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Siyu Liu

at Wenzhou Medical Univ.

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Proceedings Article | 15 February 2022 Paper

Surface design for refractive multifocal optics

Siyu Liu, Ting Wan, Chaohui Zhou, Xiaoli Hu, Yiyu Li

Proceedings Volume 12166, 121660C (2022) https://doi.org/10.1117/12.2604999

KEYWORDS: Optical design, Refractive index, Optical spheres, Reverse engineering, Ophthalmology, Freeform optics, Eyeglasses

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According to the principle of differential geometry, the surface power distribution of a continuous surface can be solved analytically. However, the reverse engineering from surface power distribution to surface geometry relies on numerical optimization methods. This paper proposes an efficient and high-precision surface construction method for rotationally symmetric multifocal optics design. Based on the requirements for the surface power distribution in the radial direction, this method calculates the relative offset of the curvature center coordinate along the x-axis direction for each point on the cross-section curve, then calculates the first-order derivative and the second-order derivative of the cross-section curve and the corresponding curvature radius and surface power. The deviation of the designed surface power from the target power is used as a measure of the accuracy of the multifocus optics design. This method is suitable for any rotationally symmetrical multifocal distribution pattern, including Gaussian multifocal distribution and step multifocal distribution, and has the potential to extend to the free-form multifocal surface design.

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