OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1149–1159

Signal processing analog of phase screen scattering

E. Jakeman and K. D. Ridley  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1149-1159 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001149


View Full Text Article

Acrobat PDF (338 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The statistical properties of a filtered random phasor are calculated. This problem arises in remote-sensing techniques such as coherent spectroscopy and non-Gaussian scattering and is relevant more generally to the field of nonlinear signal processing. Results are obtained analytically and by numerical simulation for a variety of phase fluctuation models. The problem is found to be analogous to scattering of light from a random-phase-changing screen. This provides a simple interpretation of the results and suggests new ways for characterizing both phase variable and filter.

© 1998 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(190.0190) Nonlinear optics : Nonlinear optics
(190.5040) Nonlinear optics : Phase conjugation

Citation
E. Jakeman and K. D. Ridley, "Signal processing analog of phase screen scattering," J. Opt. Soc. Am. A 15, 1149-1159 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1149


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. M. Harris, G. N. Pearson, and J. M. Vaughan, “Electrical method of spectral filtering within the Schawlow–Townes laser linewidth,” Electron. Lett. 30, 1678–1679 (1994).
  2. T. R. Watts, K. I. Hopcraft, and T. R. Falkner, “Single measurements on probability density functions and their use in non-Gaussian light scattering,” J. Phys. A 29, 7501–7517 (1996).
  3. H. Taub and D. L. Schilling, Principles of Communication Systems (McGraw-Hill, New York, 1986).
  4. E. Jakeman and J. G. McWhirter, “Correlation dependence of the scintillation behind a deep random phase screen,” J. Phys. A 10, 1599–1643 (1977).
  5. H. G. Booker, “Application of refractive scintillation theory to radiotransmission through the ionosphere and the solar wind and to reflection from a rough ocean,” J. Atmos. Terr. Phys. 43, 1215–1233 (1981).
  6. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
  7. J. C. Dainty, ed., Laser Speckle and Related Phenomena (Plenum, New York, 1975).
  8. R. P. Mercier, “Diffraction by a screen causing large random phase fluctuations,” Proc. Cambridge Philos. Soc. A 58, 382–400 (1962).
  9. E. Jakeman and P. N. Pusey, “The statistics of light scattered by a random phase screen,” J. Phys. A 6, L88–L92 (1973).
  10. E. Renshaw, “The higher order covariance structure of the telegraph wave,” J. Appl. Prob. 25, 744–751 (1988).
  11. M. V. Berry, “Diffractals,” J. Phys. A 12, 781–797 (1979).
  12. R. Centeno Neelen, D. M. Boersma, M. P. Van Exter, G. Nienhuis, and J. P. Woerdman, “Spectral filtering within the Schawlow–Townes linewidth of a semiconductor laser,” Phys. Rev. Lett. 69, 593–596 (1992).
  13. R. Buckley, “A Fokker–Planck equation for the probability distribution of the field scattered by a random phase screen,” in Wave Propagation and Scattering, B. J. Uscinsky, ed. (Clarendon, Oxford, 1986), pp. 113–127.
  14. E. Jakeman and J. G. McWhirter, “Non-Gaussian scattering by a random phase screen,” Appl. Phys. B: 26, 125–131 (1981).
  15. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
  16. D. L. Jordan, R. C. Hollins, and E. Jakeman, “Experimental measurements of non-Gaussian scattering by a fractal diffuser,” Appl. Phys. B: Photophys. Laser Chem. 31, 179–186 (1983).
  17. E. Jakeman and B. J. Hoenders, “Scattering by a surface of rectangular grooves,” Opt. Acta 29, 1587–1598 (1982).
  18. E. Jakeman and P. N. Pusey, “Non-Gaussian fluctuations in electromagnetic radiation scattered by a random phase screen. I. Theory,” J. Phys. A 8, 369–391 (1975).
  19. E. Jakeman and E. Renshaw, “Correlated random walk model for scattering,” J. Opt. Soc. Am. A 4, 1206–1212 (1987).
  20. E. Jakeman, “Optical scattering experiments,” in Wave Propagation and Scattering, B. J. Uscinsky, ed. (Clarendon, Oxford, 1986), pp. 241–259.
  21. A. D. Bruce, “Probability density functions for collective coordinates in Ising-like systems,” J. Phys. C 14, 3667–3688 (1981).
  22. J. G. Walker and E. Jakeman, “Observation of sub-fractal behavior in a light scattering system,” Opt. Acta 31, 1185–1196 (1984).
  23. B. J. Hoenders, E. Jakeman, H. P. Baltes, and B. Steinle, “K correlations and facet models in diffuse scattering,” Opt. Acta 26, 1307–1319 (1979).
  24. A. S. Glass and H. P. Baltes, “The significance of far-zone coherence for sources or scatterers with hidden periodicity,” Opt. Acta 29, 169–185 (1982).
  25. H. Z. Cummins and E. R. Pike, eds., Photon Correlation Spectroscopy and Velocimetry (Plenum, New York, 1977).
  26. H. G. Booker, J. A. Ratcliffe, and D. H. Shinn, “Diffraction from an irregular screen with applications to ionospheric problems,” Philos. Trans. R. Soc. London, Ser. A 242, 579–609 (1950).

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