. Phys., 127, 363 (1996).
L. D. Landau and E. M. Lifshits, Electrodynamics of Continua [in Russian], Moscow, Nauka (1982).
M. I. Barskaya and I. G. Lebo, “A two-dimensional mathematical model of the propagation of electromagnetic radiation in photonic crystals,” in: The 59 th Scientific and Technical Conference of MGTU MIREA [in Russian], Moscow (2010), Pt 2, p. 42.
M. I. Barskaya and I. G. Lebo, “Modeling of the propagation of electromagnetic radiation in photonic crystals,” in: INTERMATIC-2010: Materials of the International Conference “Fundamental Problems of Radioelectronic Instrument Design” (23–27 November 2009, Moscow), Energoatomizdat, Moscow (2010), Pt 1, p. 33.
A. N. Bogolyubov, I. A. Butkarev, and Yu. S. Dementyeva, Zh. Radioelektron., No. 5 (2006).
N. Ashcroft and N. Mermin, Solid State Physics [Russian translation], Mir Publishers, Moscow (1979), Vol. 1.
Yu. P. Voinov, V. S. Gorelik, V. D. Zvorykin, et al., J. Russ. Laser Res., 33, 10 (2012).
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Lebo, I.G., Barskaya, M.I. Numerical modeling of the propagation of electromagnetic radiation in 3D photonic crystals. J Russ Laser Res 33, 424–430 (2012). https://doi.org/10.1007/s10946-012-9298-3
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DOI: https://doi.org/10.1007/s10946-012-9298-3