| Issue |
ITM Web Conf.
Volume 30, 2019
29th International Crimean Conference “Microwave & Telecommunication Technology” (CriMiCo’2019)
|
|
|---|---|---|
| Article Number | 15027 | |
| Number of page(s) | 8 | |
| Section | Radio Astronomy, Remote Sensing and Radio Wave Propagation (9) | |
| DOI | https://doi.org/10.1051/itmconf/20193015027 | |
| Published online | 27 November 2019 | |
Method of spherical phase screens for the modeling of propagation of diverging beams in inhomogeneous media
1 A.M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevsky per., 3, Moscow 119017, Russia
2 Hydrometeorological Research Center of Russian Federation, Bolshoy Predtechensky per., 11–13, Moscow 123242, Russia
* Corresponding author: kov.oksana20@gmail.com
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.
© The Authors, published by EDP Sciences, 2019
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