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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

Original Manuscript: July 29, 1997
Revised Manuscript: October 7, 1997
Manuscript Accepted: October 27, 1997
Published: May 1, 1998

E. Jakeman and K. D. Ridley, "Signal processing analog of phase screen scattering," J. Opt. Soc. Am. A 15, 1149-1159 (1998)

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  1. M. Harris, G. N. Pearson, J. M. Vaughan, “Electrical method of spectral filtering within the Schawlow–Townes laser linewidth,” Electron. Lett. 30, 1678–1679 (1994). [CrossRef]
  2. T. R. Watts, K. I. Hopcraft, T. R. Falkner, “Single measurements on probability density functions and their use in non-Gaussian light scattering,” J. Phys. A 29, 7501–7517 (1996). [CrossRef]
  3. H. Taub, D. L. Schilling, Principles of Communication Systems (McGraw-Hill, New York, 1986).
  4. E. Jakeman, J. G. McWhirter, “Correlation dependence of the scintillation behind a deep random phase screen,” J. Phys. A 10, 1599–1643 (1977). [CrossRef]
  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). [CrossRef]
  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. A58, 382–400 (1962).
  9. E. Jakeman, P. N. Pusey, “The statistics of light scattered by a random phase screen,” J. Phys. A 6, L88–L92 (1973). [CrossRef]
  10. E. Renshaw, “The higher order covariance structure of the telegraph wave,” J. Appl. Prob. 25, 744–751 (1988). [CrossRef]
  11. M. V. Berry, “Diffractals,” J. Phys. A 12, 781–797 (1979). [CrossRef]
  12. R. Centeno Neelen, D. M. Boersma, M. P. Van Exter, G. Nienhuis, J. P. Woerdman, “Spectral filtering within the Schawlow–Townes linewidth of a semiconductor laser,” Phys. Rev. Lett. 69, 593–596 (1992). [CrossRef] [PubMed]
  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, J. G. McWhirter, “Non-Gaussian scattering by a random phase screen,” Appl. Phys. B: 26, 125–131 (1981). [CrossRef]
  15. M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
  16. D. L. Jordan, R. C. Hollins, E. Jakeman, “Experimental measurements of non-Gaussian scattering by a fractal diffuser,” Appl. Phys. B: Photophys. Laser Chem. 31, 179–186 (1983). [CrossRef]
  17. E. Jakeman, B. J. Hoenders, “Scattering by a surface of rectangular grooves,” Opt. Acta 29, 1587–1598 (1982). [CrossRef]
  18. E. Jakeman, P. N. Pusey, “Non-Gaussian fluctuations in electromagnetic radiation scattered by a random phase screen. I. Theory,” J. Phys. A 8, 369–391 (1975). [CrossRef]
  19. E. Jakeman, E. Renshaw, “Correlated random walk model for scattering,” J. Opt. Soc. Am. A 4, 1206–1212 (1987). [CrossRef]
  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). [CrossRef]
  22. J. G. Walker, E. Jakeman, “Observation of sub-fractal behavior in a light scattering system,” Opt. Acta 31, 1185–1196 (1984). [CrossRef]
  23. B. J. Hoenders, E. Jakeman, H. P. Baltes, B. Steinle, “K correlations and facet models in diffuse scattering,” Opt. Acta 26, 1307–1319 (1979). [CrossRef]
  24. A. S. Glass, H. P. Baltes, “The significance of far-zone coherence for sources or scatterers with hidden periodicity,” Opt. Acta 29, 169–185 (1982). [CrossRef]
  25. H. Z. Cummins, E. R. Pike, eds., Photon Correlation Spectroscopy and Velocimetry (Plenum, New York, 1977).
  26. H. G. Booker, J. A. Ratcliffe, D. H. Shinn, “Diffraction from an irregular screen with applications to ionospheric problems,” Philos. Trans. R. Soc. London, Ser. A 242, 579–609 (1950). [CrossRef]

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