O. Korotkova, L. C. Andrews, and R. L. Phillips, "Speckle propagation through atmospheric turbulence: effects of a random phase screen at the source," in Proc. SPIE 4821, 98-109 (2002).

[Crossref]

M. A. Vorontsov and G. W. Carhart, "Adaptive phase distortion correction in strong speckle-modulation conditions," Opt. Lett. 27, 2155-2157 (2002).

[Crossref]

S. M. Flatte, "Calculations of wave propagation through statistical random media, with and without a waveguide," Opt. Express 10, 777-804 (2002).

[PubMed]

V. I. Polejaev and M. A. Vorontsov, "Adaptive active imaging system based on radiation focusing for extended targets," in Proc. SPIE 3126, 216-220 (1997).

[Crossref]

M. A. Vorontsov, V. N. Karnaukhov, A. L. Kuz'minskii, and V. I. Shmalhauzen, "Speckle-effects in adaptive optical systems," Sov. J. Quantum Electron. 14, 761-766 (1984).

[Crossref]

V. V. Kolosov and A. V. Kuzikovskii, "On phase compensation for refractive distortions of partially coherent beams," Sov. J. Quantum Electron. 8, 490-494 (1981).

S. A. Kokorowski, M. E. Pedinoff, and J. E. Pearson, "Analytical, experimental, and computer-simulation results on the interactive effects of speckle with multidither adaptive optics systems," J. Opt. Soc. Am. 67, 333-345 (1977).

[Crossref]

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time dependent propagation of high energy laser beam through the atmosphere," Appl. Phys. 11, 329-335 (1977).

V. V. Vorob'ev, "Narrowing of light beam in nonlinear medium with random inhomogeneities of the refraction index," Radiophys. Quantum Electron. 13, 1053-1060 (1970).

V. V. Tamoikin and A. A. Fraiman, "Statistical properties of field scattered by rough surface," Radiophys. Quantum Electron. 11, 56-74 (1966).

O. Korotkova, L. C. Andrews, and R. L. Phillips, "Speckle propagation through atmospheric turbulence: effects of a random phase screen at the source," in Proc. SPIE 4821, 98-109 (2002).

[Crossref]

J. C. Ricklin, W. B. Miller, and L. C. Andrews, "Effective beam parameters and the turbulent beam waist for convergent Gaussian beams," Appl. Opt. 34, 7059-7065 (1995).

[Crossref]
[PubMed]

V. A. Banakh and V. L. Mironov, Lidar in a Turbulent Atmosphere (Artech House, 1987).

F. G. Bass and I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, 1980).

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge U. Press, 1999).

[PubMed]

P. DuChateau and D. Zachmann, Applied Partial Differential Equations (Dover, 2002).

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time dependent propagation of high energy laser beam through the atmosphere," Appl. Phys. 11, 329-335 (1977).

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time dependent propagation of high energy laser beam through the atmosphere," Appl. Phys. 11, 329-335 (1977).

V. V. Tamoikin and A. A. Fraiman, "Statistical properties of field scattered by rough surface," Radiophys. Quantum Electron. 11, 56-74 (1966).

F. G. Bass and I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, 1980).

J. W. Goodman, Statistical Optics (Wiley-Interscience, 1985).

J. F. Holmes, M. H. Lee, and J. R. Kerr, "Effect of the log-amplitude covariance function on the statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 70, 355-360 (1980).

[Crossref]

P. A. Pincus, M. E. Fossey, J. F. Holmes, and J. R. Kerr, "Speckle propagation through turbulence: experimental," J. Opt. Soc. Am. 68, 760-762 (1978).

[Crossref]

M. H. Lee, J. F. Holmes, and J. R. Kerr, "Statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 66, 1164-1172 (1976).

[Crossref]

M. A. Vorontsov, V. N. Karnaukhov, A. L. Kuz'minskii, and V. I. Shmalhauzen, "Speckle-effects in adaptive optical systems," Sov. J. Quantum Electron. 14, 761-766 (1984).

[Crossref]

J. F. Holmes, M. H. Lee, and J. R. Kerr, "Effect of the log-amplitude covariance function on the statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 70, 355-360 (1980).

[Crossref]

P. A. Pincus, M. E. Fossey, J. F. Holmes, and J. R. Kerr, "Speckle propagation through turbulence: experimental," J. Opt. Soc. Am. 68, 760-762 (1978).

[Crossref]

M. H. Lee, J. F. Holmes, and J. R. Kerr, "Statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 66, 1164-1172 (1976).

[Crossref]

A. N. Kolmogorov, "The local structure of turbulence in incompressible viscous fluids for very large Reynolds' numbers," in Turbulence, Classic Papers on Statistical Theory, S.K.Friedlander and L.Topper, eds. (Wiley-Interscience, 1961), pp. 151-155.

O. Korotkova, L. C. Andrews, and R. L. Phillips, "Speckle propagation through atmospheric turbulence: effects of a random phase screen at the source," in Proc. SPIE 4821, 98-109 (2002).

[Crossref]

M. S. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics 4, Wave Propagation through Random Media (Springer-Verlag, 1989).

V. V. Kolosov and A. V. Kuzikovskii, "On phase compensation for refractive distortions of partially coherent beams," Sov. J. Quantum Electron. 8, 490-494 (1981).

M. A. Vorontsov, V. N. Karnaukhov, A. L. Kuz'minskii, and V. I. Shmalhauzen, "Speckle-effects in adaptive optical systems," Sov. J. Quantum Electron. 14, 761-766 (1984).

[Crossref]

J. F. Holmes, M. H. Lee, and J. R. Kerr, "Effect of the log-amplitude covariance function on the statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 70, 355-360 (1980).

[Crossref]

M. H. Lee, J. F. Holmes, and J. R. Kerr, "Statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 66, 1164-1172 (1976).

[Crossref]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

V. A. Banakh and V. L. Mironov, Lidar in a Turbulent Atmosphere (Artech House, 1987).

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time dependent propagation of high energy laser beam through the atmosphere," Appl. Phys. 11, 329-335 (1977).

O. Korotkova, L. C. Andrews, and R. L. Phillips, "Speckle propagation through atmospheric turbulence: effects of a random phase screen at the source," in Proc. SPIE 4821, 98-109 (2002).

[Crossref]

V. I. Polejaev and M. A. Vorontsov, "Adaptive active imaging system based on radiation focusing for extended targets," in Proc. SPIE 3126, 216-220 (1997).

[Crossref]

M. C. Roggemann and B. M. Welsh, Imaging through Turbulence (CRC Press, 1996).

M. S. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics 4, Wave Propagation through Random Media (Springer-Verlag, 1989).

M. A. Vorontsov, V. N. Karnaukhov, A. L. Kuz'minskii, and V. I. Shmalhauzen, "Speckle-effects in adaptive optical systems," Sov. J. Quantum Electron. 14, 761-766 (1984).

[Crossref]

V. V. Tamoikin and A. A. Fraiman, "Statistical properties of field scattered by rough surface," Radiophys. Quantum Electron. 11, 56-74 (1966).

M. S. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics 4, Wave Propagation through Random Media (Springer-Verlag, 1989).

V. V. Vorob'ev, "Narrowing of light beam in nonlinear medium with random inhomogeneities of the refraction index," Radiophys. Quantum Electron. 13, 1053-1060 (1970).

M. A. Vorontsov and V. V. Kolosov, "Target-in-the-loop beam control: basic considerations for analysis and wave-front sensing," J. Opt. Soc. Am. A 22, 126-141 (2005).

[Crossref]

M. A. Vorontsov and G. W. Carhart, "Adaptive phase distortion correction in strong speckle-modulation conditions," Opt. Lett. 27, 2155-2157 (2002).

[Crossref]

V. I. Polejaev and M. A. Vorontsov, "Adaptive active imaging system based on radiation focusing for extended targets," in Proc. SPIE 3126, 216-220 (1997).

[Crossref]

M. A. Vorontsov, V. N. Karnaukhov, A. L. Kuz'minskii, and V. I. Shmalhauzen, "Speckle-effects in adaptive optical systems," Sov. J. Quantum Electron. 14, 761-766 (1984).

[Crossref]

M. C. Roggemann and B. M. Welsh, Imaging through Turbulence (CRC Press, 1996).

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge U. Press, 1999).

[PubMed]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

P. DuChateau and D. Zachmann, Applied Partial Differential Equations (Dover, 2002).

J. A. Fleck, J. R. Morris, and M. D. Feit, "Time dependent propagation of high energy laser beam through the atmosphere," Appl. Phys. 11, 329-335 (1977).

D. L. Fried, "Statistics of a geometric representation of wavefront distortion," J. Opt. Soc. Am. 55, 1427-1435 (1965).

[Crossref]

M. H. Lee, J. F. Holmes, and J. R. Kerr, "Statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 66, 1164-1172 (1976).

[Crossref]

P. A. Pincus, M. E. Fossey, J. F. Holmes, and J. R. Kerr, "Speckle propagation through turbulence: experimental," J. Opt. Soc. Am. 68, 760-762 (1978).

[Crossref]

J. F. Holmes, M. H. Lee, and J. R. Kerr, "Effect of the log-amplitude covariance function on the statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 70, 355-360 (1980).

[Crossref]

S. A. Kokorowski, M. E. Pedinoff, and J. E. Pearson, "Analytical, experimental, and computer-simulation results on the interactive effects of speckle with multidither adaptive optics systems," J. Opt. Soc. Am. 67, 333-345 (1977).

[Crossref]

O. Korotkova, L. C. Andrews, and R. L. Phillips, "Speckle propagation through atmospheric turbulence: effects of a random phase screen at the source," in Proc. SPIE 4821, 98-109 (2002).

[Crossref]

V. I. Polejaev and M. A. Vorontsov, "Adaptive active imaging system based on radiation focusing for extended targets," in Proc. SPIE 3126, 216-220 (1997).

[Crossref]

V. V. Tamoikin and A. A. Fraiman, "Statistical properties of field scattered by rough surface," Radiophys. Quantum Electron. 11, 56-74 (1966).

V. V. Vorob'ev, "Narrowing of light beam in nonlinear medium with random inhomogeneities of the refraction index," Radiophys. Quantum Electron. 13, 1053-1060 (1970).

V. V. Kolosov and A. V. Kuzikovskii, "On phase compensation for refractive distortions of partially coherent beams," Sov. J. Quantum Electron. 8, 490-494 (1981).

M. A. Vorontsov, V. N. Karnaukhov, A. L. Kuz'minskii, and V. I. Shmalhauzen, "Speckle-effects in adaptive optical systems," Sov. J. Quantum Electron. 14, 761-766 (1984).

[Crossref]

P. DuChateau and D. Zachmann, Applied Partial Differential Equations (Dover, 2002).

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge U. Press, 1999).

[PubMed]

A. N. Kolmogorov, "The local structure of turbulence in incompressible viscous fluids for very large Reynolds' numbers," in Turbulence, Classic Papers on Statistical Theory, S.K.Friedlander and L.Topper, eds. (Wiley-Interscience, 1961), pp. 151-155.

There are several other effects that can contribute to return-wave coherence: molecular scattering, Doppler spectra broadening, dispersion, nonlinear effects, etc.

N.Ageorges and C.Dainty, eds., Laser Guide Star Adaptive Optics for Astronomy (Kluwer Academic, 2000).

Numerical solution (integration) of the propagation equations is typically performed using the well-known split-operator method (fast Fourier transformation-based computations of wave propagation with turbulence representation as a set of phase screens).

F. G. Bass and I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, 1980).

M. C. Roggemann and B. M. Welsh, Imaging through Turbulence (CRC Press, 1996).

J. W. Goodman, Statistical Optics (Wiley-Interscience, 1985).

M. S. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics 4, Wave Propagation through Random Media (Springer-Verlag, 1989).

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

V. A. Banakh and V. L. Mironov, Lidar in a Turbulent Atmosphere (Artech House, 1987).