Flexible design of progressive addition lenses for effective sizing of viewing zones using ellipse, hyperbola, parabola, and circle parametric equations

• Autorzy: Ma Lefei , Xiang Huazhong , Zhang Xin , Cheng Hui , Zheng Zexi , Chen Jiabi , Wang Cheng , Zhang Dawei , Zhuang Songlin

Identyfikatory

DOI

10.37190/oa/195988

• Języki publikacji: EN

Abstrakty

EN

This study addresses the critical issue of optical power distribution in progressive addition lenses (PALs). We introduce a novel approach by defining the addition vertex power curve along the meridian line as a trigonometric function. Four distinct conic equations (ellipse, hyperbola, parabola, and circle) are proposed to extend power distribution evenly across the lens surface. An offset parameter is introduced for controlling viewing area widths. The elliptical equations offer the best results for larger fixed focus areas, while circular equations excel for smaller areas. This personalized method caters to individual patient needs, providing optimized PAL designs.

Słowa kluczowe

EN

progressive addition lenses; power; eccentricity; astigmatism; optimization

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2025
• Tom: Vol. 55, nr 1
• Strony: 19--31
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Ma Lefei

• School of Health Science and Engineering, University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai 200093, China

autor

Xiang Huazhong

• School of Health Science and Engineering, University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai 200093, China

autor

Zhang Xin

• School of Health Science and Engineering, University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai 200093, China

autor

Cheng Hui

• School of Health Science and Engineering, University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai 200093, China

autor

Zheng Zexi

• School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

autor

Chen Jiabi

• School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

autor

Wang Cheng

• School of Health Science and Engineering, University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai 200093, China

autor

Zhang Dawei

• Engineering Research Center of Optic Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai 200093, China
• School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

autor

Zhuang Songlin

• Engineering Research Center of Optic Instrument and System, Ministry of Education, University of Shanghai for Science and Technology, Shanghai 200093, China
• School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Bibliografia

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