Precision Methods of Calculating Problems of Non-Stationary Integrated Photonics

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. © 2022, Allerton Press, Inc.

Authors
Belov A.A. 1, 2 , Dombrovskaya Z.O.1
Number of issue
2
Language
English
Pages
205-210
Status
Published
Volume
86
Year
2022
Organizations
  • 1 Faculty of Physics, Moscow State University, Moscow, 119991, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, 117198, Russian Federation
Keywords
Finite difference method; Photonics; Conservative schemes; Discontinuous solutions; Finite difference scheme; Grid node; Integrated photonics; Layer boundaries; Layered media; Media interface; Nonstationary; Two-point; Maxwell equations
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/83860/
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