Abstract

We develop a closed-form expression for the probability distribution function for the field components of a diffusive broadband wave propagating through a random medium. We consider each spectral component to provide an individual observation of a random variable, the configurationally averaged spectral intensity. Since the intensity determines the variance of the field distribution at each frequency, this random variable serves as the Bayesian prior that determines the form of the non-Gaussian field statistics. This model agrees well with experimental results.

© 2005 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).
    [CrossRef]
  2. D. A. Boas, L. E. Campbell, and A. G. Yodh, Phys. Rev. Lett. 75, 1855 (1995).
    [CrossRef] [PubMed]
  3. D. A. Boas and A. G. Yodh, J. Opt. Soc. Am. A 14, 192 (1997).
    [CrossRef]
  4. D. L. Lasocki, C. L. Matson, and P. J. Collins, Opt. Lett. 23, 558 (1998).
    [CrossRef]
  5. J. D. McKinney, M. A. Webster, K. J. Webb, and A. M. Weiner, Opt. Lett. 25, 4 (2000).
    [CrossRef]
  6. J. C. Schotland and V. A. Markel, J. Opt. Soc. Am. A 18, 2767 (2001).
    [CrossRef]
  7. R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).
    [CrossRef]
  8. C. A. Thompson, K. J. Webb, and A. M. Weiner, Appl. Opt. 36, 3726 (1997).
    [CrossRef] [PubMed]
  9. M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
    [CrossRef]
  10. B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
    [CrossRef]
  11. J. Rivas, R. Sprik, and A. Lagendijk, Phys. Rev. E 63, 046613 (2001).
    [CrossRef]
  12. J. Pearce, Z. Jian, and D. Mittleman, Phys. Rev. Lett. 91, 043903 (2003).
    [CrossRef]
  13. S. Mujumdar, K. J. Chau, and A. Y. Elezzabi, Appl. Phys. Lett. 85, 6284 (2004).
    [CrossRef]
  14. J. Pearce, Z. Jian, and D. Mittleman, Opt. Lett. 29, 2926 (2004).
    [CrossRef]
  15. K. J. Chau, G. D. Dice, and A. Y. Elezzabi, Phys. Rev. Lett. 94, 173904 (2005).
    [CrossRef]
  16. J. Pearce and D. Mittleman, Opt. Lett. 26, 2002 (2001).
    [CrossRef]
  17. A. A. Chabanov and A. Z. Genack, Phys. Rev. E 56, R1338 (1997).
    [CrossRef]
  18. J. W. Goodman, Statistical Optics (Wiley, 2000).
  19. A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian Data Analysis (Chapman & Hall, 2003).
  20. N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1994).
  21. J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

2005 (1)

K. J. Chau, G. D. Dice, and A. Y. Elezzabi, Phys. Rev. Lett. 94, 173904 (2005).
[CrossRef]

2004 (2)

S. Mujumdar, K. J. Chau, and A. Y. Elezzabi, Appl. Phys. Lett. 85, 6284 (2004).
[CrossRef]

J. Pearce, Z. Jian, and D. Mittleman, Opt. Lett. 29, 2926 (2004).
[CrossRef]

2003 (1)

J. Pearce, Z. Jian, and D. Mittleman, Phys. Rev. Lett. 91, 043903 (2003).
[CrossRef]

2002 (1)

M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
[CrossRef]

2001 (3)

2000 (1)

1999 (1)

B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
[CrossRef]

1998 (1)

1997 (3)

1995 (2)

D. A. Boas, L. E. Campbell, and A. G. Yodh, Phys. Rev. Lett. 75, 1855 (1995).
[CrossRef] [PubMed]

M. A. O’Leary, D. A. Boas, B. Chance, and A. G. Yodh, Opt. Lett. 20, 426 (1995).
[CrossRef]

1994 (1)

R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).
[CrossRef]

Balakrishnan, N.

N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1994).

Berkovits, R.

R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).
[CrossRef]

Boas, D. A.

Campbell, L. E.

D. A. Boas, L. E. Campbell, and A. G. Yodh, Phys. Rev. Lett. 75, 1855 (1995).
[CrossRef] [PubMed]

Carlin, J.

A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian Data Analysis (Chapman & Hall, 2003).

Chabanov, A. A.

A. A. Chabanov and A. Z. Genack, Phys. Rev. E 56, R1338 (1997).
[CrossRef]

Chance, B.

Chau, K. J.

K. J. Chau, G. D. Dice, and A. Y. Elezzabi, Phys. Rev. Lett. 94, 173904 (2005).
[CrossRef]

S. Mujumdar, K. J. Chau, and A. Y. Elezzabi, Appl. Phys. Lett. 85, 6284 (2004).
[CrossRef]

Collins, P. J.

Deibel, J.

J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

Dice, G. D.

K. J. Chau, G. D. Dice, and A. Y. Elezzabi, Phys. Rev. Lett. 94, 173904 (2005).
[CrossRef]

Doyle, K.

J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

Elezzabi, A. Y.

K. J. Chau, G. D. Dice, and A. Y. Elezzabi, Phys. Rev. Lett. 94, 173904 (2005).
[CrossRef]

S. Mujumdar, K. J. Chau, and A. Y. Elezzabi, Appl. Phys. Lett. 85, 6284 (2004).
[CrossRef]

Feng, S.

R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).
[CrossRef]

Gelman, A.

A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian Data Analysis (Chapman & Hall, 2003).

Genack, A. Z.

B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
[CrossRef]

A. A. Chabanov and A. Z. Genack, Phys. Rev. E 56, R1338 (1997).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Statistical Optics (Wiley, 2000).

Jian, Z.

J. Pearce, Z. Jian, and D. Mittleman, Opt. Lett. 29, 2926 (2004).
[CrossRef]

J. Pearce, Z. Jian, and D. Mittleman, Phys. Rev. Lett. 91, 043903 (2003).
[CrossRef]

J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

Johnson, N. L.

N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1994).

Kotz, S.

N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1994).

Lagendijk, A.

J. Rivas, R. Sprik, and A. Lagendijk, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Lasocki, D. L.

Markel, V. A.

Matson, C. L.

McKinney, J. D.

Mittleman, D.

Mittleman, D. M.

J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

Mujumdar, S.

S. Mujumdar, K. J. Chau, and A. Y. Elezzabi, Appl. Phys. Lett. 85, 6284 (2004).
[CrossRef]

O’Leary, M. A.

Pearce, J.

J. Pearce, Z. Jian, and D. Mittleman, Opt. Lett. 29, 2926 (2004).
[CrossRef]

J. Pearce, Z. Jian, and D. Mittleman, Phys. Rev. Lett. 91, 043903 (2003).
[CrossRef]

J. Pearce and D. Mittleman, Opt. Lett. 26, 2002 (2001).
[CrossRef]

J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

Rivas, J.

J. Rivas, R. Sprik, and A. Lagendijk, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Rubin, D.

A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian Data Analysis (Chapman & Hall, 2003).

Schotland, J. C.

Sebbah, P.

B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
[CrossRef]

Sprik, R.

J. Rivas, R. Sprik, and A. Lagendijk, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

Stern, H.

A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian Data Analysis (Chapman & Hall, 2003).

Stoytchev, M.

B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
[CrossRef]

Thompson, C. A.

van Tiggelen, B. A.

B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
[CrossRef]

Webb, K. J.

Webster, M. A.

M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
[CrossRef]

J. D. McKinney, M. A. Webster, K. J. Webb, and A. M. Weiner, Opt. Lett. 25, 4 (2000).
[CrossRef]

Weiner, A. M.

Yodh, A. G.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

S. Mujumdar, K. J. Chau, and A. Y. Elezzabi, Appl. Phys. Lett. 85, 6284 (2004).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Lett. (5)

Phys. Rep. (1)

R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).
[CrossRef]

Phys. Rev. E (3)

B. A. van Tiggelen, P. Sebbah, M. Stoytchev, and A. Z. Genack, Phys. Rev. E 59, 7166 (1999).
[CrossRef]

J. Rivas, R. Sprik, and A. Lagendijk, Phys. Rev. E 63, 046613 (2001).
[CrossRef]

A. A. Chabanov and A. Z. Genack, Phys. Rev. E 56, R1338 (1997).
[CrossRef]

Phys. Rev. Lett. (4)

J. Pearce, Z. Jian, and D. Mittleman, Phys. Rev. Lett. 91, 043903 (2003).
[CrossRef]

D. A. Boas, L. E. Campbell, and A. G. Yodh, Phys. Rev. Lett. 75, 1855 (1995).
[CrossRef] [PubMed]

M. A. Webster, K. J. Webb, and A. M. Weiner, Phys. Rev. Lett. 88, 033901 (2002).
[CrossRef]

K. J. Chau, G. D. Dice, and A. Y. Elezzabi, Phys. Rev. Lett. 94, 173904 (2005).
[CrossRef]

Other (4)

J. W. Goodman, Statistical Optics (Wiley, 2000).

A. Gelman, J. Carlin, H. Stern, and D. Rubin, Bayesian Data Analysis (Chapman & Hall, 2003).

N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions (Wiley, New York, 1994).

J. Pearce, K. Doyle, Z. Jian, J. Deibel, and D. M. Mittleman, “Non-stationary time-domain statistics of multiply scattered broadband terahertz pulses,” submitted to Phys. Rev. E.

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.


Metrics