Generalized K distribution: A statistical model for weak scattering

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 4, Issue 9, 1987, Pages 1764-1772

  Jakeman, E ^a   Tough, R J A ^a  

^a DEFENCE SCIENCE AND TECHNOLOGY LABORATORY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84975576374     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.4.001764     Document Type: Article

References (23)

1. E. Jakeman and P. N. Pusey, "A model for non-Rayleigh sea echo," IEEE Trans. Antennas Propag. AP-24, 806-814 (1976).
2. E. Jakeman and R. J. A. Tough, "Non-Gaussian noise processes," Adv. Phys. (to be published).
3. E. Jakeman and P. N. Pusey, "Significance of K distributions in scattering experiments," Phys. Rev. Lett. 40, 546-550 (1978).
4. R. Barakat, "Weak-scatterer generalization of the K-density function with application to laser scattering in atmospheric turbulence," J. Opt. Soc. Am. A 3, 401-409 (1986).
5. E. Jakeman, "On the statistics of K-distributed noise," J. Phys. A 13, 31-48 (1980).
6. K. Schatzel, "X-distributed phase differences in turbulent random phase screens," J. Opt. Soc. Am. 73, 269-276 (1983).
7. E. T. Copson, An Introduction to the Theory of Functions of a Complex Variable (Clarendon, Oxford, 1955).
8. S. O. Rice, "Mathematical analysis of random noise," Bell Syst. Tech. J. 23, 24, reprinted in Selected Papers on Noise and Stochastic Processes, N. Wax, ed. (Dover, New York, 1954).
9. M. Nakagami, "The m-distribution-a general formula of intensity distribution of rapid fading," in Statistical Methods in Radio Wave Propagation, W. C. Hoffman, ed. (Pergamon, New York, 1960).
10. K. D. Ward, "Compound representation of high resolution sea clutter," Electron. Lett. 17, 561-565 (1981).
11. C. J. Oliver, "A model for non-Rayleigh scattering statistics," in Wave Propagation and Scattering, B. J. Uscinski, ed. (Clarendon, Oxford, 1986).
12. R. J. A. Tough, "A Fokker-Planck description of K-distributed noise," J. Phys. A (to be published).
13. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1970).
14. L. C. Andrews and R. L. Phillips, "I-K distribution as a universal propagation model of laser beams in atmospheric turbulence," J. Opt. Soc. Am. A 2, 160-163 (1985).
15. P. N. Pusey, "Statistical properties of scattered radiation," in Photon Correlation Spectroscopy and Velocimetry, H. Z. Cummins and E. R. Pike, eds. (Plenum, New York, 1977), pp. 45-141.
16. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, Oxford, 1963).
17. R. P. Mercier, "Diffraction by a screen causing large random phase fluctuations," Proc. Cambridge Philos. Soc. A 58, 382-400 (1962).
18. E. Jakeman and W. T. Welford, "Speckle statistics in imaging systems," Opt. Commun. 21, 72-79 (1977).
19. J. W. Goodman, "Dependence of image speckle contrast on surface roughness," Opt. Commun. 14, 324-327 (1975).
20. H. M. Pederson, "Object roughness dependence of partially developed speckle patterns in coherent light," Opt. Commun. 16, 63-67 (1976).
21. C. J. Oliver, "A model for non-Rayleigh scattering statistics," Opt. Acta 31, 701-722 (1984).
22. E. Jakeman, "Fresnel scattering by a corrugated random surface with fractal slope," J. Opt. Soc. Am. 72, 1034-1041 (1982).
23. B. B. Mandelbrot, Fractals (Freeman, San Francisco, 1977).