Abstract
In contrast to the weak statistical scatterers and their first-order correlation and average scattered intensity studied in Sect.2.5, this chapter aims at strong scatterers and the fluctuations and higher-order correlations of the scattered radiation as explored by photon-counting techniques. The pertinent inverse detection and scattering problems are discussed with emphasis on a new class of distributions — the K distributions — which were recently found to characterize the fluctuations in scattered intensity for a wide class of experimental situations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.Z. Cummins, E.R. Pike (eds.): Photon Correlation and Light Beating Spectro-scopy ( Plenum Press, New York 1974 )
E.R. Pike, E. Jakeman: Adv. Quantum Electro. 2, 1 (1974)
B. Saleh: Photoelectron Statistics, Springer Series in Optical Sciences, Vol. 6 ( Springer, Berlin, Heidelberg, New York 1978 )
E. Jakeman, E.R. Pike, P.N. Pusey: Nature 263, 215 (1976)
G. Parry, P.N. Pusey, E. Jakeman, J.G. McWhirter: Opt. Commun. 22, 195 (1977)
E. Jakeman, G. Parry, E.R. Pike, P.N. Pusey: Contemp. Phys. 19, 127 (1978)
C.J. Oliver: “Correlation Techniques”, in Ref.[3.1], pp.151–236
E. Jakeman, C.J. Oliver, E.R. Pike: Adv. Phys. 24, 349 (1975)
C.J. Oliver: Infrared Phys. 18, 303 (1978)
E. Jakeman, P.N. Pusey: Phys. Rev. Lett. 40, 546 (1978)
E. Jakeman: J. Phys.A 13, 31–48 (1980)
A. Zardecki: “Statistical Features of Phase Screens from Scattering Data”, in Inverse Source Problems in Optics, ed. by H.P. Baltes, Topics in Current Physics, Vol. 9 ( Springer, Berlin, Heidelberg, New York 1978 ) pp. 155–189
H.G. Booker, J.A. Ratcliffe, D.H. Shinn: Phil. Trans. Roy. Soc. (London) 242, 579 (1950)
R.P. Mercier: Proc. Camb. Phil. Soc. 58, 382 (1962)
E.E. Salpeter: Astrophys. J. 147, 433 (1967)
R. Buckley: Austral. J. Phys. 24, 351, 373 (1971)
V.I. Shishov: Izv. Vuz. Radiofuz. 14, 85 (1971)
L.S. Taylor, C.J. Infosino: J. Opt. Soc. Am. 65, 78 (1975)
E. Jakeman, J.G. McWhirter: J. Phys. A 9, 1599 (1977)
J.W. Strohbehn: Proc. IEEE 56, 1301 (1968)
R.S. Lawrence, J.W. Strohbehn: Proc. IEEE 58, 1523 (1970)
R.L. Fante: Proc. IEEE 63, 1669 (1975)
A.M. Prokhorov, F.V. Bunkin, K.S. Gochelashvily, V.I. Shishov: Proc. IEEE 63, 790 (1975)
G. Parry, P.N. Pusey, E. Jakeman, J.G. McWhirter: The Statistical and Corr-lation Properties of Light Scattered by a Random Phase Screen“, in Coherenc and Quantum optics IV, ed. by L. Mandel, E. Wolf ( Plenum Press, New York 1978 ) pp. 351–361
R.J. Glauber: “Optical Coherence and Photon Statistics”, in Quantum Optics nd Electronics, ed. by C. DeWitt, A. Blandin, C. Cohen-Tannoudji ( Gordon and Breach, New York 1965 ) pp. 65–185
N. Tornau, A. Bach: Opt. Commun. 11, 46 (1974)
D. Stoler: Phys. Rev. Lett. 33, 1397 (1974)
H.D. Simaan, R. Loudon: J. Phys.A 8, 539 (1975)
H.J. Carmichael, D.F. Walls: J. Phys.B 9, L43 (1976)
H.J. Kimble, M. Dagenais, L. Mandel: Phys. Rev. Lett. 39, 691 (1977)
L. Mandel: Proc. Phys. Soc. 74, 233 (1959)
E. Wolf, C.L. Mehta: Phys. Rev. Lett. 13, 705 (1964)
S.O. Rice: Bell Syst. Tech. J. 23, 282 (1944)
L. Mandel, E. Wolf: Rev. Mod. Phys. 37, 231 (1965)
] R. Loudon: The Quantum Theory of Light (Clarendon Press, Oxford 1973) Chap.10
A. Schell, R. Barakat: J. Phys.A 6, 826 (1973)
A.J.F. Siegert: MIT Rad. Lab. Rpt. No. 465 (1943)
D. Middleton: Quart. Appl. Math. 5, 455 (1948)
I.S. Reed: IRE Trans. Inf. Theory IT-8, 194 (1962)
E. Jakeman, C.J. Oliver, E.R. Pike: J. Phys.A 1, 406 (1968)
E.E. Serrallach, M. Zulauf: J. Appl. Math. Phys. 26, 669 (1975)
G. Bedard, J.C. Chang, L. Mandel: Phys. Rev. 160, 1496 (1967)
G. Lachs: J. Appl. Phys. 42, 602 (1971)
S.K. Srinivasan, S. Sukavanam: J. Phys. A 5, 682 (1972)
B.E.A. Saleh: J. Appl. Phys. 46, 943 (1975)
S.K. Srinivasan, S. Sukavanam: Phys. Lett. 60A, 287 (1977)
E. Jakeman: J. Phys. A 3, 201 (1970)
V. Degiorgio, J.B. Lastovka: Phys. Rev.A 4, 2033 (1971)
R.G.W. Brown, R.D. Callan, W. Jenkins, I. Miller, C.J. Oliver, E.R. Pike, D.J. Watson, M. Wood: In “Photon Correlation Techniques in Fluid Mechanics”, Proc. 2nd Intern. Conf., Stockholm, Sweden, June 14–16, 1978, Phys. Scr. 19, 365 (1979)
J.H. Van Vleck: Harvard Univ. Rad. Res. Lab. Rpt. No. 51 (1943)
J.H. Van Vleck, D. Middleton: Proc. IEEE 54, 2 (1966)
E. Jakeman, E.R. Pike: J. Phys.A 2, 411 (1969)
E. Jakeman, E.R. Pike, S. Swain: J. Phys.A 3, L55 (1970)
E. Jakeman, E.R. Pike, S. Swain: J. Phys. A 4, 517 (1971)
A.J. Hughes, E. Jakeman, C.J. Oliver, E.R. Pike: J. Phys. A6, 1327 (1973)
P.N. Pusey, W.I. Goldburg: Phys. Rev. A 3, 766 (1971)
D.W. Schaefer, B.J. Berne: Phys. Rev. Lett. 28, 475 (1972)
E. Jakeman, C.J. Oliver, E.R. Pike, P.N. Pusey: J. Phys.A 5, L93 (1972)
E. Jakeman, C.J. Oliver, E.R. Pike: J. Phys.A 3, L45 (1970)
M. Born, E. Wolf: Principles of Optics (Pergamon, London, New York 1959 ) p. 397
] E. Jakeman: In Ref.[3.1], pp.75–149
D.E. Koppel: J. Appl. Phys. 42, 3216 (1971)
S.H. Chen, P. Tartaglia: Opt. Commun. 6, 119 (1972)
G. Lachs: Phys. Rev. 138, B1012 (1965)
J. Peina: Phys. Lett. 24A, 333 (1967)
E. Jakeman, J.G. McWhirter, P.N. Pusey: J. Opt. Soc. Am. 66, 1175 (1976)
A.S. Clarke: RARDE Tech. Rpt. 7 /77 (1977)
F.A. Johnson, R. Jones, T.P. McLean, E.R. Pike: Phys. Rev. Lett. 16, 589 (1966)
G. Bedard: Proc. Phys. Soc. 90, 131 (1967)
I. Delotto, P.F. Manfredi, P. Principio: Energia Nucl. (Milan) 11, 557 (1964)
R.F. Chang, V. Korenman, C.O. Alley, R.W. Detenbeck: Phys. Rev. 178, 612 (1969)
E. Jakeman, E.R. Pike: J. Phys.A 1, 690 (1968)
Y.N. Barabanenkov, Y.A. Kraystov, S.M. Rytov, V.I. Tatarskii: Usp. Fiz. Nauk. 102, 1 (1970)
B.J. Uscinski: The Elements of Wave Propagation in Random Media ( McGraw-Hill, New York 1977 )
B.J. Uscinski: J. Atmos. Terrest. Phys. 40, 1257 (1978)
R. Dashen: Stanford Res. Inst. Tech. Rpt. JSR-76–1 (1977)
E. Jakeman, P.N. Pusey: J. Phys.A 6, L88 (1973)
E. Jakeman, P.N. Pusey: IEEE Trans. AP-24, 806 (1976)
P.N. Pusey: “Statistical Properties of Scattered Radiation”, in Photon Correlation Spectroscopy and Velocimetry, ed. by H.Z. Cummins, E.R. Pike ( Plenum Press, New York 1977 ) pp. 45–141
J.C. Kluyver: Proc. Roy. Acad. Sci. Amsterdam 8, 341 (1905)
K. Pearson: “A Mathematical Theory of Random Migration”, in Draper’s Company Research Memoirs Biometric Series III, No. 15 (1906)
Lord Rayleigh: Philos. Mag. 6, 321 (1919)
D.W. Schaefer, P.N. Pusey: Phys. Rev. Lett. 29, 843 (1972)
P.N. Pusey, D.W. Schaefer, D.E. Koppel: J. Phys.A 7, 530 (1974)
S.H. Chen, P. Tartaglia, P.N. Pusey: J. Phys. A6, 490 (1973)
E. Jakeman, P.N. Pusey: Radar 77 ( IEE, London 1977 ) p. 105
B.J. Hoenders, E. Jakeman, H.P. Baltes, B. Steinle: Opt. Acta 26, 1307–1319 (1979)
W. Feller: An Introduction to Probability Theory and its Applications, Vol.1 (Wiley, New York 1968 ) p. 285
] M.S. Bartlett: An Introduction to Stochastic Processes (Cambridge University Press, Cambridge 1966) Chap.3
E. Jakeman, P.N. Pusey: Phys. Lett. 44A, 456 (1973)
E. Jakeman, P.N. Pusey: J. Phys.A 8, 369 (1975)
P.N. Pusey, E. Jakeman: J. Phys. A 8, 392 (1975)
C. Deutsch, P.N. Keating: J. Appl. Phys. 40, 4049 (1969)
G. Parry, P.N. Pusey: J. Opt. Soc. Am. 69, 796 (1979)
V.I. Tatarskii: Wave Propagation in a Turbulent Medium ( Dover, New York 1967 )
E. Jakeman, C.J. Oliver, E.R. Pike: J. Phys. A1, 497 (1968)
Pike, E.R.: The Malvern correlator. Case study in development. Phys. Technol. 10, 104–109 (1979)
Parry, G., Walker, J.G., Scaddan, R.J.: On the statistics of stellar speckle patterns and pupil plane scintillation. Opt. Acta 26, 563–574 (1979)
Oliver, C.J.: Spectral analysis with short data batches. J. Phys. A12, 591–617 (1979)
Fujii, H.: Contrast variation of non-gaussian speckle. Opt. Acta 27, 409–418 (1980)
Jakeman, E.: Statistics of integrated gamma-lorentzian intensity fluctuations. Opt. Acta 27, 735–741 (1980)
Chapter 4
Davies, E.B.: Quantum Theory of Open Systems (Academic Press, London 1976) Chap. 5, pp. 69–84
Srinivas, M.D., Davies, E.B.: Photon counting probabilities in quantum optics. To be published
Aoki, T., Sakurai, K.: Photon statistics of partially polarized Gaussian light. Phys. Rev. A20, 1593–1598 (1979)
Barakat, R.: Intensity correlations in the presence of additive background noise. Opt. Commun. 28, 4–6 (1979)
Mandel, L.: Inversion problem in photon counting with dead time. J. Opt. Soc. Am. 70, 873–874 (1980)
McGuire, D.: Coherent detection of partially coherent sources. Opt. Letts. 5, 73–75 (1980)
Selloni, A., Quattropani, A., Schwendimann, P., Baltes, H.P.: Temperature effects in photodetection: additional results. Phys. Rev. A22, 315–317 (1980)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Jakeman, E., Pusey, P.N. (1980). Photon-Counting Statistics of Optical Scintillation. In: Baltes, H.P. (eds) Inverse Scattering Problems in Optics. Topics in Current Physics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81472-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-81472-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81474-7
Online ISBN: 978-3-642-81472-3
eBook Packages: Springer Book Archive