基于哈特曼探测器的光学传递函数测量方法研究

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关键词：哈特曼探测器；光学传递函数;像差；焦距测量；色差中图分类号：TP394.1;TH691.9 文献标志码：A doi：10.37188/CO.2025-0012 CSTR：32171.14.CO.2025-0012

Abstract： This study proposes a Hartmann wavefront sensor-based method for cost-effective，real-time measurement of Optical Transfer Function （OTF）. First， an OTF measurement framework is established using wavefront data acquired through the Hartmann wavefront sensor. Subsequently， we design an optical configuration for OTF measurement， incorporating methodologies to determine depth of focus，characterize aberrations，and measure focal length.A dedicated calibration optical path is developed for objective lens aberration quantification，accompanied by systematic calibration procedures.Finally， an experimental setup is implemented to comprehensively assesslens performance， including Modulation Transfer Function （MTF）， aberration，focal length， depth offocus，and chromatic aberration. The measurement results show that this method can achieve MTF measurement for the lens within a 0-1∘ field of view. The measured aberrations include astigmatism （0.114λ） ，coma （0.128λ） ，andspherical aberration （0.02λ） . At 0∘ field angle， the chromatic aberration values for red， green， and blue wavelengths are 0.047λ，0.055λ. and 0.048λ ，respectively， increasing to 0.117λ，0.176λ， and 0.154λ at 1∘ field angle. The depth of focus is measured at 0.454mm with a 2% error， while the focal length is determined to be 74.6mm with a 0.8% error. These results confirm that the proposed measurement method enables accurate MTF characterization of optical lenses， providing a low-cost and real-time technical solution for the evaluation ofMTF in optical systems.

Key words： Hartmann wavefront sensor;optical transfer function;aberration； focal length measurement; chromaticaberration

1引言

光学传递函数（OpticalTransferFunction，OTF）通过分析系统对不同空间频率的传递特性，衡量系统成像的保真度[1-2]，广泛用于评价光学成像系统的性能，如红外成像系统、光学镜头、人眼光学性能等方面[3-6]。（剩余12813字）