基于背景纹影的几何光学传递函数测量技术
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摘要
光学传递函数是评价像质的重要指标,是光学系统设计的重要辅助参数.基于背景纹影技术获取光线通过折射率场的位移场数据,结合马吕斯定理,获取了对应的波前梯度数据.结合光学传递函数计算方法,实现对光学传递函数的获取.利用上述思路完成了对某平凸透镜光学传递函数的测量,并将其与ZEMAX计算得到的光学传递函数进行比较.对比了低频处的实验结果和理论结果,其误差不超过4.0%.分析了误差产生原因并验证了基于背景纹影技术对低通系统进行光学传递函数测量的可行性和有效性.
The optical transfer function is accepted as an essential index to evaluate the imaging quality and is an important auxiliary parameter for designing the optical system.Based on the background oriented schlieren,the displacement field data of the light passing through the refractive index field are obtained,and the corresponding wavefront gradient data is obtained by combining the Marius theorem.Combined with the geometric optical transfer function formula,the optical transfer function can be achieved.The optical transfer function of a flat convex lens is measured by the above idea and is compared with the optical transfer function results calculated by ZEMAX.Comparison of the experimental results and theoretical results at low frequencies is conducted and the error is less than 4%.Feasibility and validity of background oriented schlieren for measuring the optical transfer function of low-pass systems are verified.
The optical transfer function is accepted as an essential index to evaluate the imaging quality and is an important auxiliary parameter for designing the optical system.Based on the background oriented schlieren,the displacement field data of the light passing through the refractive index field are obtained,and the corresponding wavefront gradient data is obtained by combining the Marius theorem.Combined with the geometric optical transfer function formula,the optical transfer function can be achieved.The optical transfer function of a flat convex lens is measured by the above idea and is compared with the optical transfer function results calculated by ZEMAX.Comparison of the experimental results and theoretical results at low frequencies is conducted and the error is less than 4%.Feasibility and validity of background oriented schlieren for measuring the optical transfer function of low-pass systems are verified.
引文
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[10]TIAN L F,YI S H,ZHAO Y X,et al.Aero-optical wavefront measurement technique based on BOS and its applications[J].Science Bulletin,2011,56(22):2320-2326.
[11]ZHAO Y X,YI S H,TIANL F,et al.An experimental study of aero-optical aberration and dithering of supersonic mixing layer via BOS[J].Science China Physics,Mechanics&Astronomy,2010,53(1):81-94.
[12]SETTLES G S,HARGATHER M J.A review of recent developments in schlieren and shadowgraph techniques[J].Measurement Science and Technology,2017,28(4):042001
[13]ZHANG Yi-mo.Applied optics[M].Publishing House of Electronics Industry,2015:578-584.张以谟.应用光学[M].北京:电子工业出版社,2015:578-584.
[14]HE Jun-jun,SU Qi-fang.Iterative method of numerical integration and its application[J].Journal of Taizhou University,2014,36(3):1-7.何俊俊,苏岐芳.数值积分的迭代方法及应用[J].台州学院学报,2014,36(3):1-7.
[15]SHI B,WEI J,PANG M.A modified cross-correlation algorithm for PIV image processing of particle-fluid two-phase flow[J].Flow Measurement&Instrumentation,2015,45:105-117.
[16]COZZI F,GTTLICH E,ANGELUCCI L,et al.Development of a background-oriented schlieren technique with telecentric lenses for supersonic flow[C].Journal of Physics Conference Series,2016,778(1):012006.
[2]YU Qian.Study on MTF test method of optical inspection lens[D].Hangzhou:Zhejiang University,2010:23-26.于谦.光学检查镜头的MTF测试方法研究[D].杭州:浙江大学,2010:23-26.
[3]CARDEI V,FOWLER B,KAVUSI S,et al.MTF measurements of wide field of view cameras[J].Electronic Image,2016,5(5):1-5.
[4]LI Hang,YAN Chang-xiang,SHAO Jian-bing,et al.High accuracy measurement of the MTF of electro-optical imaging system based on modified slanted-edge method[J].Acta Photonica Sinica,2016,45(12):1211009.李航,颜昌翔,邵建兵,等.基于改进倾斜刃边法的光电成像系统MTF高准确度测试[J].光子学报,2016,45(12):1211009.
[5]HARGATHER M J.Background-oriented schlieren diagnostics for large-scale explosive testing[J].Shock Waves,2013,23(5):529-536.
[6]TAN D J,EDGINGTON-MITCHELL D,HONNERY D.Measurement of density in axisymmetric jets using a novel background-oriented schlieren(BOS)technique[J].Experiments in Fluids,2015,56(11):204.
[7]BLANCO A,BARRIENTOS B,MARES C.Performance comparison of background oriented schlieren and fringe deflection in temperature measurement:part I.Numerical evaluation[J].Optical Engineering,2016,55(5):054102.
[8]WETZSTEIN G,HEIDRICH W,.RASKAR R.Computational schlieren photography with light field probes[J].International Journal of Computer Vision,2014,110(2):113-127.
[9]DING Hao-lin,YI Shi-he,FU Jia,et al.Experimental investigation of aero-optical effect due to supersonic turbulent boundary layer[J].Infrared and Laser Engineering,2016,45(10):184-190.丁浩林,易仕和,付佳,等.超声速湍流边界层气动光学效应的实验研究[J].红外与激光工程,2016,45(10):184-190.
[10]TIAN L F,YI S H,ZHAO Y X,et al.Aero-optical wavefront measurement technique based on BOS and its applications[J].Science Bulletin,2011,56(22):2320-2326.
[11]ZHAO Y X,YI S H,TIANL F,et al.An experimental study of aero-optical aberration and dithering of supersonic mixing layer via BOS[J].Science China Physics,Mechanics&Astronomy,2010,53(1):81-94.
[12]SETTLES G S,HARGATHER M J.A review of recent developments in schlieren and shadowgraph techniques[J].Measurement Science and Technology,2017,28(4):042001
[13]ZHANG Yi-mo.Applied optics[M].Publishing House of Electronics Industry,2015:578-584.张以谟.应用光学[M].北京:电子工业出版社,2015:578-584.
[14]HE Jun-jun,SU Qi-fang.Iterative method of numerical integration and its application[J].Journal of Taizhou University,2014,36(3):1-7.何俊俊,苏岐芳.数值积分的迭代方法及应用[J].台州学院学报,2014,36(3):1-7.
[15]SHI B,WEI J,PANG M.A modified cross-correlation algorithm for PIV image processing of particle-fluid two-phase flow[J].Flow Measurement&Instrumentation,2015,45:105-117.
[16]COZZI F,GTTLICH E,ANGELUCCI L,et al.Development of a background-oriented schlieren technique with telecentric lenses for supersonic flow[C].Journal of Physics Conference Series,2016,778(1):012006.