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) |
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 |