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Gradient method for designing cascaded DOEs focusing radiation of different wavelengths
G.A. Motz 1,2, D.V. Soshikov 1,2, L.L. Doskolovich 1,2, E.V. Byzov 1,2, E.A. Bezus 1,2, D.A. Bykov 1,2

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

 PDF, 1320 kB

DOI: 10.18287/2412-6179-CO-1551

Pages: 76-83.

Full text of article: Russian language.

Abstract:
The design of cascaded diffractive optical elements (DOEs) generating several specified intensity distributions for several incident beams with different wavelengths is considered. The problem of designing a cascaded DOE is formulated as that of minimizing a functional that depends on the height functions of the diffractive microrelief of the cascaded DOEs and represents the error in the generation of specified intensity distributions at the operating wavelengths. Explicit expressions are obtained for the derivatives of the functional, and on this basis, a gradient method for designing cascaded DOEs is formulated. Using the gradient method, cascaded DOEs are calculated, which focus optical radiation of three different wavelengths into three different regions. The presented numerical simulation results demonstrate good performance of the proposed method.

Keywords:
diffractive optical element, inverse problem, scalar diffraction theory, gradient method.

Citation:
Motz GA, Soshnikov DV, Doskolovich LL, Byzov EV, Bezus EA, Bykov DA. Gradient method for designing cascaded DOEs focusing radiation of different wavelengths. Computer Optics 2025; 49(1): 76-83. DOI: 10.18287/2412-6179-CO-1551.

Acknowledgements:
This work was partly funded by the Russian Science Foundation under project No. 24-19-00080 (development of the gradient method and the calculation of spectral DOEs) and under the state assignment of NRC “Kurchatov Institute” (software development for simulating the operation of cascaded DOEs).

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