## Abstract

Born's method is applied to the time‐dependent wave equation. Exact solutions, valid for all wavelengths, are obtained for the first‐order perturbation terms for monochromatic plane and spherical waves propagating in random media with stationary temporal fluctuations. It is shown that the temporal fluctuations of the medium can be neglected if the temporal frequencies of the fluctuations are much less than the frequency of the propagating wave and if the propagation time from the transmitter to receiver is much less than the coherence time of the medium. In the atmosphere for the case where (λ^{3}_{0}/l^{4}_{0})L≪ 1, where l_{0} is the inner scale of turbulence, log‐amplitude and phase covariance functions were calculated for the polarized and depolarized fluctuations of plane waves propagating in slightly different directions. Numerical evaluation revealed that the polarized log‐amplitude fluctuations decorrelate for angular separations on the order of tan^{−1} [(λ^{0}/L)^{1/2}] while phase fluctuations decorrelate for angular separations on the order of tan^{−l}(L_{0}/L), where L_{0} is the outer scale of turbulence.

Original language | English (US) |
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Pages (from-to) | 979-988 |

Number of pages | 10 |

Journal | Radio Science |

Volume | 10 |

Issue number | 11 |

DOIs | |

State | Published - Nov 1975 |

## ASJC Scopus subject areas

- Condensed Matter Physics
- General Earth and Planetary Sciences
- Electrical and Electronic Engineering