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ORIGINAL RESEARCH article

Front. Phys.
Sec. Optics and Photonics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1481543
This article is part of the Research Topic Freeform Optics: From Theory to Applications View all 3 articles

Research on the design of progressive addition multifocal defocused freeform lenses

Provisionally accepted
Huazhong Xiang Huazhong Xiang 1*Lefei Ma Lefei Ma 1*Xin Zhang Xin Zhang 1*Hui Cheng Hui Cheng 1*Zexi Zheng Zexi Zheng 2*Jiabi Chen Jiabi Chen 2*Cheng Wang Cheng Wang 1Dawei Zhang Dawei Zhang 3,4*Songlin Zhuang Songlin Zhuang 3,4*
  • 1 School of Health Sciences and Engineering, University of Shanghai for Science and Technology, Shanghai, Shanghai, China
  • 2 School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai, Shanghai Municipality, China
  • 3 Engineering Research Center of Optic Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai, China
  • 4 School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai, China

The final, formatted version of the article will be published soon.

    In this study, we developed a new method for designing progressive addition-multifocus defocused freeform lenses. We used two independent meridians and achieved a smooth gradient transition of additional optical power from the center to the peripheral area of the lens, along with an asymmetric distribution of additional optical power on the nasal-temporal side of the lens. To improve the optical performance of the lenses, we developed three different designs based on the distribution of the additional optical power on the meridians. We conducted simulations and processing on the three different designs. The lenses designed using improved logistic regression and sine functions for meridian optical power distribution exhibited stable optical performance in the central focus area. They also met the design requirements for additional optical power. However, significant distortion was still observed in the peripheral region, which required further optimization. Lenses designed using piecewise linear functions for meridian optical power distribution exhibited relatively poor optical performance with significant optimization potential. Thus, combining the optical power distribution and surface-type factors for optimization is necessary. The proposed method enabled designing of defocus-free curved mirror lenses that satisfy the optical performance requirements. Thus, this method provides a new approach for the design of progressive addition lenses.

    Keywords: Freeform surface, defocus lens, Optical power, Astigmatism, optimization

    Received: 16 Aug 2024; Accepted: 14 Oct 2024.

    Copyright: © 2024 Xiang, Ma, Zhang, Cheng, Zheng, Chen, Wang, Zhang and Zhuang. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence:
    Huazhong Xiang, School of Health Sciences and Engineering, University of Shanghai for Science and Technology, Shanghai, Shanghai, China
    Lefei Ma, School of Health Sciences and Engineering, University of Shanghai for Science and Technology, Shanghai, Shanghai, China
    Xin Zhang, School of Health Sciences and Engineering, University of Shanghai for Science and Technology, Shanghai, Shanghai, China
    Hui Cheng, School of Health Sciences and Engineering, University of Shanghai for Science and Technology, Shanghai, Shanghai, China
    Zexi Zheng, School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai, 130012, Shanghai Municipality, China
    Jiabi Chen, School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai, 130012, Shanghai Municipality, China
    Dawei Zhang, Engineering Research Center of Optic Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai, China
    Songlin Zhuang, Engineering Research Center of Optic Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai, China

    Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.