Abstract

We report on a new experimental method for enhanced backscattering spectroscopy (EBS) of strongly scattering media over a bandwidth from 530–1000 nm. The instrument consists of a supercontinuum light source and an angle-dependent detection system using a fiber-coupled grating spectrometer. Using a combination of two setups, the backscattered intensity is obtained over a large angular range and using circularly polarized light. We present broadband EBS of a TiO2 powder and of a strongly scattering porous GaP layer. In combination with theoretical model fits, the EBS system yields the optical transport mean free path over the available spectral window.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. P. van Albada and A. Lagendijk, ‘Observation of Weak Localization of Light in a Random Medium,’ Phys. Rev. Lett. 55, 2692 (1985)
    [CrossRef] [PubMed]
  2. P.-E. Wolf and G. Maret, ‘Weak Localization and Coherent Backscattering of Photons in Disordered Media,’ Phys. Rev. Lett. 55, 2696 (1985)
    [CrossRef] [PubMed]
  3. R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
    [CrossRef]
  4. K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
    [CrossRef] [PubMed]
  5. Y. L. Kim, Y. Liu, V. M. Turzhitsky, H. K. Roy, R. K. Wali, and V. Backman, ‘Coherent backscattering spectroscopy,’ Opt. Lett. 29, 1906 (2004)
    [CrossRef] [PubMed]
  6. Y. L. Kim, Y. Liu,R. K. Wali, H. K. Roy, and V. Backman, ‘Low-coherent backscattering spectroscopy for tissue characterization,’ Appl. Opt. 44, 366 (2007)
    [CrossRef]
  7. A. A. Chabanov and A. Z. Genack, ‘Photon localization in resonant media,’ Phys. Rev. Lett. 87, 153901 (2001)
    [CrossRef] [PubMed]
  8. M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
    [CrossRef]
  9. A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
    [CrossRef]
  10. D.S. Wiersma, M.P. van Albada, and A. Lagendijk, ‘An accurate technique to record the angular distribution of backscattered light,’ Rev. Sci. Instr. 66, 5473 (1995)
    [CrossRef]
  11. P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
    [CrossRef]
  12. R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
    [CrossRef]
  13. I. M. Vellekoop, P. Lodahl, and A. Lagendijk, ‘Determination of the diffusion constant using phase-sensitive measurements,’ Phys. Rev. E 71, 056604 (2005)
    [CrossRef]
  14. P. Lodahl and A. Lagendijk, ‘Transport of quantum noise through random media,’ Phys. Rev. Lett. 94, 153905 (2005)
    [CrossRef] [PubMed]
  15. A. Lagendijk, R. Vreeker, and P. de Vries, ‘Influence of internal reflection on diffusive transport in strongly scattering media,’ Phys. Lett. A 136, 81 (1989)
    [CrossRef]
  16. J. X. Zhu, D. J. Pine, and D. A. Weitz, ‘Internal reflection of diffusive light in random media,’ Phys. Rev. A 44, 3948 (1991)
    [CrossRef] [PubMed]
  17. M. U. Vera and D. J. Durian, ‘Angular distribution of diffusely transmitted light,’ Phys. Rev. B 53, 3215 (1996)
    [CrossRef]
  18. F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
    [CrossRef] [PubMed]
  19. F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
    [CrossRef]
  20. P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
    [CrossRef]
  21. B. A. van Tiggelen, D. A. Wiersma, and A. Lagendijk, ‘Self-consistent theory for the enhancement factor in coherent backscattering,’ Eur. Phys. Lett. 30, 1 (1995)
    [CrossRef]
  22. S. Fiebig, C.M. Aegerter, W. Bührer, M. Störzer, E. Akkermans, G. Montambaux, and G. Maret, ‘Conservation of energy in coherent backscattering of light,’ cond-mat/0706.0381 (2007).
  23. M. B. van der Mark, M. P. van Albada, and A. Lagendijk, ‘Light scattering in strongly scattering media: Multiple scattering and weak localization,’ Phys. Rev. B 37, 3575 (1988)
    [CrossRef]

2007

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

Y. L. Kim, Y. Liu,R. K. Wali, H. K. Roy, and V. Backman, ‘Low-coherent backscattering spectroscopy for tissue characterization,’ Appl. Opt. 44, 366 (2007)
[CrossRef]

2005

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, ‘Determination of the diffusion constant using phase-sensitive measurements,’ Phys. Rev. E 71, 056604 (2005)
[CrossRef]

P. Lodahl and A. Lagendijk, ‘Transport of quantum noise through random media,’ Phys. Rev. Lett. 94, 153905 (2005)
[CrossRef] [PubMed]

2004

2003

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

2001

A. A. Chabanov and A. Z. Genack, ‘Photon localization in resonant media,’ Phys. Rev. Lett. 87, 153901 (2001)
[CrossRef] [PubMed]

2000

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

1999

F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
[CrossRef] [PubMed]

F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
[CrossRef]

1997

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
[CrossRef]

1996

M. U. Vera and D. J. Durian, ‘Angular distribution of diffusely transmitted light,’ Phys. Rev. B 53, 3215 (1996)
[CrossRef]

1995

B. A. van Tiggelen, D. A. Wiersma, and A. Lagendijk, ‘Self-consistent theory for the enhancement factor in coherent backscattering,’ Eur. Phys. Lett. 30, 1 (1995)
[CrossRef]

D.S. Wiersma, M.P. van Albada, and A. Lagendijk, ‘An accurate technique to record the angular distribution of backscattered light,’ Rev. Sci. Instr. 66, 5473 (1995)
[CrossRef]

1991

J. X. Zhu, D. J. Pine, and D. A. Weitz, ‘Internal reflection of diffusive light in random media,’ Phys. Rev. A 44, 3948 (1991)
[CrossRef] [PubMed]

1989

A. Lagendijk, R. Vreeker, and P. de Vries, ‘Influence of internal reflection on diffusive transport in strongly scattering media,’ Phys. Lett. A 136, 81 (1989)
[CrossRef]

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

1988

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, ‘Light scattering in strongly scattering media: Multiple scattering and weak localization,’ Phys. Rev. B 37, 3575 (1988)
[CrossRef]

R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
[CrossRef]

1985

M. P. van Albada and A. Lagendijk, ‘Observation of Weak Localization of Light in a Random Medium,’ Phys. Rev. Lett. 55, 2692 (1985)
[CrossRef] [PubMed]

P.-E. Wolf and G. Maret, ‘Weak Localization and Coherent Backscattering of Photons in Disordered Media,’ Phys. Rev. Lett. 55, 2696 (1985)
[CrossRef] [PubMed]

Aegerter, C. M.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

Alfano, R. R.

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

Arya, K.

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

Backman, V.

Birman, J. L.

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

Bret, B. P. J.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

Chabanov, A. A.

A. A. Chabanov and A. Z. Genack, ‘Photon localization in resonant media,’ Phys. Rev. Lett. 87, 153901 (2001)
[CrossRef] [PubMed]

Clausen, M.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

de Vries, P.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
[CrossRef]

A. Lagendijk, R. Vreeker, and P. de Vries, ‘Influence of internal reflection on diffusive transport in strongly scattering media,’ Phys. Lett. A 136, 81 (1989)
[CrossRef]

Durian, D. J.

M. U. Vera and D. J. Durian, ‘Angular distribution of diffusely transmitted light,’ Phys. Rev. B 53, 3215 (1996)
[CrossRef]

Eiden, S.

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

Fiebig, S.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

Genack, A. Z.

A. A. Chabanov and A. Z. Genack, ‘Photon localization in resonant media,’ Phys. Rev. Lett. 87, 153901 (2001)
[CrossRef] [PubMed]

Gómez Rivas, J.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

Gross, P.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

Imhof, A.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

Johnson, P. M.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

Kim, Y. L.

Koenderink, A.F.

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

Kop, R. H. J.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
[CrossRef]

Lagendijk, A.

P. Lodahl and A. Lagendijk, ‘Transport of quantum noise through random media,’ Phys. Rev. Lett. 94, 153905 (2005)
[CrossRef] [PubMed]

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, ‘Determination of the diffusion constant using phase-sensitive measurements,’ Phys. Rev. E 71, 056604 (2005)
[CrossRef]

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
[CrossRef] [PubMed]

F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
[CrossRef]

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
[CrossRef]

D.S. Wiersma, M.P. van Albada, and A. Lagendijk, ‘An accurate technique to record the angular distribution of backscattered light,’ Rev. Sci. Instr. 66, 5473 (1995)
[CrossRef]

B. A. van Tiggelen, D. A. Wiersma, and A. Lagendijk, ‘Self-consistent theory for the enhancement factor in coherent backscattering,’ Eur. Phys. Lett. 30, 1 (1995)
[CrossRef]

A. Lagendijk, R. Vreeker, and P. de Vries, ‘Influence of internal reflection on diffusive transport in strongly scattering media,’ Phys. Lett. A 136, 81 (1989)
[CrossRef]

R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
[CrossRef]

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, ‘Light scattering in strongly scattering media: Multiple scattering and weak localization,’ Phys. Rev. B 37, 3575 (1988)
[CrossRef]

M. P. van Albada and A. Lagendijk, ‘Observation of Weak Localization of Light in a Random Medium,’ Phys. Rev. Lett. 55, 2692 (1985)
[CrossRef] [PubMed]

Liu, Y.

Lodahl, P.

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, ‘Determination of the diffusion constant using phase-sensitive measurements,’ Phys. Rev. E 71, 056604 (2005)
[CrossRef]

P. Lodahl and A. Lagendijk, ‘Transport of quantum noise through random media,’ Phys. Rev. Lett. 94, 153905 (2005)
[CrossRef] [PubMed]

Maret, G.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

P.-E. Wolf and G. Maret, ‘Weak Localization and Coherent Backscattering of Photons in Disordered Media,’ Phys. Rev. Lett. 55, 2696 (1985)
[CrossRef] [PubMed]

Megens, M.

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
[CrossRef]

Pine, D. J.

J. X. Zhu, D. J. Pine, and D. A. Weitz, ‘Internal reflection of diffusive light in random media,’ Phys. Rev. A 44, 3948 (1991)
[CrossRef] [PubMed]

Reufer, M.

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

Rojas-Ochoa, L. F.

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

Roy, H. K.

Sáenz, J. J.

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

Scheffold, F.

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

Schuurmans, F.J.P.

F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
[CrossRef]

F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
[CrossRef] [PubMed]

Sprik, R.

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
[CrossRef]

R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
[CrossRef]

Störzer, M.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

Tang, G. C.

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

Turzhitsky, V. M.

van Albada, M. P.

R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
[CrossRef]

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, ‘Light scattering in strongly scattering media: Multiple scattering and weak localization,’ Phys. Rev. B 37, 3575 (1988)
[CrossRef]

M. P. van Albada and A. Lagendijk, ‘Observation of Weak Localization of Light in a Random Medium,’ Phys. Rev. Lett. 55, 2692 (1985)
[CrossRef] [PubMed]

van Albada, M.P.

D.S. Wiersma, M.P. van Albada, and A. Lagendijk, ‘An accurate technique to record the angular distribution of backscattered light,’ Rev. Sci. Instr. 66, 5473 (1995)
[CrossRef]

van de Lagemaat, J.

F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
[CrossRef] [PubMed]

van der Mark, M. B.

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, ‘Light scattering in strongly scattering media: Multiple scattering and weak localization,’ Phys. Rev. B 37, 3575 (1988)
[CrossRef]

van Soest, G.

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

van Tiggelen, B. A.

B. A. van Tiggelen, D. A. Wiersma, and A. Lagendijk, ‘Self-consistent theory for the enhancement factor in coherent backscattering,’ Eur. Phys. Lett. 30, 1 (1995)
[CrossRef]

Vanmaekelbergh, D.

F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
[CrossRef]

F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
[CrossRef] [PubMed]

Vellekoop, I. M.

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, ‘Determination of the diffusion constant using phase-sensitive measurements,’ Phys. Rev. E 71, 056604 (2005)
[CrossRef]

Vera, M. U.

M. U. Vera and D. J. Durian, ‘Angular distribution of diffusely transmitted light,’ Phys. Rev. B 53, 3215 (1996)
[CrossRef]

Vos, W.L.

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

Vreeker, R.

A. Lagendijk, R. Vreeker, and P. de Vries, ‘Influence of internal reflection on diffusive transport in strongly scattering media,’ Phys. Lett. A 136, 81 (1989)
[CrossRef]

R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
[CrossRef]

Wali, R. K.

Weitz, D. A.

J. X. Zhu, D. J. Pine, and D. A. Weitz, ‘Internal reflection of diffusive light in random media,’ Phys. Rev. A 44, 3948 (1991)
[CrossRef] [PubMed]

Wiersma, D. A.

B. A. van Tiggelen, D. A. Wiersma, and A. Lagendijk, ‘Self-consistent theory for the enhancement factor in coherent backscattering,’ Eur. Phys. Lett. 30, 1 (1995)
[CrossRef]

Wiersma, D.S.

D.S. Wiersma, M.P. van Albada, and A. Lagendijk, ‘An accurate technique to record the angular distribution of backscattered light,’ Rev. Sci. Instr. 66, 5473 (1995)
[CrossRef]

Wolf, P.-E.

P.-E. Wolf and G. Maret, ‘Weak Localization and Coherent Backscattering of Photons in Disordered Media,’ Phys. Rev. Lett. 55, 2696 (1985)
[CrossRef] [PubMed]

Yoo, K. M.

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

Zhu, J. X.

J. X. Zhu, D. J. Pine, and D. A. Weitz, ‘Internal reflection of diffusive light in random media,’ Phys. Rev. A 44, 3948 (1991)
[CrossRef] [PubMed]

Appl. Opt.

Appl. Phys. Lett.

M. Reufer, L. F. Rojas-Ochoa, S. Eiden, J. J. Sáenz, and F. Scheffold, ‘Transport of light in amorphous photonic materials,’ Appl. Phys. Lett. 91, 171904 (2007)
[CrossRef]

Eur. Phys. Lett.

B. A. van Tiggelen, D. A. Wiersma, and A. Lagendijk, ‘Self-consistent theory for the enhancement factor in coherent backscattering,’ Eur. Phys. Lett. 30, 1 (1995)
[CrossRef]

Opt. Lett.

Phys. Lett. A

R. Vreeker, M. P. van Albada, R. Sprik, and A. Lagendijk, ‘Femtosecond time-resolved measurements of weak localization of light,’, Phys. Lett. A,  132, 51 (1988)
[CrossRef]

A. Lagendijk, R. Vreeker, and P. de Vries, ‘Influence of internal reflection on diffusive transport in strongly scattering media,’ Phys. Lett. A 136, 81 (1989)
[CrossRef]

Phys. Lett. A.

A.F. Koenderink, M. Megens, G. van Soest,W.L. Vos, and A. Lagendijk, ‘Enhanced backscattering from photonic crystals,’ Phys. Lett. A. 268, 104 (2000)
[CrossRef]

Phys. Rev. A

J. X. Zhu, D. J. Pine, and D. A. Weitz, ‘Internal reflection of diffusive light in random media,’ Phys. Rev. A 44, 3948 (1991)
[CrossRef] [PubMed]

K. M. Yoo, K. Arya, G. C. Tang, J. L. Birman, and R. R. Alfano, ‘Coherent backscattering of a picosecond pulse from a disordered medium: Analysis of the pulse shape in the time domain,’ Phys. Rev. A 39, 3728 (1989)
[CrossRef] [PubMed]

Phys. Rev. B

M. U. Vera and D. J. Durian, ‘Angular distribution of diffusely transmitted light,’ Phys. Rev. B 53, 3215 (1996)
[CrossRef]

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, ‘Light scattering in strongly scattering media: Multiple scattering and weak localization,’ Phys. Rev. B 37, 3575 (1988)
[CrossRef]

Phys. Rev. E

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, ‘Determination of the diffusion constant using phase-sensitive measurements,’ Phys. Rev. E 71, 056604 (2005)
[CrossRef]

P. M. Johnson, A. Imhof, B. P. J. Bret, J. Gómez Rivas, and A. Lagendijk, ‘Time-resolved pulse propagation in a strongly scattering material,’ Phys. Rev. E 68, 016604:1-9 (2003)
[CrossRef]

Phys. Rev. Lett.

P. Lodahl and A. Lagendijk, ‘Transport of quantum noise through random media,’ Phys. Rev. Lett. 94, 153905 (2005)
[CrossRef] [PubMed]

R. H. J. Kop, P. de Vries, R. Sprik, and A. Lagendijk, ‘Observation of anomolous transport of strongly multiple scattered light in thin disordered samples,’ Phys. Rev. Lett. 79, 4369 (1997)
[CrossRef]

F.J.P. Schuurmans, M. Megens, D. Vanmaekelbergh, and A. Lagendijk, ‘Light scattering near the localization transition in macroporous GaP networks,’ Phys. Rev. Lett. 83, 2183 (1999)
[CrossRef]

M. P. van Albada and A. Lagendijk, ‘Observation of Weak Localization of Light in a Random Medium,’ Phys. Rev. Lett. 55, 2692 (1985)
[CrossRef] [PubMed]

P.-E. Wolf and G. Maret, ‘Weak Localization and Coherent Backscattering of Photons in Disordered Media,’ Phys. Rev. Lett. 55, 2696 (1985)
[CrossRef] [PubMed]

A. A. Chabanov and A. Z. Genack, ‘Photon localization in resonant media,’ Phys. Rev. Lett. 87, 153901 (2001)
[CrossRef] [PubMed]

Rev. Sc. Instr.

P. Gross, M. Störzer, S. Fiebig, M. Clausen, G. Maret, and C. M. Aegerter, ‘A Precise method to determine the angular distribution of backscattered light to high angles,’ Rev. Sc. Instr. 78, 033105 (2007)
[CrossRef]

Rev. Sci. Instr.

D.S. Wiersma, M.P. van Albada, and A. Lagendijk, ‘An accurate technique to record the angular distribution of backscattered light,’ Rev. Sci. Instr. 66, 5473 (1995)
[CrossRef]

Science

F.J.P. Schuurmans, D. Vanmaekelbergh, J. van de Lagemaat, and A. Lagendijk, ‘Strongly Photonic Macroporous GaP Networks,’ Science 284, 141 (1999)
[CrossRef] [PubMed]

Other

S. Fiebig, C.M. Aegerter, W. Bührer, M. Störzer, E. Akkermans, G. Montambaux, and G. Maret, ‘Conservation of energy in coherent backscattering of light,’ cond-mat/0706.0381 (2007).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

Schematic overview of experimental setup for broadband enhanced backscattering spectroscopy using a supercontinuum source and a fiber spectrometer. The two configurations (i) and (ii) can be obtained by replacing the 3-mm right-angle prism reflector by a beamsplitter. For experiments using circular polarized light, the two separate λ/4 waveplates in (i) are replaced by a single λ/4 wave-plate directly in front of the sample in (ii). In configuration (ii) the light transmitted by the beamsplitter is collected by a beam dump.

Fig. 2.
Fig. 2.

(color online) (a) Diffuse angular transmission function P(μ)/μ against μ=cos(θ) in backscattering, at λ=700 nm, for (black line) TiO2 and (blue line) teflon, both helicity conserving channel, (green line) TiO2 helicity nonconserving channel, and (dashed red line) TiO2 linear-polarization nonconserving channel (averaged over s and p output polarizations). (b) EBS of TiO2 sample at λ=700 nm, normalized to linear-polarization nonconserving channel of TiO2, measured using configuration (i) (open diamonds, green) and configuration (ii) (squares, red), and fit using Eq. (2) (black line). Inset: detail of (b) around cone center. (c) Color density plot showing enhanced backscattering intensity from the TiO2 powder sample over a wavelength range of 520–1000 nm. (d) Same for fitted EBS cones using Eq. (2).

Fig. 3.
Fig. 3.

Fitted values of (a) the transport mean free path ℓ and (b) the enhancement factor E as a function of wavelength, for the TiO2 powder sample (circles, black). Previously reported measurements on the same sample are indicated from (blue square) Refs. [12, 13] and (open blue square) Ref. [14], both at λ=780 nm.

Fig. 4.
Fig. 4.

(a) Diffuse angular transmission function P(μ)/μ against μ=cos(θ) in backscattering, at λ=700 nm, for (black line) PA-GaP and (blue line) teflon, both helicity conserving channel, (green line) PA-GaP helicity nonconserving channel, and (dashed red line) PA-GaP linear polarization nonconserving channel, averaged over s and p output polarizations. (b) EBS of PA-GaP sample at λ=700 nm, normalized to linear-polarization nonconserving channel of PA-GaP, for large-angle configuration (i) (open squares, green) and small-angle configuration (ii) (diamonds, red), and EBS normalized to the teflon diffuse angular reflectance function (blue line). Black line is a fit using Eq. (2). Inset: detail of (b) around cone center. (c) Color density plot showing enhanced backscattering intensity from the TiO2 powder sample over a wavelength range of 520–1000 nm. (d) Fitted enhanced backscattering cones using Eq. (2).

Fig. 5.
Fig. 5.

Fitted values of (a) the transport mean free path l and (b) the enhancement factor E as a function of wavelength, for a 25.5-µm thick PA-GaP slab, normalized to the diffuse angular reflectance in the linear-polarization nonconserving channel (squares, black). Symbols denote previously reported measurements from Refs. [18, 19] (open blue diamond) and [20] (open blue triangles).

Equations (4)

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

F ( z 1 , z 2 , q ) = G d ( z 1 z 2 , q ) + z e q 1 z e q + 1 G d ( z 1 + z 2 , q ) ,
I ( θ ) = [ γ + ( E 1 ) γ c ] γ ,
γ = 3 μ ( τ e + μ μ i μ + μ i )
γ c = 3 2 μ i ν 1 ( α + ν ) 2 + u 2 ( 1 + 2 ν τ e 1 + τ e α ) ,

Metrics