Open AccessApproaches to the algorithmization of the rigorous coupled-wave analysis
Author(s) -
A. I. Antonov,
Л. А. Васин,
G. I. Greĭsukh
Publication year - 2019
Publication title -
kompʹûternaâ optika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 29
eISSN - 2412-6179
pISSN - 0134-2452
DOI - 10.18287/2412-6179-2019-43-2-209-219
Subject(s) - sawtooth wave , diffraction , transformation (genetics) , tangent , matrix (chemical analysis) , transformation matrix , gaussian , stability (learning theory) , transmission (telecommunications) , fourier transform , series (stratigraphy) , computer science , mathematical analysis , optics , mathematics , physics , geometry , geology , materials science , classical mechanics , telecommunications , biochemistry , chemistry , kinematics , paleontology , quantum mechanics , machine learning , composite material , gene
Coefficients required for the algorithmization and implementation of the rigorous coupled-waves analysis are derived for a Fourier series expansion of the permittivity of a linear-sawtooth relief with positive tangent of the working surface angle and vertical backward slope. Approaches to the implementation of the rigorous coupled-waves analysis are described and compared in terms of stability and efficiency, namely, the approach of a purposeful transformation of the transmission matrix and the approach of Gaussian illuminations. It was concluded that the most appropriate approach for determining the diffraction efficiency for cases of deep diffraction structures is the approach of purposeful transformation of the transmission matrix.