Optical Technique, Volume. 50, Issue 5, 550(2024)

Progressive addition lens design on the basis of higher-order Bezier curves

LIU Jiang... JIN Tao* and JIA Hongzhi |Show fewer author(s)
Author Affiliations
  • University of Shanghai for Science and Technology,School of Optical-Electrical and Computer Engineering,Shanghai 200093,China
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    The meridian optical focus distribution is the key to controlling the size of the distance zone, near zone and channel, when designing Progressive Addition Lenses (PALs) using the direct method.The meridian optical focus distribution function represented by a high-order polynomial cannot effectively control the rate of optical focus change, resulting in a lack of flexibility in the individual design of lenses.To solve this problem, a higher-order Bezier function is proposed for describing the desired meridian optical focus distribution.Multiple curve control points are added on the meridian line.The rate of optical focus is changed in the corresponding region by changing the position of the control points, thus realizing the personalized control of the optical focus and dispersion distribution of the lenses.Through computational simulation, manufacturing and profile measurement analysis, it can be seen that the four designed PALs can meet the wearing purposes with low aberration extremes and wide focal stability ranges, which demonstrating the high plasticity of the Bezier curves.With the ability of meridian flexibility and adjustability, the method can effectively control the design, position, size of the key area, distance area, channel size.The proposed method can be used for personalized design of progressive multifocal spectacles for anti-fatigue, office and driving scenarios.

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    LIU Jiang, JIN Tao, JIA Hongzhi. Progressive addition lens design on the basis of higher-order Bezier curves[J]. Optical Technique, 2024, 50(5): 550

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    Paper Information

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    Received: Jan. 18, 2024

    Accepted: Mar. 10, 2025

    Published Online: Mar. 10, 2025

    The Author Email: Tao JIN (jintao@usst.edu.cn)

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