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Modeling and optimization of one class of spatially variable structures
Yu.Yu. Krivosheeva1

1Samara National Research University, Moskovskoye Shosse 34, Samara, 443086, Russia

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DOI: 10.18287/COJ1889

Article ID: 1889

Language: English

Abstract:
A mathematical model of a class of spatially variable structures based on the Bravais lattice model is presented. The model takes into account the possibility of introducing nonlocal and local defects into the structure, which enables its use in modeling and optimizing photonic crystal elements. Particular attention is paid to the combined use of a genetic algorithm and the FDTD method. The proposed solution takes into account technological limitations on the radii of calculated caverns in the crystal and imposes additional conditions on the selection of the grid domain size when changing the cavity radii values in the genetic algorithm, thereby determining the coordination of the methods. A software package for solving the inverse diffraction problem in the calculation of photonic crystal elements has been developed. To calculate the elements, this software package uses the model and solution proposed in the article for matching the genetic algorithm and the FDTD method. Using the software package, bends of 60° and 120° photonic crystal waveguides are calculated in this study. The structures obtained as a result of genetic optimization are characterized by efficiency values of 99 %, which is 33 and 11 times higher than the efficiencies without bending optimization of 60° and 120°, respectively.

Keywords:
manuscript formatting, manuscript submission, Computer Optics, diffractive optics, information optical technologies, image processing, hyperspectral data analysis, intelligent video stream analysis.

Citation:
Krivosheeva YuYu. Modeling and optimization of one class of spatially variable structures. Computer Optics 2026; 50(1): 1889. DOI: 10.18287/COJ1889.

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