A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings

• Published in: Differential equations Vol. 59; no. 3; pp. 404 - 413
• Main Authors: Martynova, V. Yu, Smirnov, Yu. G., Tikhonravov, A. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-03-2023; Springer; Springer Nature B.V
• Subjects: Coatings; Dielectrics; Difference and Functional Equations; Differential equations; Diffraction; Diffraction efficiency; Electric waves; Electromagnetic radiation; Electromagnetic waves; Electromagnetics; Electromagnetism; Gratings (spectra); Mathematics; Mathematics and Statistics; Methods; Multilayers; Numerical Methods; Optimization; Ordinary Differential Equations; Partial Differential Equations; Wave diffraction
• ISSN: 0012-2661; 1608-3083
• DOI: 10.1134/S0012266123030114

A method is proposed for optimizing the diffraction efficiency of multilayer dielectric gratings in the problem of spectral addition of signals in a wide range of wavelengths. From a physical point of view, we pose a direct problem of electromagnetic wave diffraction on multilayer dielectric gratings for the solution of which a modified method of separation of variables is applied. To optimize the diffraction efficiency, a gradient method with a constant step is used, while the gradient is calculated analytically. Numerical results are presented.