A mathematical model of optical bistability and the multiplicity of its solutions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:354

Article; Proceedings Paper

Trofimov, Vyacheslav A.¹  Loginova, Maria M.¹  Egorenkov, Vladimir A.¹ 

[1] Lomonosov Moscow State Univ, Fac Computat Math & Cybernetics, Moscow, Russia

关键词: Optical bistability;    Conservative finite-difference scheme;    Semiconductor;    Nonlinear absorption;    Neumann boundary conditions;    Solutions multiplicity;   

DOI  :  10.1016/j.cam.2018.12.001

来源: Elsevier

【 摘 要 】

The problem of high-intensity laser pulse interaction with a semiconductor under the condition of the light energy nonlinear absorption is considered. Mathematical model of an optical bistability based on re-normalization of forbidden energy zone of a semiconductor because of the induced electric field is presented. The multiplicity of the problem solutions at the Neumann boundary conditions statement is discussed and ways of its overcoming are proposed. The effective method for the numerical solution of the problem is developed and computer simulation results are presented. (C) 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

【 授权许可】

Free