基于蒙特卡洛的手机变焦镜头设计

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中图分类号：0435 文献标识码：Adoi：10.37188/OPE.20253318.2844

Abstract：With the advancement of consumer electronics，there isan increasing demand for high-perfor mance，miniaturized zoom lenses. In zoom lenses，the distribution of optical power among components and their zoom cam curve-collectively known as first-order configurations-significantly influence imaging performance.However，selecting optimal first-order configurations is challenging through simple analytical methods，thereby complicating the design of lightweight zoom lenses.To globally assessthe potential performance offirst-order configurations in zoom lenses and explore design methodologies for lightweight zoom lenses，this study employed a Monte Carlo search algorithm to identify optimal first-order configurations.Initially，focal lengths for each component were generated based on the Monte Carlo method，and configurations satisfying the zoom constraint equations were filtered. Subsequently，lens design files were created for the valid configurations，follwed by ray tracing and rapid optimization to evaluate performance，ultimately selecting configurations with superior optical power distributions. Finally， taking a smartphone zoom lens as an example，a compact zoom lens was designed using the high-performance configuration as the initial structure.This lens maintained a constantF-numberof 2.9，achieved an equivalent focal length range of 61-183mm ，and had a total track length of 90mm . It featured smooth zoom cam curve，modulation transfer function （MTF） values exceeding O.45 at 80lp/mm and 0.15 at 160lp/mm across all fields of view and focal lengths，distortion below 4% ，and relative illumination above 20% Compared to conventional zoom lenses，it offered significant advantages in terms of weight reduction. The design results demonstrate the effctiveness of the proposed method，which combines Monte Carlo-generated first-order configurations with ray tracing evaluations，providing a novel approach for designing compact zoom lenses.

Key words： optical design；zoom lenses;Monte Carlo;automatic design

1引言

变焦镜头作为一种能够在一定范围内连续改变焦距的光学系统，已广泛应用于摄影摄像[1]、机器视觉[2]、遥感观测[3等诸多领域。（剩余13975字）