Rapid measurement of transmission matrix with the sequential semi-definite programming method

doi:10.1088/1674-1056/27/8/084201

中国物理B ›› 2018, Vol. 27 ›› Issue (8): 84201-084201.doi: 10.1088/1674-1056/27/8/084201

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Rapid measurement of transmission matrix with the sequential semi-definite programming method

Zhenfeng Zhang(张振峰), Bin Zhang(张彬), Qi Feng(冯祺), Huimei He(何惠梅), Yingchun Ding(丁迎春)

Department of Physics, Beijing University of Chemical Technology, Beijing, China

收稿日期:2018-04-12 修回日期:2018-05-14 出版日期:2018-08-05 发布日期:2018-08-05
通讯作者: Yingchun Ding E-mail:dingyc@mail.buct.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2017YFB1104500), the Natural Science Foundation of Beijing (Grant No. 7182091), and the National Natural Science Foundation of China (Grant No. 21627813).

Rapid measurement of transmission matrix with the sequential semi-definite programming method

Zhenfeng Zhang(张振峰), Bin Zhang(张彬), Qi Feng(冯祺), Huimei He(何惠梅), Yingchun Ding(丁迎春)

Department of Physics, Beijing University of Chemical Technology, Beijing, China

Received:2018-04-12 Revised:2018-05-14 Online:2018-08-05 Published:2018-08-05
Contact: Yingchun Ding E-mail:dingyc@mail.buct.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2017YFB1104500), the Natural Science Foundation of Beijing (Grant No. 7182091), and the National Natural Science Foundation of China (Grant No. 21627813).

摘要/Abstract

摘要：

This paper puts forward for the first time a combined transmission matrix (TM) method to measure the monochromatic TM of scattering media without a reference beam. This method can be named a sequential semi-definite programming method which combines the sequential algorithm and the semi-definite programming method. Firstly, each part of the TM is calculated respectively in proper sequence. Then every part of TM is combined to form a complete TM in accordance with a certain rule. The phase modulation of the incident light is achieved by using a high speed digital mirror device with the superpixel method. We have experimentally demonstrated that the incident light field is focused at the target through scattering media using the measured TM to optimize the wavefront of the incident light. Compared with the semi-definite programming method, our method takes less computational time and occupies less memory space. The sequential semi-definite programming method shows potential applications in imaging through biological tissues.

关键词: multiple scattering, transmission matrix, phase retrieval, superpixel

Abstract:

Key words: multiple scattering, transmission matrix, phase retrieval, superpixel

中图分类号: (Optical system design)

42.15.Eq

42.25.Dd (Wave propagation in random media) 42.25.Fx (Diffraction and scattering) 42.30.Rx (Phase retrieval)

张振峰, 张彬, 冯祺, 何惠梅, 丁迎春. Rapid measurement of transmission matrix with the sequential semi-definite programming method[J]. 中国物理B, 2018, 27(8): 84201-084201.

Zhenfeng Zhang(张振峰), Bin Zhang(张彬), Qi Feng(冯祺), Huimei He(何惠梅), Yingchun Ding(丁迎春). Rapid measurement of transmission matrix with the sequential semi-definite programming method[J]. Chin. Phys. B, 2018, 27(8): 84201-084201.

参考文献 17

[1]	Dremeau A, Liutkus A, Martina D, Katz O, Schulke C, Krzakala F, Gigan S and Daudet L 2015 Opt. Express 23 11898
[2]	Horstmeyer R, Ruan H and Yang C 2015 Nat. Photon. 9 563
[3]	Nikolopoulos G M and Diamanti E 2017 Sci. Rep. 7 46047
[4]	Yang Z, Zhao L, Zhao X, Qin W and Li J 2016 Chin. Phys. B 25 024202
[5]	Vellekoop I M and Mosk A P 2007 Opt. Lett. 32 2309
[6]	Conkey D B, Brown A N, Caravaca-Aguirre A M and Piestun R 2012 Opt. Express 5 4840
[7]	Vellekoop I M and Mosk A P 2008 Opt. Commun. 281 3071
[8]	Feng Q, Zhang B, Liu Z, Lin C and Ding Y 2017 Appl. Opt. 56 3240
[9]	Popoff S M, Lerosey G, Carminati R, Fink M, Boccara A C and Gigan S 2010 Phys. Rev. Lett. 104 100601
[10]	Popoff S M, Lerosey G, Fink M, Boccara A C and Gigan S 2011 New J. Phys. 13 1
[11]	Conkey D B, Caravaca-Aguirre A M and Piestun R 2012 Opt. Express 20 1733
[12]	Metzler C A, Sharma M K, Nagesh S, Baraniuk R G, Cossairt O and Veeraraghavan A 2017 IEEE International Conference on Computational Photography, May 12-14, 2017, California, USA, p. 1
[13]	N'Gom M, Lien M B, Estakhri N M, Norris T B and Michielssen E 2017 Sci. Rep. 7 2518
[14]	Goorden S A, Bertolotti J and Mosk A P 2014 Opt. Express 22 17999
[15]	Jia Y, Feng Q, Zhang B, Wang W, Lin C and Ding Y 2018 Chin. Phys. Lett. 35 054203
[16]	Waldspurger I, D'Aspremont A and Mallat A S 2015 Math. Program. 149 47
[17]	Yu H, Park J and Park Y 2015 Opt. Commun. 352 33

Rapid measurement of transmission matrix with the sequential semi-definite programming method

Rapid measurement of transmission matrix with the sequential semi-definite programming method

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 17

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xiao-Gang Wang(汪小刚) and Hao-Yu Wei(魏浩宇). Deep-learning-based cryptanalysis of two types of nonlinear optical cryptosystems[J]. 中国物理B, 2022, 31(9): 94202-094202.
[2]	Fang Xue(薛芳), Ya-Xuan Duan(段亚轩), Xiao-Yi Chen(陈晓义), Ming Li(李铭), Suo-Chao Yuan(袁索超), and Zheng-Shang Da(达争尚). Broad-band phase retrieval method for transient radial shearing interference using chirp Z transform technique[J]. 中国物理B, 2021, 30(8): 84209-084209.
[3]	Ji-Yu Xue(薛积禹), Yun-Hua Cao(曹运华), Zhen-Sen Wu(吴振森), Jie Chen(陈杰), Yan-Hui Li(李艳辉), Geng Zhang(张耿), Kai Yang(杨凯), and Ruo-Ting Gao(高若婷). Multiple scattering and modeling of laser in fog[J]. 中国物理B, 2021, 30(6): 64206-064206.
[4]	Xi-Cheng Zhang(张熙程), Zuo-Gang Yang(杨佐刚), Long-Jie Fang(方龙杰), Jing-Lei Du(杜惊雷), Zhi-You Zhang(张志友), and Fu-Hua Gao(高福华). Phase-shift interferometry measured transmission matrix of turbid medium: Three-step phase-shifting interference better than four-step one[J]. 中国物理B, 2021, 30(10): 104202-104202.
[5]	吕新晶, 徐新羽, 冯祺, 张彬, 丁迎春, 柳强. High-contrast imaging based on wavefront shaping to improve low signal-to-noise ratio photoacoustic signals using superpixel method[J]. 中国物理B, 2020, 29(3): 34301-034301.
[6]	王诗晴, 孟祥锋, 王玉荣, 殷永凯, 杨修伦. Phase retrieval algorithm for optical information security[J]. 中国物理B, 2019, 28(8): 84203-084203.
[7]	荣锋, 高艳, 郭翠娟, 徐微, 徐伟. Theory and method of dual-energy x-ray grating phase-contrast imaging[J]. 中国物理B, 2019, 28(10): 108702-108702.
[8]	谢涛, 方贺, 赵立, 于文金, 何宜军. Effective dielectric constant model of electromagnetic backscattering from stratified air-sea surface film-sea water medium[J]. 中国物理B, 2017, 26(5): 54102-054102.
[9]	夏心怡, 夏军. Phase-only stereoscopic hologram calculation based on Gerchberg-Saxton iterative algorithm[J]. 中国物理B, 2016, 25(9): 94204-094204.
[10]	乌日娜, 史瑞新, 邬小娇, 吴杰, 岱钦. Random lasing in dye-doped polymer dispersed liquid crystal film[J]. 中国物理B, 2016, 25(9): 94209-094209.
[11]	雷泽民, 孙晓艳, 吕凤年, 张臻, 卢兴强. Application of optical diffraction method in designing phase plates[J]. 中国物理B, 2016, 25(11): 114201-114201.
[12]	张剑, 范家东, 张建华, 孙智斌, 黄庆捷, 江怀东. Three-dimensional coherent diffraction imaging of Mie-scatteringspheres by laser single-orientation measurement[J]. 中国物理B, 2015, 24(9): 94201-094201.
[13]	刘诚, 朱健强, John Rodenburg. Influence of the illumination coherency and illumination aperture on the ptychographic iterative microscopy[J]. 中国物理B, 2015, 24(2): 24201-024201.
[14]	杨浩, 轩瑞娇, 胡春红, 段敬豪. Improvement and error analysis of quantitative information extraction in diffraction-enhanced imaging[J]. 中国物理B, 2014, 23(4): 48701-048701.
[15]	吴良英, 裴丽, 刘超, 王一群, 翁思俊, 王建帅. Spectral analysis of the UFBG-based acousto–optical modulatorin V-I transmission matrix formalism[J]. , 2014, 23(11): 110702-110702.