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Program Systems: Theory and Applications, 2019, Volume 10, Issue 1, Pages 33–46 (Mi ps337)  

Mathematic Modeling

Simulation of the effect of short optical pulses on graphene

A. D. Panferov, A. V. Makhankov

Saratov State University

Abstract: The interaction of high-frequency pulsed electric fields with graphene is currently the subject of intense research. The paper presents the results of testing a software system for modeling such processes using the example of ultrashort laser pulses of the optical range with different polarizations. The authors develop the system on a base of a new theoretical approach based on the quantum kinetic equation. The approach contains a computational model for a new system of ordinary differential equations with non-linearly dependent on time and problem parameters coefficients.
The need to analyze the behavior of solutions of this system of equations in the field of changing several parameters leads to the polynomial computational complexity. The lack of knowledge of the nature of the parametric dependence of solutions requires several iterations of the choice of covering grids. The paper describes the adaptation of this modeling system for use in massively parallel computing systems.

Key words and phrases: numerical simulation, high performance computing, graphene, kinetic equation.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-07-00778_а
Supported by RFBR according to the research project 18-07-00778.


DOI: https://doi.org/10.25209/2079-3316-2019-10-1-47-58

Full text: PDF file (1454 kB)
References: PDF file   HTML file

UDC: 519.688, 004.942
BBK: 32.973
MSC: Primary 81T80; Secondary 81T40, 82C20
Received: 19.12.2018
12.02.2019
Accepted: 26.03.2019

Citation: A. D. Panferov, A. V. Makhankov, “Simulation of the effect of short optical pulses on graphene”, Program Systems: Theory and Applications, 10:1 (2019), 33–46

Citation in format AMSBIB
\Bibitem{PanMak19}
\by A.~D.~Panferov, A.~V.~Makhankov
\paper Simulation of the effect of short optical pulses on graphene
\jour Program Systems: Theory and Applications
\yr 2019
\vol 10
\issue 1
\pages 33--46
\mathnet{http://mi.mathnet.ru/ps337}
\crossref{https://doi.org/10.25209/2079-3316-2019-10-1-47-58}


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