Author
Alexey E. Mamontov
Bio: Alexey E. Mamontov is an academic researcher from Russian Academy of Sciences. The author has contributed to research in topics: Phase (waves) & Wave propagation. The author has co-authored 2 publications.
Papers
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TL;DR: In this paper, the authors proposed a further generalization of the split-step phase screen method for the 3D problem of radio occultation sounding of the Earth's atmosphere on the basis of spherical phase screens and derived the formula for the vacuum screen-to-screen propagator.
Abstract: The phase-screen (split-step) method is widely used for modeling wave propagation in inhomogeneous media. The method of plane phase screens is best known. However, for modeling a 2D problem of radio occultation sounding of the Earth’s atmosphere, the method of cylindrical phase screen was developed many years ago. In this paper, we propose a further generalization of this method for the 3D problem on the basis of spherical phase screens. In the paraxial approximation, we derive the formula for the vacuum screen-to-screen propagator. We also infer the expression for the phase thickness of a thin layer of aisotropic random media. We describe a numerical implementation of this method and give numerical examples of its application for modeling a diverging laser beam propagating on a 25-km-long atmospheric path.
01 Jan 2019
TL;DR: In this paper, the authors proposed a generalization of the split-step split-screen method for the 3D propagation of diverging beams in inhomogeneous media, based on spherical phase screens and derived the formula for the vacuum screen-to-screen propagator.
Abstract: The phase-screen (split-step) method is widely used for the modeling of wave propagation in inhomogeneous media. Most known is the method of flat phase screens. An optimized approach based on cylindrical phase screen was introduced for the 2-D modeling of radio occultation sounding of the Earth’s atmosphere. In this paper, we propose a further generalization of this method for the 3-D problem of propagation of diverging beams. Our generalization is based on spherical phase screens. In the paraxial approximation, we derive the formula for the vacuum screen- to-screen propagator. We also derive the expression for the phase thickness of a thin layer of an isotropic random media. We describe a numerical implementation of this method and give numerical examples of its application for the modeling of a diverging laser beam propagating on a 25 km long atmospheric path.