Numerical analysis of intensity distribution along the optical axis for non-paraxial diffractive lenses

For Russian citation (Opticheskii Zhurnal):

Дюкарева О.А., Устинов А.В. Численный анализ распределения интенсивности вдоль оптической оси для непараксиальных дифракционных линз // Оптический журнал. 2025. Т. 92. № 5. С. 89–98. http://doi.org/10.17586/1023-5086-2025-92-05-89-98

Dyukareva O.A., Ustinov A.V. Numerical analysis of intensity distribution along the optical axis for non-paraxial diffractive lenses [in Russian] // Opticheskii Zhurnal. 2025. V. 92. № 5. P. 89–98. http://doi.org/10.17586/1023-5086-2025-92-05-89-98

For citation (Journal of Optical Technology):

Abstract:

Subject of study. Longitudinal and transverse distributions of beam intensity during diffraction of laser radiation on parabolic, spherical diffractive lenses, axicons. Aim of study. Сlarification of the influence of input lens parameters in the non-paraxial region on the formed intensity distribution for generating a beam with specified properties for various types of polarization. Method. Numerical analysis of Fresnel and the first-kind Rayleigh–Sommerfeld integrals using quadrature formulas with the use of parallel computing on a graphics device. Main results. Depending on the numerical aperture, the profile of diffractive non-paraxial lenses can be close to the profile of an axicon or parabolic lens with the corresponding focal length and ensuring the formation of an intensity peak. Homogeneous types of polarization allow the formation of an axial maximum of intensity due to the x- and y-components of the electric field; with radial polarization, it is ensured by the dominant influence of the longitudinal component. For azimuthal polarization, it is possible to form an axial focus due to transverse components when introducing a vortex phase into the input field. Practical significance. The obtained results can be useful for calculating optical elements that provide variations in the polarization and phase characteristics of the electromagnetic field, which expands the means of influencing laser radiation on matter and controlling laser processing and structuring of materials.

Keywords:

non-paraxial lens, parabolic lens, axicon, Rayleigh–Sommerfeld diffraction integral, polarization

Acknowledgements:

this work was supported by the Russian Science Foundation (project № 22-79-10007) in terms of numerical modeling, and the State Assignment of the National Research Center "Kurchatov Institute" in the theoretical part

OCIS codes: 050.1970, 260.1960

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