Rapid measurement of transmission matrix with the sequential semi-definite programming method
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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 semidefinite 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.
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 semidefinite 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.
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 semidefinite 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.
引文
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[3]Nikolopoulos G M and Diamanti E 2017 Sci.Rep.7 46047
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[13]N’Gom M,Lien M B,Estakhri N M,Norris T B and Michielssen E2017 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
[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 2012Opt.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.Express20 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 E2017 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