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Nanosystems: Phys. Chem. Math., 2022, 13 (2), 142–147

Three-dimensional extremely short optical pulses in a phonic crystal with a superlattice

Yu. V. Dvuzhilova – Volgograd State University, Volgograd, 400062, Russia; dvuzhilov.ilya@volsu.ru
N. G. Glazkova – Volgograd State University, Volgograd, 400062, Russia
I. S. Dvuzhilov – Volgograd State University, Volgograd, 400062, Russia
I. V. Zaporotskova – Volgograd State University, Volgograd, 400062, Russia
M. B. Belonenko – Volgograd State University, Volgograd, 400062, Russia; mbelonenko@yandex.ru

Corresponding author: Yu. V. Dvuzhilova, dvuzhilov.ilya@volsu.ru

PACS 42.65.Tg

DOI 10.17586/2220-8054-2022-13-2-142-147

ABSTRACT Based on Maxwell’s equations in Coulomb calibration, which describe the dynamics of extremely short optical pulses in a photonic crystal with a three-dimensional superlattice connected by strong tunneling along one axis, a phenomenological equation was obtained in the form of the classical 2+1-dimensional sine-Gordon equation with variable coefficients for the case of cylindrical symmetry. The steady propagation of such pulses is established, as well as the dependence of the evolution of these pulses on the parameters of the photonic crystal.

KEYWORDS superlattice, extremely short optical pulses, photonic crystal.

ACKNOWLEDGEMENTS Yu. V. Dvuzhilova, I. S. Dvuzhilov and M. B. Belonenko thank the Ministry of Science and Higher Education of the Russian Federation for the numerical modeling and parallel computations support under the government task (0633-2020-0003).

FOR CITATION Dvuzhilova Yu.V., Glazkova N.G., Dvuzhilov I.S., Zaporotskova I.V., Belonenko M.B. Three-dimensional extremely short optical pulses in a phonic crystal with a superlattice. Nanosystems: Phys. Chem. Math., 2022, 13 (2), 142–147.

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