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ISSN: 1023-5086

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ISSN: 1023-5086

Scientific and technical

Opticheskii Zhurnal

A full-text English translation of the journal is published by Optica Publishing Group under the title “Journal of Optical Technology”

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DOI: 10.17586/1023-5086-2026-93-03-24-32

УДК: 535.421

Fourier modal method with explicit accounting for boundary conditions in the coordinate space for one-dimensional diffraction gratings of an arbitrary profile

Spiridonov S.I., Shcherbakov A.A.
For Russian citation (Opticheskii Zhurnal):

Спиридонов С.И., Щербаков А.А. Фурье-модальный метод с явной записью граничных условий в координатном пространстве для одномерных дифракционных решеток произвольного профиля // Оптический журнал. 2026. Т. 93. № 3. С. 24–32. http://doi.org/10.17586/1023-5086-2026-93-03-24-32

Spiridonov S.I., Shcherbakov A.A. Fourier modal method with explicit accounting for boundary conditions in the coordinate space for one-dimensional diffraction gratings of an arbitrary profile [in Russian] // Opticheskii Zhurnal. 2026. V. 93. № 3. P. 24–32. http://doi.org/10.17586/1023-5086-2026-93-03-24-32

For citation (Journal of Optical Technology):
-

 

Abstract:

Subject of study. The Fourier Modal Method with explicit accounting for boundary conditions in the coordinate space for one-dimensional gratings of an arbitrary profile. Aim of study. To generalize and develop the formulation of the Fourier Modal Method with explicit accounting for boundary conditions of the discontinuous components of the electric field inside the structure for the case of one-dimensional gratings of an arbitrary profile. Method. The research is carried out on the basis of theoretical analysis and numerical modeling. The proposed approach is based on a generalization of the reformulated Fourier Modal Method presented in the authors’ previous paper, where the boundary conditions for the discontinuous component of the electric field were explicitly taken into account. In this paper, the boundary conditions on slanted interfaces are taken into account within each layer of grating decomposition. Main results. The reformulated Fourier Modal Method has been developed that explicitly takes into account the boundary conditions in coordinate space for the discontinuous components of the electric field inside one-dimensional gratings of an arbitrary profile. This approach improves the accuracy of calculations in comparison with the classical formulation of the Fourier Modal Method. Practical significance. The developed approach can be used for the design and analysis of one-dimensional optical diffraction nanostructures, in the field of sensing and nonlinear optics applications.

Keywords:

Fourier Modal Method, diffraction efficiency, gratings with slanted walls, gratings of an arbitrary profile, near field

OCIS codes: 050.1970, 070.0070, 000.3860

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