The Optical Path Method for the Problem of Oblique Incidence of a Plane Electromagnetic Wave on a Plane-Parallel Scatterer

Aleksandr Belov () and Zhanna Dombrovskaya ()
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Aleksandr Belov: Faculty of Physics, M. V. Lomonosov Moscow State University, 119991 Moscow, Russia
Zhanna Dombrovskaya: Faculty of Physics, M. V. Lomonosov Moscow State University, 119991 Moscow, Russia

Mathematics, 2023, vol. 11, issue 2, 1-24

Abstract: A number of actual problems of integrated photonics are reduced to an oblique incidence of radiation on a plane-parallel scatterer. For such problems, an approximate method of integrating the Maxwell equations along the beam propagation direction is proposed. As a result, the original two-dimensional problem is reduced to a one-dimensional one, and recently proposed one-dimensional bicompact schemes are used to solve it. This approach provides a significant reduction of computational costs compared to traditional two-dimensional methods such as finite differences and finite elements. To verify the proposed method, calculations of test and applied problems with known exact reflection spectra are carried out.

Keywords: Maxwell’s equations; bicompact schemes; layered media; conjugation conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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