Abstract

We develop a method for synthesis of a desired intensity profile at the output of a multimode fiber (MMF) with random mode coupling by controlling the input field distribution using a spatial light modulator (SLM) whose complex reflectance is piecewise constant over a set of disjoint blocks. Depending on the application, the desired intensity profile may be known or unknown a priori. We pose the problem as optimization of an objective function quantifying, and derive a theoretical lower bound on the achievable objective function. We present an adaptive sequential coordinate ascent (SCA) algorithm for controlling the SLM, which does not require characterizing the full transfer characteristic of the MMF, and which converges to near the lower bound after one pass over the SLM blocks. This algorithm is faster than optimizations based on genetic algorithms or random assignment of SLM phases. We present simulated and experimental results applying the algorithm to forming spots of light at a MMF output, and describe how the algorithm can be applied to imaging.

© 2012 OSA

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2011 (6)

2010 (2)

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]

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

2009 (2)

2008 (4)

B. D. Mangum, C. Mu, and J. M. Gerton, “Resolving single fluorophores within dense ensembles: contrast limits of tip-enhanced fluorescence microscopy,” Opt. Express 16(9), 6183–6193 (2008).
[CrossRef] [PubMed]

M. Dienerowitz, M. Mazilu, and K. Dholakia, “Optical manipulation of nanoparticles: a review,” J. Nanophotonics 2, 1–32 (2008).

I. M. Vellekoop and A. P. Mosk, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101(12), 120601 (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 (2)

2000 (1)

1980 (1)

Baumgartl, J.

Bessarab, D.

Bianchi, S.

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]

Bomberg, Y.

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

Brown, C. T. A.

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]

Chow, T. H.

Cižmár, T.

Dholakia, K.

Di Leonardo, R.

Dienerowitz, M.

M. Dienerowitz, M. Mazilu, and K. Dholakia, “Optical manipulation of nanoparticles: a review,” J. Nanophotonics 2, 1–32 (2008).

Dlugan, A. L. P.

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]

Garside, B. K.

Gerton, J. M.

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]

Harris, J.

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Herrington, C. S.

Jones, C. M.

Kahn, J. M.

Katz, O.

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

Kosmeier, S.

Krivitsky, L.

Lane, P. M.

Lee, D.

Lee, W. M.

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]

Lim, T. K.

Macaulay, C. E.

Mangum, B. D.

Marton, J. P.

Mazilu, M.

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, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101(12), 120601 (2008).
[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]

Mu, C.

Ng, B. K.

Panicker, R. A.

Pierce, M. C.

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]

Provine, J.

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Ra, H.

Richards-Kortum, R.

Riviore, K.

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Sarmiento, T.

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Shambat, G.

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Shin, H. J.

Sibbett, W.

Silberberg, Y.

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

Sim, N.

Small, E.

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

Solgaard, O.

Taguichi, K.

Tan, K. M.

Vellekoop, I. M.

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, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101(12), 120601 (2008).
[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]

Vuckovic, J.

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Appl. Phys. Lett. (1)

G. Shambat, J. Provine, K. Riviore, T. Sarmiento, J. Harris, and J. Vučković, “Optical fiber tips functionalized with semiconductor photonic crystal cavities,” Appl. Phys. Lett. 99(19), 191102 (2011).
[CrossRef]

Biomed. Opt. Express (1)

J. Lightwave Technol. (1)

J. Nanophotonics (1)

M. Dienerowitz, M. Mazilu, and K. Dholakia, “Optical manipulation of nanoparticles: a review,” J. Nanophotonics 2, 1–32 (2008).

J. Opt. Soc. Am. (1)

Nat. Photonics (2)

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

Opt. Commun. (1)

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 (6)

Opt. Lett. (2)

Phys. Rev. Lett. (2)

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 A. P. Mosk, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101(12), 120601 (2008).
[CrossRef] [PubMed]

Other (4)

A. d'Aspremont and S. P. Boyd, “Relaxations and randomized methods for nonconvex QCQPs,” http://www.stanford.edu/class/ee364b/lectures/relaxations.pdf .

K. J. Boucher, C. Jan, J. M. Kahn, J. P. Wilde, and O. Solgaard, “Spot formation and scanning microscopy via multimode fibers,” in 2011 IEEE Photonics Conference (PHO) (IEEE, 2011), pp. 713–714.

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 2002).

S. P. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, New York, 2004).

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