基于三步相移干涉法的光学传输矩阵测量与聚焦
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摘要
基于光学传输矩阵实现透过散射介质进行聚焦和成像是近年来光学领域的研究热点。为了测量得到散射介质的光学传输矩阵,并利用光学传输矩阵研究散射介质的特殊性质,首先结合三步相移干涉法测量磨砂玻璃的光学传输矩阵,分析哈达玛基和笛卡尔基下光学传输矩阵的特征值分布特点,然后基于笛卡尔基下的光学传输矩阵以及相位共轭的思想,实现透过散射介质的单点聚焦和多点聚焦,验证散射介质的聚焦点可控特性;研究相机处于不同位置时透过散射介质的聚焦性质,测量光学系统的焦深;基于聚焦点可控性质及光学系统焦深,验证系统中磨砂玻璃的类透镜性质。结果表明:三步相移干涉法测量散射介质光学传输矩阵的测量时间短,聚焦的增强因子较高;哈达玛基和笛卡尔基下光学传输矩阵的实部和虚部的特征值分布均服从高斯分布,与理论结果比较符合,验证了三步相移干涉法对散射介质光学传输矩阵测量的正确性;所述系统的可聚焦焦深较长,且在焦深范围内均可实现单点聚焦和多点聚焦。
Focusing and imaging through scattering medium based on the optical transmission matrix is a hot topic in the field of optics recently.To measure the optical transmission matrix of the scattering medium and study special properties of the scattering medium,we propose a method named three steps phase shift interferometry to measure the optical transmission matrix of the frosted glass,and analyze eigenvalue distribution characteristics of the optical transmission matrix in Hadamard basis and Cartesian basis.Then combining the optical transmission matrix in Cartesian basis and phase conjugation,we achieve single point and multipoint focusing through scattering medium to verify the controllability of focusing points of the scattering medium. We study properties focusing through scattering medium with the camera in different positions,and measure the depth of focus of the optical system.We verify the lenslike effect of the frosted glass based on the controllability of the focusing points and the depth of focus of the system.The results show that three steps phase shift interferometry has the advantages of less measuring time and high enhancement factors of focusing; The eigenvalue distribution characteristics of the optical transmission matrix in Hadamard basis and Cartesian basis are both following the Gaussian distribution,which agrees well with theoretical prediction,and the correctness of the three steps phase shift interferometry to measure the optical transmission matrix of scattering media is verified;the focusable depth of focus of the system is long,within which the single point and multipoint focusing can be achieved.
Focusing and imaging through scattering medium based on the optical transmission matrix is a hot topic in the field of optics recently.To measure the optical transmission matrix of the scattering medium and study special properties of the scattering medium,we propose a method named three steps phase shift interferometry to measure the optical transmission matrix of the frosted glass,and analyze eigenvalue distribution characteristics of the optical transmission matrix in Hadamard basis and Cartesian basis.Then combining the optical transmission matrix in Cartesian basis and phase conjugation,we achieve single point and multipoint focusing through scattering medium to verify the controllability of focusing points of the scattering medium. We study properties focusing through scattering medium with the camera in different positions,and measure the depth of focus of the optical system.We verify the lenslike effect of the frosted glass based on the controllability of the focusing points and the depth of focus of the system.The results show that three steps phase shift interferometry has the advantages of less measuring time and high enhancement factors of focusing; The eigenvalue distribution characteristics of the optical transmission matrix in Hadamard basis and Cartesian basis are both following the Gaussian distribution,which agrees well with theoretical prediction,and the correctness of the three steps phase shift interferometry to measure the optical transmission matrix of scattering media is verified;the focusable depth of focus of the system is long,within which the single point and multipoint focusing can be achieved.
引文
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[2]Kim M,Choi W,Choi Y,et al.Transmission matrix of a scattering medium and its applications in biophotonics[J].Optics Express,2015,23(10):12648-12668.
[3]Popoff S M,Lerosey G,Fink M,et al.Controlling light through optical disordered media:transmission matrix approach[J].New Journal of Physics,2011,13(12):123021.
[4]Drémeau A,Liutkus A,Martina D,et al.Reference-less measurement of the transmission matrix of a highly scattering material using a DMD and phase retrieval techniques[J].Optics Express,2015,23(9):11898-11911.
[5]Yoon J,Lee K,Park J,et al.Measuring optical transmission matrices by wavefront shaping[J].Optics Express,2015,23(8):10158-10167.
[6]Choi W,Fang-yen C,Badizadegan K,et al.Tomographic phase microscopy[J].Nature Methods,2007,4(9):717-719.
[7]Liu D W,Liu H L,Qiao M,et al.Scattering effect suppression and optical field recovery by phase conjugation technology[J].Acta Optica Sinica,2016,36(7):0711002.刘迪维,刘红林,乔木,等.相位共轭技术抑制散射及还原光场研究[J].光学学报,2016,36(7):0711002.
[8]Rotter S,Gigan S.Light fields in complex media:mesoscopic scattering meets wave control[J].Reviews of Modern Physics,2017,89(1):015005.
[9]Su X Y.Information optics[M].2th ed.Beijing:Science Press,2011:63.苏显渝.信息光学[M].2版.北京:科学出版社,2011:63.
[10]Lerosey G,de Rosny J,Tourin A,et al.Time reversal of electromagnetic waves[J].Physical Review Letters,2004,92(19):193904.
[11]Derode A,Roux P,Fink M.Robustacoustic time reversal with high-order multiple scattering[J].Physical Review Letters,1995,75(23):4206-4209.
[12]Garcia N,Genack A Z.Crossover to strong intensity correlation for microwave radiation in random media[J].Physical Review Letters,1989,63(16):1678-1681.
[13]Beenakker C W J.Random-matrix theory of quantum transport[J].Reviews of Modern Physics,1997,69(3):731-808.
[14]Webster M A,Gerke T D,Weiner A M,et al.Spectral and temporal speckle field measurements of a random medium[J].Optics Letters,2004,29(13):1491-1493.
[15]Vellekoop I M,Mosk A P.Focusing coherent light through opaque strongly scattering media[J].Optics Letters,2007,32(16):2309.
[16]Zhao M,Zhao M J,Sun C W,et al.Measurement and light focusing by transmission matrices of scattering media based on phase-only modulation[J].Acta Optica Sinica,2018,38(1):0129001.赵明,赵美晶,孙程伟,等.基于纯相位调制的散射介质传输矩阵测量与光波聚焦[J].光学学报,2018,38(1):0129001.