ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Volkova S. A., Vytovtov K. А., Barabanova E. A., Hahomov S. A., Kovalenko D. L., Ivanov M. G. Analytical method of optical wave behavior studying in nonlinear medium with periodically arranged conducting nanofilms. Izvestiya VUZ. Applied Nonlinear Dynamics, 2023, vol. 31, iss. 5, pp. 575-585. DOI: 10.18500/0869-6632-003058, EDN: DCPOEN

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182; 535.015
DOI: 
10.18500/0869-6632-003058
EDN: 
DCPOEN

Analytical method of optical wave behavior studying in nonlinear medium with periodically arranged conducting nanofilms

Autors: 
Volkova Svetlana Anatolena, Astrakhan State Technical University
Vytovtov Konstantin Анатольевич,
Barabanova Elizaveta Aleksandrovna,
Hahomov Sergey Anatolevich, Francysk Skaryna Gomel State University
Kovalenko Dmitry Leonidovich, Francysk Skaryna Gomel State University
Ivanov Mihail Germanovich, Moscow Power Engineering Institute (MPEI)
Abstract: 

The purpose of this work is to build the analytical model of the behavior of a harmonic wave in a nonlinear optical medium with periodically arranged nanofilms.

Methods. The modernized method is presented of non-smooth transformation of the argument to eliminate the Dirac functions on the right side of the non-linear inhomogeneous differential equation describing linear polarized wave behavior within a non-linear optical medium with periodically arranged conducting nanofilms. Small parameter methods, in particular, the averaging method, is also used to find an approximate analytical solution.

Results. The fully analytical model of the behavior of a linear polarized harmonic wave within a nonlinear optical medium with periodically arranged conducting nanofilms is constructed.

Conclusion. For the case of propagation of a linearly polarized harmonic wave in a nonlinear optical medium with periodically arranged conducting nanofilms, the mathematical model based on the non-smooth argument transformation method is constructed. The model is fully analytical, all expressions are obtained directly from Maxwell’s equations by identical transformations. The limits of its applicability are determined by the limits of application of the wave theory of light. 

Key words: 
nonlinear optical medium
periodic structure
Dirac function
non-smooth argument transformation
solution stability
Acknowledgments: 
This work was supported by RSF, № 23-29-00795, https://rscf.ru/project/23-29-00795/
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Received: 
01.05.2023
Accepted: 
24.05.2023
Available online: 
21.09.2023
Published: 
29.09.2023
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