Abstract

A mixed spectral expansion over elementary spherical and plane waves is suggested for use as an approximate solution of the stochastic wave equation describing propagation of optical waves in a turbulent medium. In this case, the complex amplitude of an elementary plane wave is calculated as a solution of a shortened equation, considering only the phase fluctuations of this wave. It is shown that such an approximate solution uniformly approximates statistical moments of the field (up to the fourth order, inclusive) under arbitrary conditions of wave propagation in a turbulent medium and conditions of wave diffraction on the transmitting aperture.

© 1978 Optical Society of America

Phase approximation of the Huygens–Kirchhoff method in problems of laser-beam propagation in the turbulent atmosphere

V. A. Banakh and V. L. Mironov
Opt. Lett. 1(5) 172-174 (1977)

Phase approximation of the Huygens-Kirchhoff method in problems of reflections of optical waves in the turbulent atmosphere

V. P. Aksenov and V. L. Mironov
J. Opt. Soc. Am. 69(11) 1609-1614 (1979)

Phase approximation of the Huygens–Kirchhoff method in problems of space-limited optical-beam propagation in turbulent atmosphere

V. A. Banakh and V. L. Mironov
Opt. Lett. 4(8) 259-261 (1979)

Phase-compensated optical beam propagation through atmospheric turbulence

J. Y. Wang
Appl. Opt. 17(16) 2580-2590 (1978)

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Appl. Opt. 27(17) 3704-3714 (1988)