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Precision Methods of Calculating Problems of Non-Stationary Integrated Photonics

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The solution of the Maxwell equations in layered media has a discontinuity in the derivative or the function at media interfaces. For the first time, finite-difference schemes which converge of discontinuous solutions are proposed. They are two-point bicompact conservative schemes in which the layer boundaries are as grid nodes. A fundamentally new approach is proposed to account for the medium dispersion. The proposed approaches ensure the second order of accuracy for even discontinuous solutions.

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Funding

This work was supported by the Russian Science Foundation, project no. 20-71-00097.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    A. A. Belov & Zh. O. Dombrovskaya

  2. Peoples’ Friendship University of Russia, 117198, Moscow, Russia

    A. A. Belov

Authors
  1. A. A. Belov
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  2. Zh. O. Dombrovskaya
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Corresponding author

Correspondence to A. A. Belov.

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The authors declare that they have no conflicts of interest.

Additional information

Translated by V. Vetrov

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Belov, A.A., Dombrovskaya, Z.O. Precision Methods of Calculating Problems of Non-Stationary Integrated Photonics. Bull. Russ. Acad. Sci. Phys. 86, 205–210 (2022). https://doi.org/10.3103/S1062873822020071

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  • DOI: https://doi.org/10.3103/S1062873822020071

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