Propagation of Ultrashort Optical Pulses in Fractal Objects

In this paper, we study the features of the evolution of an electromagnetic pulse in fractal structures. Different fractal structures were considered, with different symmetry and different generators. Based on the electron dispersion law for fractal objects, an expression for the electric current de...

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Main Authors: Mikhail B. Belonenko, Irina V. Zaporotskova, Natalia N. Konobeeva
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/5/1035
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author Mikhail B. Belonenko
Irina V. Zaporotskova
Natalia N. Konobeeva
author_facet Mikhail B. Belonenko
Irina V. Zaporotskova
Natalia N. Konobeeva
author_sort Mikhail B. Belonenko
collection DOAJ
description In this paper, we study the features of the evolution of an electromagnetic pulse in fractal structures. Different fractal structures were considered, with different symmetry and different generators. Based on the electron dispersion law for fractal objects, an expression for the electric current density in the system under study was obtained. It was found that the fracton dimension does not significantly affect the dynamics of ultrashort optical pulses. Thus, ultrashort optical pulses do not feel the symmetry of fractal objects.
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spelling doaj.art-54a2ecaed1654b048857a9c34a6e2f7e2023-11-18T03:30:01ZengMDPI AGSymmetry2073-89942023-05-01155103510.3390/sym15051035Propagation of Ultrashort Optical Pulses in Fractal ObjectsMikhail B. Belonenko0Irina V. Zaporotskova1Natalia N. Konobeeva2Institute of Priority Technologies, Volgograd State University, 400062 Volgograd, RussiaInstitute of Priority Technologies, Volgograd State University, 400062 Volgograd, RussiaInstitute of Priority Technologies, Volgograd State University, 400062 Volgograd, RussiaIn this paper, we study the features of the evolution of an electromagnetic pulse in fractal structures. Different fractal structures were considered, with different symmetry and different generators. Based on the electron dispersion law for fractal objects, an expression for the electric current density in the system under study was obtained. It was found that the fracton dimension does not significantly affect the dynamics of ultrashort optical pulses. Thus, ultrashort optical pulses do not feel the symmetry of fractal objects.https://www.mdpi.com/2073-8994/15/5/1035ultrashort pulsesfractalsfracton dimension
spellingShingle Mikhail B. Belonenko
Irina V. Zaporotskova
Natalia N. Konobeeva
Propagation of Ultrashort Optical Pulses in Fractal Objects
Symmetry
ultrashort pulses
fractals
fracton dimension
title Propagation of Ultrashort Optical Pulses in Fractal Objects
title_full Propagation of Ultrashort Optical Pulses in Fractal Objects
title_fullStr Propagation of Ultrashort Optical Pulses in Fractal Objects
title_full_unstemmed Propagation of Ultrashort Optical Pulses in Fractal Objects
title_short Propagation of Ultrashort Optical Pulses in Fractal Objects
title_sort propagation of ultrashort optical pulses in fractal objects
topic ultrashort pulses
fractals
fracton dimension
url https://www.mdpi.com/2073-8994/15/5/1035
work_keys_str_mv AT mikhailbbelonenko propagationofultrashortopticalpulsesinfractalobjects
AT irinavzaporotskova propagationofultrashortopticalpulsesinfractalobjects
AT nataliankonobeeva propagationofultrashortopticalpulsesinfractalobjects