SCINTILLATION INDEX OF A GAUSSIAN SCHELL-MODEL BEAM ON SLANT ATMOSPHERIC TURBULENCE

Based on the altitude-dependent model of the ITU-R slant atmospheric turbulence structure constant model, we present scintillation index calculations for a Gaussian Schell-model (GSM) beam under all irradiance fluctuation conditions. The longitudinal and radial components of the scintillation index are treated separately. Our results correctly reduce to the result of the horizontal path with atmospheric structure constant fixed, and simplify to a fully coherent beam with source coherence parameter ζs representing unit. The numerical conclusions indicate that within specific source and parameter ranges, the GSM beam is capable of offering less scintillation than the full coherent Gaussian beam. Before the maximum value of the scintillation, the scintillation index of the GSM beam will decrease with increased altitude. However, the off axis radial scintillation index will vanish when the Rytov variance is infinity.

[1]  J L Bufton.  Scintillation statistics measured in an earth-space-earth retroreflector link. , 1977, Applied optics.

[2]  Shixue Xu,et al.  AVERAGE INTENSITY AND SPREADING OF PARTIALLY COHERENT FOUR-PETAL GAUSSIAN BEAMS IN TURBULENT ATMOSPHERE , 2010 .

[3]  Larry C. Andrews,et al.  Optical scintillation of a Gaussian beam in moderate-to-strong irradiance fluctuations , 1999, Defense, Security, and Sensing.

[4]  V. Banakh,et al.  Lidar in a Turbulent Atmosphere , 1987 .

[5]  Akira Ishimaru,et al.  Wave propagation and scattering in random media , 1997 .

[6]  L C Andrews,et al.  Effective beam parameters and the turbulent beam waist for convergent Gaussian beams. , 1995, Applied optics.

[7]  Fei Wang,et al.  Average Intensity and Spreading of Partially Coherent Standard and Elegant Laguerre-Gaussian Beams in Turbulent Atmosphere , 2010 .

[8]  R. Fante.  Inner-scale size effect on the scintillations of light in the turbulent atmosphere , 1983 .

[9]  Y. Baykal,et al.  Scintillation calculations for partially coherent general beams via extended Huygens–Fresnel integral and self-designed Matlab function , 2010 .

[10]  L C Andrews,et al.  Scintillation of initially convergent Gaussian beams in the vicinity of the geometric focus. , 1995, Applied optics.

[11]  Y. Baykal,et al.  Scintillation characteristics of cosh-Gaussian beams. , 2007, Applied optics.

[12]  Y. Baykal,et al.  Scintillation index of flat-topped Gaussian beams. , 2006, Applied optics.

[13]  Lixin Guo,et al.  Study on Scintillation Considering Inner- and Outer-Scales for Laser Beam Propagation on the Slant Path through the Atmospheric Turbulence , 2008 .

[14]  G. J. Baker.  Gaussian beam weak scintillation: low-order turbulence effects and applicability of the Rytov method. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Zhensen Wu,et al.  POLARIZATION CHARACTERISTICS OF A PARTIALLY COHERENT GAUSSIAN SCHELL-MODEL BEAM IN SLANT ATMOSPHERIC TURBULENCE , 2011 .

[16]  V. I. Tatarskii.  Wave Propagation in Turbulent Medium , 1961 .

[17]  Richard A. Silverman,et al.  Wave Propagation in a Random Medium , 1960 .

[18]  K. S. Gochelashvili,et al.  Saturated fluctuations in the laser radiation intensity in a turbulent medium , 1974 .

[19]  R. Frehlich.  Intensity covariance of a point source in a random medium with a Kolmogorov spectrum and an inner scale of turbulence , 1987 .

[20]  Larry C. Andrews,et al.  Effects of a modified spectral model on the spatial coherence of a laser beam , 1994 .

[21]  X. Chu.  EVOLUTION OF BEAM QUALITY AND SHAPE OF HERMITE-GAUSSIAN BEAM IN NON-KOLMOGOROV TURBULENCE , 2011 .

[22]  L. Andrews,et al.  Laser Beam Propagation Through Random Media , 1998 .

[23]  M. Charnotskii.  Beam scintillations for ground-to-space propagation. Part I: Path integrals and analytic techniques. , 2010, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  M J Beran,et al.  Scintillation index calculations using an altitude-dependent structure constant. , 1988, Applied optics.

[25]  A. Labeyrie.  Attainment of diffraction limited resolution in large telescopes by Fourier analysing speckle patterns in star images , 1970 .

[26]  J L Bufton,et al.  Scintillation statistics caused by atmospheric turbulence and speckle in satellite laser ranging. , 1977, Applied optics.

[27]  X. Chu.  EVOLUTION OF BEAM QUALITY AND SHAPE OF HERMITE-GAUSSIAN BEAM IN NON-KOLMOGOROV TURBULENCE , 2011 .

[28]  J P Fitch,et al.  Speckle imaging of satellites at the U.S. Air Force Maui Optical Station. , 1992, Applied optics.

[29]  J. Ricklin,et al.  Atmospheric optical communication with a Gaussian Schell beam. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[30]  W. B. Miller,et al.  Spatial coherence of a Gaussian-beam wave in weak and strong optical turbulence , 1994 .

[31]  A. S. Gurvich,et al.  Strong fluctuations in the intensity of light propagated through the atmosphere close to the earth , 1965 .