An approach to calculating and optimizing the parameters of a laminated gradient-index lens when working with polychromatic radiation under conditions of temperature fluctuation

For Russian citation (Opticheskii Zhurnal):

Левин И.А., Грейсух Г.И. Подход к расчету и оптимизации параметров ламинированной градиентной линзы при работе с полихроматическим излучением в условиях перепада температур // Оптический журнал. 2026. Т. 93. № 1. С. 59–68. http://doi.org/10.17586/1023-5086-2026-93-01-59-68

Levin I.A., Greisukh G.I. An approach to calculating and optimizing the parameters of a laminated gradient-index lens when working with polychromatic radiation under conditions of temperature fluctuation [in Russian] // Opticheskii Zhurnal. 2026. V. 93. № 1. P. 59–68. http://doi.org/10.17586/1023-5086-2026-93-01-59-68

For citation (Journal of Optical Technology):

Abstract:

Subject of the study. Radial-gradient-index optical element as part of an infinitely thin lens model. Purpose of the study. Development of a method for calculating and optimizing the parameters of a laminated radial gradient lens as part of an infinitely thin lens model and a method for optimizing the calculated values during automatic aberration correction of an optical system operating in the mid- and long-wavelength infrared spectral ranges under temperature fluctuations. The research method. Theoretical analysis and mathematical modeling using geometric optics equations. The main results. The methodology of calculation of the values of the characteristic of a radial-gradient-index lens is proposed. The calculated values of the characteristic of a radial-gradient-index lens, together with other optical elements, ensure the constancy of the optical power of the infinitely thin lens model at three wavelengths of the spectral range and at the edge values of the temperature range. The macro based on formulas of calculation of the parameters of a radial-gradient-index lens is presented. The macro integrated into the optimization function of a commercial optical design program, allows automatic correction of aberrations of the optical system with a radial-gradient-index lens when working with polychromatic radiation under conditions of temperature fluctuation. The efficiency of the macro is demonstrated using the example of automatic correction of aberrations on the axis of the optical system with a radial-gradient-index lens when moving from an infinitely thin lens model to elements of finite thickness. Practical significance. The presented methodology makes it possible to obtain the design parameters of the initial optical lay out at the initial stage of designing an optical system with a radial-gradient-index lens.

Keywords:

infrared radiation, radial-gradient-index lens, passive athermalization

Acknowledgements:

the investigation was carried out as part of the implementation of the state task of the Ministry of Education and Science of the Russian Federation № FSGS-2024-0005.

OCIS codes: 080.2740, 110.2760, 110.3080, 120.6810, 160.4670

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