Optimization of parameters of multilayer diffraction gratings using needle variations 

Valeriya Yu. Martynova, Candidate of physical and mathematical sciences, associate professor of the sub-department of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: lynxbax@mail.ru
Yuriy G. Smirnov, Doctor of physical and mathematical sciences, professor, head of the sub-department of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: mmm@pnzgu.ru
Aleksandr V. Tikhonravov, Doctor of physical and mathematical sciences, head of the laboratory of computational experiment and modeling, Lomonosov Moscow State University (1 Leninskie Gory, Moscow, Russia), E-mail: mmm@pnzgu.ru 

Background. The purpose of the work is to optimize the diffraction efficiency in the first diffraction order of a multilayer diffraction grating. Material and methods. Needle variations are used to optimize diffraction efficiency. Results. Computational experiments were performed, which showed that the addition of a second line in the grating period significantly increased the diffraction efficiency in the first diffraction order. Conclusions. The use of needle variations is applicable in the design of multilayer diffraction gratings. 

diffraction gratings, modified method of separation of variables, electromagnetic TE-waves , diffraction efficiency, optimization, needle variations 

Martynova V.Yu., Smirnov Yu.G., Tikhonravov A.V. Optimization of parameters of multilayer diffraction gratings using needle variations. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki = University proceedings. Volga region. Physical and mathematical sciences. 2022;(4):56–68. (In Russ.). doi:10.21685/2072-3040-2022-4-6