An expression for the first-order probability density function of the laser speckle phase is analytically derived under the assumption that the speckle field obeys a non-circular, complex Gaussian, random process with a certain correlation between the real and imaginary parts of its complex amplitude. The probability density function of the speckle phase is actually evaluated for various cases and shown three-dimensionally as a function of the standard deviation of random object phase variations. The effect of random object phase variations on the probability density function is also investigated in detail.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
J. W. Goodman,Stanford Electronic Laboratories Report TR 2303–1 (SEL-63-140) (1963).
Idem, ‘Laser Speckle and Related Phenomena’ (edited by J. C. Dainty) (Springer-Verlag, Berlin, 1975) Ch. 2.
W. T. Welford,Opt. Quant. Elect. 7 (1975) 413.
J. Ohtsubo andT. Asakura,Optik 45 (1976) 65.
Idem, Appl. Oct. 16 (1977) 1742.
E. Jakeman andW. T. Welford,Opt. Commun. 21 (1977) 72.
K. Ouchi,ibid 24 (1978) 273.
G. Da Costa andG. Guerri,J. Opt. Soc. Amer. 68 (1978) 866.
S. Donati andG. Martini,ibid 69 (1979) 1690.
P. Beckmann andA. Spizzichino, ‘The Scattering of Electromagnetic Waves from Rough Surfaces’ (Pergamon/Macmillan, London, 1963), Ch. 7.
H. Fujii, T. Asakura andY. Shindo,Opt. Commun. 16 (1976) 68.
H. M. Pedersen,ibid 16 (1976) 63.
J. Uozumi andT. Asakura,J. Opt. 11 (1980).
H. Fujii,J. Opt. Soc. Amer. 69 (1979) 1573.
About this article
Cite this article
Uozumi, J., Asakura, T. First-order probability density function of the laser speckle phase. Opt Quant Electron 12, 477–494 (1980). https://doi.org/10.1007/BF00619921
- Standard Deviation
- Density Function
- Probability Density
- Imaginary Part
- Communication Network