Abstract
Owing to the highly heterogeneous distributions of the components of disordered materials, light transport in such media experiences multiple light scattering. Focusing light through strongly scattering media is a significant goal in optical communication and imaging. However, a very challenging problem in such a process is the precise optimization of input wavefront, which influences the intensity and signal-to-noise ratio of the focus. This work proposes combining a genetic algorithm with the Gauss–Newton method to address this problem. Using this combined algorithm, we can efficiently obtain the correct and precise input wavefront for light scattering focus. The accuracy and stability of our proposed algorithm are verified using both numerical simulation and experiment.
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References
R. Wang, J. Wei, Y. Fan, Chalcogenide phase-change thin films used as grayscale photolithography materials. Opt. Express 22, 4973–4984 (2014)
D. Loterie, S.A. Goorden, D. Psaltis, C. Moser, Confocal microscopy through a multimode fiber using optical correlation. Opt. Lett. 40, 5754–5757 (2015)
S. Popoff, G. Lerosey, M. Fink, A.C. Boccara, S. Gigan, Image transmission through an opaque material. Nat. Commun. 1, 81 (2010)
I.M. Vellekoop, A.P. Mosk, Focusing coherent light through opaque strongly scattering media. Opt. Lett. 32, 2309–2311 (2007)
L. Fang, X. Zhang, H. Zuo, L. Pang, Focusing light through random scattering media by four-element division algorithm. Opt. Commun. 407, 301–310 (2018)
L. Fang, H. Zuo, L. Pang, Z. Yang, X. Zhang, J. Zhu, Image reconstruction through thin scattering media by simulated annealing algorithm. Opt. Lasers Eng. 106, 105–110 (2018)
L. Fang, H. Zuo, Z. Yang, X. Zhang, J. Du, L. Pang, Binary wavefront optimization using a simulated annealing algorithm. Appl. Opt. 57, 1744–1751 (2018)
J. Yoon, K. Lee, J. Park, Y. Park, Measuring optical transmission matrices by wavefront shaping. Opt. Express 23, 10158–10167 (2015)
H. Yu, J. Park, K. Lee, J. Yoon, K. Kim, S. Lee, Y. Park, Recent advances in wavefront shaping techniques for biomedical applications. Curr. Appl. Phys. 15, 632–641 (2015)
S.M. Popoff, G. Lerosey, R. Carminati, M. Fink, A.C. Boccara, S. Gigan, Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media. Phys. Rev. Lett. 104, 100601 (2010)
S.M. Popoff, G. Lerosey, M. Fink, A.C. Boccara, S. Gigan, Controlling light through optical disordered media: transmission matrix approach. N. J. Phys. 13, 1–9 (2011)
D.B. Conkey, A.N. Brown, A.M. Caravacaaguirre, R. Piestun, Genetic algorithm optimization for focusing through turbid media in noisy environments. Opt. Express 20, 4840–4849 (2012)
I.M. Vellekoop, A.P. Mosk, Universal optimal transmission of light through disordered materials. Phys. Rev. Lett. 101(12), 120601 (2008)
C.L. Hsieh, Y. Pu, R. Grange, D. Psaltis, Digital phase conjugation of second harmonic radiation emitted by nanoparticles in turbid media. Opt. Express 18, 12283–12290 (2010)
I.M. Vellekoop, M. Cui, C. Yang, Digital optical phase conjugation of fluorescence in turbid tissue. Appl. Phys. Lett. 101, 081108 (2012)
Z. Yaqoob, D. Psaltis, M.S. Feld, C. Yang, Optical phase conjugation for turbidity suppression in biological samples. Nat. Photon. 2(2), 110–115 (2008)
For transmission matrix approaches:
A. Drémeau, A. Liutkus, D. Martina, O. Katz, C. Schülke, F. Krzakala, S. Gigan, L. Daudet, Reference-less measurement of the transmission matrix of a highly scattering material using a DMD and phase retrieval techniques. Opt. Express 23, 11898 (2015)
M. Kim, W. Choi, Y. Choi, C. Yoon, W. Choi, Transmission matrix of a scattering medium and its applications in biophotonics. Opt. Express 23, 12648 (2015)
J. Xu, H. Ruan, Y. Liu, H. Zhou, C. Yang, Focusing light through scattering media by transmission matrix inversion. Opt. Express 25, 27234 (2017)
D.H. Kim, A. Abraham, A hybrid genetic algorithm and bacterial foraging approach for global optimization and robust tuning of PID controller with disturbance rejection. Inf. Sci. Int. J. 177, 3918–3937 (2007)
M. Qian, Z. Haoyi, W. Yanling, L. Liang, C. Wenjin, H. Xiaoxue, L. Shirong, Analysis of charge-exchange spectroscopy data by combining genetic and Gauss–Newton algorithms. J. Quant. Spectrosc. Radiat. Transfer 166, 74–80 (2015)
X.X. Shao, X.J. Dai, X.Y. He, Noise robustness and parallel computation of the inverse compositional Gauss–Newton algorithm in digital image correlation. Opt. Lasers Eng. 71, 9–19 (2015)
Y. Su, Q. Zhang, X. Xu, Z. Gao, S. Wu, Interpolation bias for the inverse compositional Gauss–Newton algorithm in digital image correlation. Opt. Lasers Eng. 100, 267–278 (2018)
J. Goodman, Speckle Phenomena in Optics, vol. 2 (Roberts & Company, Englewood, 2007)
Acknowledgements
This research was supported by the National Natural Science Foundation of China (Grant nos. 61377054 and 61675140) and Graduate Student’s Research and Innovation Fund of Sichuan University (Grant no. 2018YJSY005).
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Fang, L., Zuo, H., Xu, Y. et al. Focusing light through scattering media by combining genetic and Gauss–Newton algorithms. Appl. Phys. B 125, 94 (2019). https://doi.org/10.1007/s00340-019-7205-0
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DOI: https://doi.org/10.1007/s00340-019-7205-0