Browse > Article
http://dx.doi.org/10.3807/COPP.2019.3.6.496

Transmission Matrix Noise Elimination for an Optical Disordered Medium  

Wang, Lin (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Li, Yangyan (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Xin, Yu (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Wang, Jue (College of Electrical, Energy and Power Engineering, Yangzhou University)
Chen, Yanru (School of Electronic and Optical Engineering, Nanjing University of Science and Technology)
Publication Information
Current Optics and Photonics / v.3, no.6, 2019 , pp. 496-501 More about this Journal
Abstract
We propose a method to eliminate the noise of a disordered medium optical transmission matrix. Gaussian noise exists whenever light passes through the medium, during the measurement of the transmission matrix and thus cannot be ignored. Experiments and comparison of noise eliminating before and after are performed to illustrate the effectiveness and advance presented by our method. After noise elimination, the results of focusing and imaging are better than the effect before noise elimination, and the measurement of the transmission matrix is more consistent with the theoretical analysis as well.
Keywords
Disordered medium; Transmission matrix; Noise eliminating; Hadamard basis;
Citations & Related Records
연도 인용수 순위
  • Reference
1 A. Ishimaru, Wave propagation and scattering in random media (Academic Press, New York, USA, 1978), Vol. 2.
2 M. Kerker, The scattering of light and other electromagnetic radiation: physical chemistry: a series of monographs (Academic Press, New York, USA, 2013), Vol. 16, pp. 189-254.
3 P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 109, 1492 (1958).   DOI
4 M. Cui and C. Yang, "Implementation of a digital optical phase conjugation system and its application to study the robustness of turbidity suppression by phase conjugation," Opt. Express 18, 3444-3455 (2010).   DOI
5 S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and 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).   DOI
6 M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, "Maximal energy transport through disordered media with the implementation of transmission eigenchannels," Nat. Photonics 6, 581-585 (2012).   DOI
7 A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, "Controlling waves in space and time for imaging and focusing in complex media," Nat. Photonics 6, 283-292 (2012).   DOI
8 Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, "Polarization control of multiply scattered light through random media by wavefront shaping," Opt. Lett. 37, 4663-4665 (2012).   DOI
9 H. Cao, J. Y. Xu, D. Z. Zhang, S.-H. Chang, S. T. Ho, E. W. Seelig, X. Liu, and R. P. H. Chang, "Spatial confinement of laser light in active random media," Phys. Rev. Lett. 84, 5584 (2000).   DOI
10 Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, "Overcoming the diffraction limit using multiple light scattering in a highly disordered medium," Phys. Rev. Lett. 107, 023902 (2011).   DOI
11 A. Dremeau, A. Liutkus, D. Martina, O. Katz, C. Schulke, F. Krzakala, S. Gigan, and L. Daudet, "Reference-less measurement of the transmission matrix of a highly scattering material using a DMD and phase retrieval techniques," Opt. Express 23, 11898-11911 (2015).   DOI
12 X. Tao, D. Bodington, M. Reinig, and J. Kubby, "High-speed scanning interferometric focusing by fast measurement of binary transmission matrix for channel demixing," Opt. Express 23, 14168-14187 (2015).   DOI
13 A. A. Farid and S. Hranilovic, "Capacity bounds for wireless optical intensity channels with gaussian noise," IEEE Trans. Inf. Theory 56, 6066-6077 (2010).   DOI
14 J. Brenner and L. Cummings, "The hadamard maximum determinant problem," Am. Math. Mon. 79, 626-630 (1972).   DOI
15 W. K. Pratt, J. Kane, and H. C. Andrews, "Hadamard transform image coding," Proc. IEEE 57, 58-68 (1969).   DOI
16 I. M. Vellekoop and A. P. Mosk, "Focusing coherent light through opaque strongly scattering media," Opt. Lett. 32, 2309-2311 (2007).   DOI
17 N. J. A. Sloane and M. Harwit, "Masks for hadamard transform optics, and weighing designs," Appl. Opt. 15, 107-114 (1976).   DOI
18 Y. Shen, Y. Liu, C. Ma, and L. V. Wang, "Focusing light through scattering media by full-polarization digital optical phase conjugation," Opt. Lett. 41, 1130-1133 (2016).   DOI
19 V. Bacot, M. Labousse, A. Eddi, M. Fink, and E. Fort, "Time reversal and holography with spacetime transformations," Nat. Phys. 12, 972-977 (2016).   DOI
20 J. A. Tropp, "Improved analysis of the subsampled randomized hadamard transform," Adv. Adapt. Data Anal. 3, 115-126 (2011).   DOI
21 J. Schwider, O. R. Falkenstoerfer, H. Schreiber, A. Zoeller, and N. Streibl, "New compensating four-phase algorithm for phase-shift interferometry," Opt. Eng. 32, 1883-1886 (1993).   DOI
22 P. Hariharan, B. F. Oreb, and T. Eiju, "Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm," Appl. Opt. 26, 2504-2506 (1987).   DOI
23 P. Hariharan, "Phase-shifting interferometry: minimization of systematic errors," Opt. Eng. 39, 967-969 (2000).   DOI
24 M. Jang, H. Ruan, I. M. Vellekoop, B. Judkewitz, E. Chung, and C. Yang, "Relation between speckle decorrelation and optical phase conjugation (OPC)-based turbidity suppression through dynamic scattering media: a study on in vivo mouse skin," Biomed. Opt. Express 6, 72-85 (2015).   DOI
25 D. Wang, E. H. Zhou, J. Brake, H. Ruan, M. Jang, and C. Yang, "Focusing through dynamic tissue with millisecond digital optical phase conjugation," Optica 2, 728-735 (2015).   DOI
26 J. Park, C. Park, K. Lee, Y.-H. Cho, and Y. Park, "Timereversing a monochromatic subwavelength optical focus by optical phase conjugation of multiply-scattered light," Sci. Rep. 7, 41384 (2017).   DOI
27 C. W. Hsu, S. F. Liew, A. Goetschy, H. Cao, and A. D. Stone, "Correlation-enhanced control of wave focusing in disordered media," Nat. Phys. 13, 497-502 (2017).   DOI
28 A. E. Fouda and F. L. Teixeira, "Statistical stability of ultrawideband time-reversal imaging in random media," IEEE Trans. Geosci. Remote Sens. 52, 870-879 (2014).   DOI
29 A. Edelman and N. R. Rao, "Random matrix theory," Acta Numerica. 14, 233-297 (2005).   DOI
30 V. A. Marcenko and L. A. Pastur, "Distribution of eigenvalues for some sets of random matrices," Math. USSR-Sbornik 1, 457 (1967).   DOI