Abstract

The field transmitted through disordered media is essentially a randomly sampled version of the incident field. Properties of the initial field can be recovered if this sampling function or transmission matrix is known. Here we demonstrate how the transmission matrix of a disordered material can be used to simultaneously measure the spectral and polarimetric properties of an optical field.

© 2010 Optical Society of America

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References

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  1. I. Freund, Physica A (Amsterdam) 168, 49 (1990).
    [CrossRef]
  2. A. Derode, A. Tourin, and M. Fink, Ultrasonics 40, 275 (2002).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  5. Z. Xu, Z. Wang, M. Sullivan, D. Brady, S. Foulger, and A. Adibi, Opt. Express 11, 2126 (2003).
    [CrossRef] [PubMed]
  6. T. Kohlgraf-Owens and A. Dogariu, Opt. Express 16, 13225 (2008).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  9. M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
    [CrossRef]
  10. I. Freund, Opt. Lett. 15, 1425 (1990).
    [CrossRef] [PubMed]
  11. E. Collett, Polarized Light Fundamentals and Applications (Marcel Dekker, 1993).

2010

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

2009

2008

2007

2004

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

2003

2002

A. Derode, A. Tourin, and M. Fink, Ultrasonics 40, 275 (2002).
[CrossRef] [PubMed]

1999

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

1993

E. Collett, Polarized Light Fundamentals and Applications (Marcel Dekker, 1993).

1990

I. Freund, Opt. Lett. 15, 1425 (1990).
[CrossRef] [PubMed]

I. Freund, Physica A (Amsterdam) 168, 49 (1990).
[CrossRef]

Adibi, A.

Boccara, A. C.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

Brady, D.

Carminati, R.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

Collett, E.

E. Collett, Polarized Light Fundamentals and Applications (Marcel Dekker, 1993).

de Rosny, J.

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

Derode, A.

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

A. Derode, A. Tourin, and M. Fink, Ultrasonics 40, 275 (2002).
[CrossRef] [PubMed]

Dogariu, A.

Fink, M.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

A. Derode, A. Tourin, and M. Fink, Ultrasonics 40, 275 (2002).
[CrossRef] [PubMed]

Foulger, S.

Freund, I.

I. Freund, Opt. Lett. 15, 1425 (1990).
[CrossRef] [PubMed]

I. Freund, Physica A (Amsterdam) 168, 49 (1990).
[CrossRef]

Gigan, S.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

Kohlgraf-Owens, T.

Lerosey, G.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

Montaldo, G.

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

Mosk, A. P.

Nieuwenhuizen, T. M.

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

Popoff, S. M.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

Sullivan, M.

Tourin, A.

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

A. Derode, A. Tourin, and M. Fink, Ultrasonics 40, 275 (2002).
[CrossRef] [PubMed]

van Rossum, M. C. W.

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

Vellekoop, I. M.

Wang, Z.

Xu, Z.

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, Phys. Rev. Lett. 92, 193904 (2004).
[CrossRef] [PubMed]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef] [PubMed]

Physica A (Amsterdam)

I. Freund, Physica A (Amsterdam) 168, 49 (1990).
[CrossRef]

Rev. Mod. Phys.

M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
[CrossRef]

Ultrasonics

A. Derode, A. Tourin, and M. Fink, Ultrasonics 40, 275 (2002).
[CrossRef] [PubMed]

Other

E. Collett, Polarized Light Fundamentals and Applications (Marcel Dekker, 1993).

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Figures (3)

Fig. 1
Fig. 1

Left panel, Poincaré sphere representation of the measured polarization states using different groups of fiber cores (blue crosses) and the average measured state (white dot) for a V incident state. Right panel, normalized spectrum recovered using the new scattering-based procedure (Reconstruction) and the input spectrum measured by a typical spectrometer (Spectrum) with 3 nm spectral resolution.

Fig. 2
Fig. 2

Input and recovered complex spectra. The polarization state was constant across both spectra.

Fig. 3
Fig. 3

Input and recovered optical fields with spectrally varying states of polarization. The arrows indicate the spectral bin represented on the Poincaré spheres. The color code is the same as in Fig. 1, except that the dashed spectral curve was smoothed with a 1.5-nm-wide window.

Equations (3)

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I = M ¯ S ,
I i = M i ¯ ( λ ) S ( λ ) d λ .
I i Σ λ M ¯ i ( λ ) S ( λ ) .

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