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Conservative Finite-Difference Scheme for Computer Simulation of Field Optical Bistability

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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Abstract

We investigate 2D switching wave of nonlinear absorption in a semiconduntor under the high intensive laser pulse action. A laser pulse interaction with semiconductor is described by the set of 2D nonlinear differential equations. To solve these equations numerically we have developed the conservative finite-difference scheme. It’s realization is based on the original two-stage iteration process. It is very important, that the finite-difference scheme is conservative one on each of iterations because we have to provide a simulation on big time interval.

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References

  1. Gibbs, H.M.: Optical Bistability: Controlling Light with Light. Academic Press, NY (1985)

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  2. Strang, G.: On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5(N3), 506–517 (1968)

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  3. Trofimov, V.A., Loginova, M.M., Egorenkov, V.A.: New two-step iteration process for solution of semiconductor plasma generation problem with arbitrary Boundary Conditions in 2D case. WIT Trans. Model. Simul. 59, 85–96 (2015)

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  4. Bonch-Bruevich, V.L., Kalashnikov, S.G.: Physics of Semiconductors. Nauka, Moscow (1990). (in Russian)

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  5. Trofimov, V.A., Loginova, M.M.: Difference scheme for the problem of femtosecond pulse interaction with semiconductor in the case of nonlinear electron mobility. J. Comput. Math. Math. Phys. 45(N12), 2185–2196 (2005)

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Acknowledgments

The investigation was made using support of the Russian Science Foundation (Grant 14-21-00081).

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119992, Russian Federation

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

Authors
  1. Vyacheslav A. Trofimov
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  2. Maria M. Loginova
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  3. Vladimir A. Egorenkov
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Corresponding author

Correspondence to Maria M. Loginova .

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Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Trofimov, V.A., Loginova, M.M., Egorenkov, V.A. (2017). Conservative Finite-Difference Scheme for Computer Simulation of Field Optical Bistability. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_78

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_78

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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