OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 6 — Mar. 21, 2005
  • pp: 2105–2110

Optical precursors and Beer’s law violations; non-exponential propagation losses in water.

Ursula J. Gibson and Ulf L. österberg  »View Author Affiliations

Optics Express, Vol. 13, Issue 6, pp. 2105-2110 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (145 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We develop a model for exponential decay of broadband pulses, and examine its implications for experiments on optical precursors. One of the signature features of Brillouin precursors is attenuation with a less rapid decay than that predicted by Beer’s Law. Depending on the pulse parameters and the model that is adopted for the dielectric properties of the medium, the limiting z-dependence of the loss has been described as z-1/2, z-1/3, exponential, or, in more detailed descriptions, some combination of the above. Experimental results in the search for precursors are examined in light of the different models, and a stringent test for sub-exponential decay is applied to data on propagation of 500 femtosecond pulses through 1–5 meters of water.

© 2005 Optical Society of America

OCIS Codes
(010.7340) Atmospheric and oceanic optics : Water
(320.7120) Ultrafast optics : Ultrafast phenomena

ToC Category:
Research Papers

Original Manuscript: November 29, 2004
Revised Manuscript: March 10, 2005
Published: March 21, 2005

Ursula Gibson and Ulf �?sterberg, "Optical precursors and Beer�??s law violations; non-exponential propagation losses in water," Opt. Express 13, 2105-2110 (2005)

Sort:  Journal  |  Reset  


  1. Seung-Ho Choi, and Ulf �?sterberg, "Observation of optical precursors in water,�?? Phys. Rev. Lett. 92, 193903-193905 (2004). [CrossRef] [PubMed]
  2. L. Brillouin. Wave Propagation and Group Velocity(Academic Press, New York, 1960).
  3. K.E. Oughstun, and G.C. Sherman, Electromagnetic Pulse Propagation in Causal Dielectrics (Springer-Verlag, Berlin, 1994).
  4. M.D.Crisp, �??Propagation of small-area pulses of coherent light through a resonant medium,�?? Phys. Rev. A 1, 1604-1611 (1970). [CrossRef]
  5. S. L. McCall and E. L. Hahn, �??Self induced transparency by pulsed coherent light,�?? Phys. Rev. Lett. 18, 908-911 (1967). [CrossRef]
  6. T.W. Barrett, �??Energy transfer & propagation and the dielectrics of materials: transient versus steady state effects,�?? in Ultra-Wide Band Radar Proceedings from the First Los Alamos Symposium, (CRC Press, Boca Raton, FL. 1991).
  7. T.M. Roberts, �??Radiated pulses decay exponentially materials in the far fields of antennas,�?? Elec. Lett. 38, 679-680 (2002). [CrossRef]
  8. T.M. Roberts, �??Pave Paws radiation decays exponentially in lossy materials�??, talk to the National research Council, Sep. 9, 2002.
  9. E. Varoquaux, G. A. Williams, and O. Avenel, �??Pulse propagation in a resonant medium: Application to sound waves in superfluid He3- B.�?? Phys. Rev. B 34, 7617-7640 (1986). [CrossRef]
  10. J.A. Stratton Electromagnetic Theory (McGraw Hill, New York, 1941).
  11. E. Gitterman, and M. Gitterman, �??Transient processes for incidence of a light signal on a vacuum-medium interface.�?? Phys. Rev. A 13, 763-776 (1976). [CrossRef]
  12. D. J. Segelstein, The complex refractive index of water (M.Sc. Thesis, Department of Physics. University of Missouri-Kansas City, 1981).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited