Abstract

We introduce genetic algorithms (GA) for wavefront control to focus light through highly scattering media. We theoretically and experimentally compare GAs to existing phase control algorithms and show that GAs are particularly advantageous in low signal-to-noise environments.

© 2012 OSA

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References

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  1. I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32(16), 2309–2311 (2007).
    [CrossRef] [PubMed]
  2. I. M. Vellekoop and A. P. Mosk, “Phase control algorithms for focusing light through turbid media,” Opt. Commun. 281(11), 3071–3080 (2008).
    [CrossRef]
  3. M. Cui, “Parallel wavefront optimization method for focusing light through random scattering media,” Opt. Lett. 36(6), 870–872 (2011).
    [CrossRef] [PubMed]
  4. 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(10), 100601 (2010).
    [CrossRef] [PubMed]
  5. I. M. Vellekoop and C. M. Aegerter, “Focusing light through living tissue,” Proc. SPIE 7554, 755430, 755430-10 (2010).
    [CrossRef]
  6. Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, “Optical phase conjugation for turbidity suppression in biological samples,” Nat. Photonics 2(2), 110–115 (2008).
    [CrossRef] [PubMed]
  7. 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(4), 3444–3455 (2010).
    [CrossRef] [PubMed]
  8. C. L. Hsieh, Y. Pu, R. Grange, and D. Psaltis, “Digital phase conjugation of second harmonic radiation emitted by nanoparticles in turbid media,” Opt. Express 18(12), 12283–12290 (2010).
    [CrossRef] [PubMed]
  9. T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
    [CrossRef] [PubMed]
  10. I. M. Vellekoop and C. M. Aegerter, “Scattered light fluorescence microscopy: imaging through turbid layers,” Opt. Lett. 35(8), 1245–1247 (2010).
    [CrossRef] [PubMed]
  11. T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4(6), 388–394 (2010).
    [CrossRef]
  12. B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
    [CrossRef] [PubMed]
  13. V. Nikolenko, K. E. Poskanzer, and R. Yuste, “Two-photon photostimulation and imaging of neural circuits,” Nat. Methods 4(11), 943–950 (2007).
    [CrossRef] [PubMed]
  14. R. L. Haupt and S. E. Haupt, Practical Genetic Algorithms, 2nd ed. (John Wiley & Sons, 2004).
  15. U. Mahlab, J. Shamir, and H. J. Caulfield, “Genetic algorithm for optical pattern recognition,” Opt. Lett. 16(9), 648–650 (1991).
    [CrossRef] [PubMed]
  16. D. B. Conkey, A. Brown, A. Caravaca, and R. Piestun, "Genetic algorithm optimization of phase masks for focusing light through turbid media," in Novel Techniques in Microscopy, OSA Technical Digest (CD) (Optical Society of America, 2011), paper NTuA5.
  17. O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
    [CrossRef]

2011

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
[CrossRef]

M. Cui, “Parallel wavefront optimization method for focusing light through random scattering media,” Opt. Lett. 36(6), 870–872 (2011).
[CrossRef] [PubMed]

2010

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(4), 3444–3455 (2010).
[CrossRef] [PubMed]

I. M. Vellekoop and C. M. Aegerter, “Scattered light fluorescence microscopy: imaging through turbid layers,” Opt. Lett. 35(8), 1245–1247 (2010).
[CrossRef] [PubMed]

C. L. Hsieh, Y. Pu, R. Grange, and D. Psaltis, “Digital phase conjugation of second harmonic radiation emitted by nanoparticles in turbid media,” Opt. Express 18(12), 12283–12290 (2010).
[CrossRef] [PubMed]

T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4(6), 388–394 (2010).
[CrossRef]

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(10), 100601 (2010).
[CrossRef] [PubMed]

I. M. Vellekoop and C. M. Aegerter, “Focusing light through living tissue,” Proc. SPIE 7554, 755430, 755430-10 (2010).
[CrossRef]

2009

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

2008

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, “Optical phase conjugation for turbidity suppression in biological samples,” Nat. Photonics 2(2), 110–115 (2008).
[CrossRef] [PubMed]

I. M. Vellekoop and A. P. Mosk, “Phase control algorithms for focusing light through turbid media,” Opt. Commun. 281(11), 3071–3080 (2008).
[CrossRef]

2007

V. Nikolenko, K. E. Poskanzer, and R. Yuste, “Two-photon photostimulation and imaging of neural circuits,” Nat. Methods 4(11), 943–950 (2007).
[CrossRef] [PubMed]

I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32(16), 2309–2311 (2007).
[CrossRef] [PubMed]

1998

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

1991

Aegerter, C. M.

I. M. Vellekoop and C. M. Aegerter, “Scattered light fluorescence microscopy: imaging through turbid layers,” Opt. Lett. 35(8), 1245–1247 (2010).
[CrossRef] [PubMed]

I. M. Vellekoop and C. M. Aegerter, “Focusing light through living tissue,” Proc. SPIE 7554, 755430, 755430-10 (2010).
[CrossRef]

Boccara, A. C.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Bromberg, Y.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
[CrossRef]

Burns, L. D.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

Carminati, R.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Caulfield, H. J.

Cižmár, T.

T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4(6), 388–394 (2010).
[CrossRef]

Cui, M.

Dholakia, K.

T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4(6), 388–394 (2010).
[CrossRef]

Dougherty, T. J.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Feld, M. S.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, “Optical phase conjugation for turbidity suppression in biological samples,” Nat. Photonics 2(2), 110–115 (2008).
[CrossRef] [PubMed]

Fink, M.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Ghosh, K. K.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

Gigan, S.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Gomer, C. J.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Grange, R.

Henderson, B. W.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Hsieh, C. L.

Jori, G.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Katz, O.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
[CrossRef]

Kessel, D.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Korbelik, M.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Lerosey, G.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Mahlab, U.

Mazilu, M.

T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4(6), 388–394 (2010).
[CrossRef]

Moan, J.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Mosk, A. P.

I. M. Vellekoop and A. P. Mosk, “Phase control algorithms for focusing light through turbid media,” Opt. Commun. 281(11), 3071–3080 (2008).
[CrossRef]

I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32(16), 2309–2311 (2007).
[CrossRef] [PubMed]

Mukamel, E. A.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

Nikolenko, V.

V. Nikolenko, K. E. Poskanzer, and R. Yuste, “Two-photon photostimulation and imaging of neural circuits,” Nat. Methods 4(11), 943–950 (2007).
[CrossRef] [PubMed]

Peng, Q.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Popoff, S. M.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Poskanzer, K. E.

V. Nikolenko, K. E. Poskanzer, and R. Yuste, “Two-photon photostimulation and imaging of neural circuits,” Nat. Methods 4(11), 943–950 (2007).
[CrossRef] [PubMed]

Psaltis, D.

C. L. Hsieh, Y. Pu, R. Grange, and D. Psaltis, “Digital phase conjugation of second harmonic radiation emitted by nanoparticles in turbid media,” Opt. Express 18(12), 12283–12290 (2010).
[CrossRef] [PubMed]

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, “Optical phase conjugation for turbidity suppression in biological samples,” Nat. Photonics 2(2), 110–115 (2008).
[CrossRef] [PubMed]

Pu, Y.

Schnitzer, M. J.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

Shamir, J.

Silberberg, Y.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
[CrossRef]

Small, E.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
[CrossRef]

Vellekoop, I. M.

I. M. Vellekoop and C. M. Aegerter, “Scattered light fluorescence microscopy: imaging through turbid layers,” Opt. Lett. 35(8), 1245–1247 (2010).
[CrossRef] [PubMed]

I. M. Vellekoop and C. M. Aegerter, “Focusing light through living tissue,” Proc. SPIE 7554, 755430, 755430-10 (2010).
[CrossRef]

I. M. Vellekoop and A. P. Mosk, “Phase control algorithms for focusing light through turbid media,” Opt. Commun. 281(11), 3071–3080 (2008).
[CrossRef]

I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32(16), 2309–2311 (2007).
[CrossRef] [PubMed]

Wei Ho, E. T.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

Wilt, B. A.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

Yang, C.

Yaqoob, Z.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, “Optical phase conjugation for turbidity suppression in biological samples,” Nat. Photonics 2(2), 110–115 (2008).
[CrossRef] [PubMed]

Yuste, R.

V. Nikolenko, K. E. Poskanzer, and R. Yuste, “Two-photon photostimulation and imaging of neural circuits,” Nat. Methods 4(11), 943–950 (2007).
[CrossRef] [PubMed]

Annu. Rev. Neurosci.

B. A. Wilt, L. D. Burns, E. T. Wei Ho, K. K. Ghosh, E. A. Mukamel, and M. J. Schnitzer, “Advances in light microscopy for neuroscience,” Annu. Rev. Neurosci. 32(1), 435–506 (2009).
[CrossRef] [PubMed]

J. Natl. Cancer Inst.

T. J. Dougherty, C. J. Gomer, B. W. Henderson, G. Jori, D. Kessel, M. Korbelik, J. Moan, and Q. Peng, “Photodynamic therapy,” J. Natl. Cancer Inst. 90(12), 889–905 (1998).
[CrossRef] [PubMed]

Nat. Methods

V. Nikolenko, K. E. Poskanzer, and R. Yuste, “Two-photon photostimulation and imaging of neural circuits,” Nat. Methods 4(11), 943–950 (2007).
[CrossRef] [PubMed]

Nat. Photonics

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, “Optical phase conjugation for turbidity suppression in biological samples,” Nat. Photonics 2(2), 110–115 (2008).
[CrossRef] [PubMed]

T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4(6), 388–394 (2010).
[CrossRef]

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, “Focusing and compression of ultrashort pulses through scattering media,” Nat. Photonics 5(6), 372–377 (2011).
[CrossRef]

Opt. Commun.

I. M. Vellekoop and A. P. Mosk, “Phase control algorithms for focusing light through turbid media,” Opt. Commun. 281(11), 3071–3080 (2008).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

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(10), 100601 (2010).
[CrossRef] [PubMed]

Proc. SPIE

I. M. Vellekoop and C. M. Aegerter, “Focusing light through living tissue,” Proc. SPIE 7554, 755430, 755430-10 (2010).
[CrossRef]

Other

R. L. Haupt and S. E. Haupt, Practical Genetic Algorithms, 2nd ed. (John Wiley & Sons, 2004).

D. B. Conkey, A. Brown, A. Caravaca, and R. Piestun, "Genetic algorithm optimization of phase masks for focusing light through turbid media," in Novel Techniques in Microscopy, OSA Technical Digest (CD) (Optical Society of America, 2011), paper NTuA5.

Supplementary Material (1)

» Media 1: MOV (2496 KB)     

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Figures (6)

Fig. 1
Fig. 1

A block diagram showing the steps of the genetic algorithm: (1) A population of phase masks is created. (2) The cost function of each mask is measured and the masks ranked. (3) Breeding is implemented, with the breeding parent phase mask being selected with a higher probability if it is higher ranked. The new offspring mask is created by combining the ma and pa masks using the breeding template, T, and mutating x input modes of the new mask. (4) The cost function of this new offspring mask is then measured and used to place it within the population. (5) The process repeats for a certain number of iterations or until a satisfactory solution is achieved.

Fig. 2
Fig. 2

Simulations of the genetic algorithm (GA), continuous sequential algorithm (CSA), transmission matrix focusing (TM), and the partitioning algorithm (PA) comparing the enhancement of the focus to the number of measurements with varying noise levels. (a) Additive Gaussian noise at 30 percent of the initial average intensity, 〈I0〉. (b) 60 percent noise. (c) 100 percent noise. (d) 200 percent noise.

Fig. 3
Fig. 3

(a) The experimental setup. LC-SLM: liquid crystal – spatial light modulator. fA, fB, and ft: lenses. 100X and 20X: objective lenses. S: scattering sample. P: linear polarizer. (b) The speckle field of light after passing through scattering material. (c) A focus spot created using the genetic algorithm. Signal to background ratio: 50. (d-f) Experimental results of the genetic algorithm (GA), continuous sequential algorithm (CSA), the transmission matrix (TM), and the partition algorithm (PA) focusing methods. (d) (Media 1) With noise at 7 percent of initial average intensity, 〈I0〉, (e) 18 percent of 〈I0〉, and (f) 25 percent of 〈I0〉.

Fig. 4
Fig. 4

Comparison of the focal spots created after 500, 1000, 1500, 2000, and 2500 measurements under high noise conditions (corresponding to Fig. 3f) with the GA, CSA, TM and PA methods. The intensities are normalized with respect to the maximum intensity attained with the GA algorithm after 2500 measurements.

Fig. 5
Fig. 5

(a) Comparison of the GA simulated with Tp = 2560 measurements for 256, 1024, and 4096 input modes. The inset shows the standard deviation of the enhancement for the 500 simulated runs. (b) Comparison of the GA simulated with population sizes of 20, 30 and 40. The inset shows the standard deviation of the enhancement for the 500 simulated runs.

Fig. 6
Fig. 6

Simulations of the genetic algorithm (GA), continuous sequential algorithm (CSA), transmission matrix focusing (TM), and the partitioning algorithm (PA) comparing the enhancement of the focus to the number of measurements with varying noise levels with low persistence time (Tp = 2560 measurements). (a) Additive Gaussian noise at 30 percent of the initial average intensity, 〈I0〉. (b) 60 percent noise. (c) 100 percent noise. (d) 200 percent noise.

Tables (1)

Tables Icon

Table 1 GA parameters used in various simulations and experiments reported in this paper. The section number indicated identifies the corresponding simulation or experiment.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

E m = n N t mn A n e i ϕ n ,
I m = 1 N | n N t mn e i ϕ n | 2 .

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