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.
Highlights
The method of phase screens has been widely used for the numerical simulation of the wave propagation of various nature in inhomogeneous media, including the modeling of the optical radiation propagation in a turbulent atmosphere [1,2,3,4,5] and the decimeter waves propagation during radio occultation sounding of the atmosphere [6,7,8]
We developed a new modification of the phase-screen method, which provides a reduction in computational costs when modeling the propagation of diverging wave beams
We obtained the expression for the vacuum propagator describing the propagation from screen to screen
Summary
The method of phase screens has been widely used for the numerical simulation of the wave propagation of various nature in inhomogeneous media, including the modeling of the optical (laser) radiation propagation in a turbulent atmosphere [1,2,3,4,5] and the decimeter waves propagation during radio occultation sounding of the atmosphere [6,7,8]. This method is referred to as split-step.
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