Effect of the outer scale on the angle of arrival variance for free-space-laser beam corrugated by non-Kolmogorov turbulence


DOI: 10.1007/s10946-009-9111-0

Cite this article as:
Tan, L., Du, W. & Ma, J. J Russ Laser Res (2009) 30: 552. doi:10.1007/s10946-009-9111-0


It is well known that atmospheric turbulence causes significant variations of the arrival angle of laser beams used in free-space communications. Usually, angle-of-arrival fluctuations of an optical wave in the plane of the receiver aperture is calculated by Kolmogorov’s power spectral-density model. Unfortunately, recently increasing experimental evidence has shown that atmospheric turbulence statistics does not obey Kolmogorov’s power spectrum model in some parts of the troposphere and stratosphere. These experiments have prompted investigations of the optical-wave propagation through atmospheric turbulence described by nonclassical power spectra. In this paper, employing a new approach and considering a non-Kolmogorov power spectrum with a generalized power law instead of the constant standard power-law value 11/3 and a generalized amplitude factor instead of the constant value 0.033, we derive the variances of the angle-of-arrival fluctuations of the plane and spherical waves in a weak turbulence for the horizontal path. The concise closed-form expressions are obtained and used to analyze the influence of spectral power-law variations on the angle-of-arrival fluctuations. In addition, the outer scale effect is also analyzed.


free-space optical communicationsatmospheric opticsnon-Kolmogorov turbulenceangle-of-arrival fluctuations

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.National Key Laboratory of Tunable Laser TechnologyHarbin Institute of TechnologyHeilongjiangChina
  2. 2.Science of CollegeQiqihar UniversityHeilongjiangChina