OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2691–2699

Frequency-resolved interferometer measurements of polarized wave propagation in scattering media

Timothy D. Gerke, Mark A. Webster, Andrew M. Weiner, and Kevin J. Webb  »View Author Affiliations

JOSA A, Vol. 22, Issue 12, pp. 2691-2699 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (204 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An interferometric technique is utilized to measure both the time- and frequency-domain optical fields scattered by a random medium. The method uses a tunable continuous-wave laser source to make frequency-resolved measurements within a fixed-path-length interferometer. Measured frequency-domain field statistics, with a linearly polarized input, are shown to be zero-mean, circular complex Gaussian for both co- and cross-polarization states. With decreasing scatter, the extracted average impulse responses for co- and cross-polarized states show distinct differences, thereby providing insight into the scattering domain.

© 2005 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(290.4210) Scattering : Multiple scattering
(290.7050) Scattering : Turbid media

ToC Category:

Original Manuscript: January 26, 2005
Manuscript Accepted: April 7, 2005
Published: December 1, 2005

Virtual Issues
Vol. 1, Iss. 1 Virtual Journal for Biomedical Optics

Timothy D. Gerke, Mark A. Webster, Andrew M. Weiner, and Kevin J. Webb, "Frequency-resolved interferometer measurements of polarized wave propagation in scattering media," J. Opt. Soc. Am. A 22, 2691-2699 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978).
  2. H. T. Shang, “Chromatic dispersion measurement by white-light interferometry on meter-length single-mode optical fibers,” Electron. Lett. 17, 603–605 (1981). [CrossRef]
  3. D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, “Optical coherence tomography,” Science 254, 1178–1181 (1991). [CrossRef] [PubMed]
  4. W. Drexler, U. Morgner, F. X. Kartner, C. Pitris, S. A. Boppart, X. D. Li, E. P. Ippen, J. G. Fujimoto, “ In vivo ultrahigh-resolution optical coherence tomography,” Opt. Lett. 24, 1221–1223 (1999). [CrossRef]
  5. S. R. Arridge, “Optical tomography in medical imaging,” Inverse Probl. 15, R41–R43 (1999). [CrossRef]
  6. A. B. Milstein, S. Oh, J. S. Reynolds, K. J. Webb, C. A. Bouman, R. P. Millane, “Three-dimensional Bayesian optical diffusion tomography with experimental data,” Opt. Lett. 27, 95–97 (2002). [CrossRef]
  7. A. Labeyrie, “Attainment of diffraction limited resolution in large telescopes by Fourier analysing speckle patterns in star images,” Astron. Astrophys. 6, 85–87 (1970).
  8. K. Creath, “Phase-shifting speckle interferometry,” Appl. Opt. 24, 3053–3058 (1985). [CrossRef] [PubMed]
  9. J. A. Leendertz, “Interferometric displacement measurement on scattering surfaces utilizing speckle effect,” J. Phys. E 3, 214–218 (1970). [CrossRef]
  10. C. A. Thompson, K. J. Webb, A. M. Weiner, “Imaging in scattering media by use of laser speckle,” J. Opt. Soc. Am. A 14, 2269–2277 (1997). [CrossRef]
  11. C. A. Thompson, K. J. Webb, A. M. Weiner, “Diffusive media characterization with laser speckle,” Appl. Opt. 36, 3726–3734 (1997). [CrossRef] [PubMed]
  12. J. D. McKinney, M. A. Webster, K. J. Webb, A. M. Weiner, “Characterization and imaging in optically scattering media by use of laser speckle and a variable-coherence source,” Opt. Lett. 25, 4–6 (2000). [CrossRef]
  13. M. A. Webster, K. J. Webb, A. M. Weiner, “Temporal response of a random medium from third order laser speckle frequency correlations,” Phys. Rev. Lett. 88, 033901 (2002). [CrossRef]
  14. M. A. Webster, K. J. Webb, A. M. Weiner, J. Xu, H. Cao, “Temporal response of a random medium from speckle intensity frequency correlations,” J. Opt. Soc. Am. A 20, 2057–2070 (2003). [CrossRef]
  15. J.-M. Tualle, E. Tinet, S. Avrillier, “A new and easy way to perform time-resolved measurements of the light scattered by a turbid medium,” Opt. Commun. 189, 211–220 (2001). [CrossRef]
  16. A. A. Chabanov, A. Z. Genack, “Field distributions in the crossover from ballistic to diffusive wave propagation,” Phys. Rev. E 56, R1338–R1341 (1997). [CrossRef]
  17. P. Sebbah, O. Lengrand, B. A. van Tiggelen, A. Z. Genack, “Statistics of the cumulative phase of microwave radiation in random media,” Phys. Rev. E 56, 3619–3623 (1997). [CrossRef]
  18. P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000). [CrossRef]
  19. J. Pearce, Z. Jian, D. M. Mittleman, “Statistics of multiply scattered broadband terahertz pulses,” Phys. Rev. Lett. 91, 043903 (2003). [CrossRef] [PubMed]
  20. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, 2nd ed., J. C. Dainty, ed. (Springer-Verlag, 1984).
  21. M. A. Webster, T. D. Gerke, K. J. Webb, A. M. Weiner, “Spectral and temporal speckle field measurements of a random medium,” Opt. Lett. 29, 1491–1493 (2004). [CrossRef] [PubMed]
  22. S. Ito, T. Oguchi, “Approximate solutions of the vector radiative transfer equation for linearly polarized light in discrete random media,” J. Opt. Soc. Am. A 6, 1852–1858 (1989). [CrossRef]
  23. A. Ishimaru, S. Jaruwatanadilok, Y. Kuga, “Polarized pulse waves in random discrete scatterers,” Appl. Opt. 40, 5495–5502 (2001). [CrossRef]
  24. X. Wang, L. V. Wang, C.-W. Sun, C.-C. Yang, “Polarized light propagation through scattering media: time-resolved Monte Carlo simulations and experiments,” J. Biomed. Opt. 8, 608–617 (2003). [CrossRef] [PubMed]
  25. L. Lepetit, G. Cheriaux, M. Joffre, “Linear techniques of phase measurement by femtosecond spectral interferometry for applications in spectroscopy,” J. Opt. Soc. Am. B 12, 2467–2474 (1995). [CrossRef]
  26. J. J. Duderstadt, L. J. Hamilton, Nuclear Reactor Analysis (Wiley, 1976).
  27. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
  28. C.-T. Chen, Digital Signal Processing: Spectral Computation and Filter Design (Oxford U. Press, 2001).
  29. E. P. Ippen, C. V. Shank, “Techniques for measurement,” in Ultrashort Light Pulses: Picosecond Techniques and Applications, S. H. Shapiro, ed., (Springer-Verlag, 1984), Vol. 18, pp. 83–122. [CrossRef]
  30. M. S. Patterson, B. Chance, B. C. Wilson, “Time resolved reflectance and transmittance for the non-invasive measurement of tissue optical properties,” Appl. Opt. 28, 2331–2336 (1989). [CrossRef] [PubMed]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited