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Comparison of two approaches to the design of interference optical elements on photonic crystal structures
Yu.Yu. Krivosheeva 1, D.L. Golovashkin 1,2, V.S. Pavelyev 1,2

1 Samara National Research University,
443086, Samara, Russia, Moskovskoye Shosse 34;
2 Image Processing Systems Institute, NRC "Kurchatov Institute",
443001, Samara, Russia, Molodogvardeyskaya 151

 PDF, 1270 kB

DOI: 10.18287/2412-6179-CO-1603

Pages: 549-559.

Full text of article: Russian language.

Abstract:
Using examples of photonic crystal interference optical elements such as bends of waveguide structures, an intersection of three waveguides, a radiation input node, a Y-shaped logical gate NOT, and a logical gate NOT on a crystal with self-collimation, we discuss two approaches to the synthesis of integrated optics elements: non-stochastic methods of gradient-free optimization (zero-order optimization methods) and a genetic algorithm. Both approaches involve solving the direct diffraction problem using the FDTD method. We conclude that these approaches are suited for designing photonic crystal optical elements: a comparison of the calculated results in terms of the efficiency criterion demonstrates an advantage of the author's modified genetic algorithm over the coordinate descent and Hooke-Jeeves methods for elements in which radiation does not propagate along a straight path. Meanwhile for elements that conduct radiation along a straight waveguide, zero-order optimization methods provide the same efficiency as genetic optimization (more than 99%), while the computational complexity of these methods is lower. Particular attention is paid to the analysis of the “partial enumeration” method. Using the example of a photonic crystal waveguide with a 120°-bending, it is shown that the element designed using this method is characterized by virtually lossless radiation transmission, while its computational complexity is 2 times lower than that of the genetic algorithm.

Keywords:
photonic crystals, interference optical elements, genetic algorithm, optimization methods.

Citation:
Krivosheeva YY, Golovashkin DL, Pavelyev VS. Comparison of two approaches to the design of interference optical elements on photonic crystal structures. Computer Optics 2025; 49(4): 549-559. DOI: 10.18287/2412-6179-CO-1603.

Acknowledgements:
The work was carried out within a government project of NRC "Kurchatov Institute".

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