Narrow beams in scattering media: the advanced small-angle approximation

Abstract

The problem of the propagation of narrow radiation beams in a scattering medium is considered. The previously formulated small-angle approximation solution accounting for the path length spread is further developed. The numerical scheme for practical calculations is implemented, and the simulation results are presented and discussed. Applicability of the new solution to certain problems of optical communications and data transfer techniques is shown.

Propagation of optical pulses in natural waters

“…Both on open air and underwater communication channels, a field of diffusely scattered radiation formed around the laser beam [6]. A mathematical description of the process of propagation of unmodulated radiation in a scattering medium obtained using the theory of radiative transfer, the basic equation of which can be written as [7]:…”

Russian National Report: Meteorology and Atmospheric Sciences

“…Therefore, to sample RTE it is necessary to eliminate the anisotropic part of the solution, including all of its singularities, even approximately, but analytically, and to formulate the equation for the regular part solution. The anisotropic part elimination in the RTE solution in other geometries and numerical determination of its regular part is considered in papers [Ilyushin and Budak, 2011a, 2011cBudak and Ilyushin, 2011]. The generalization of the small-angle modification of the spherical harmonics method (MSH) is proposed for the refinement of the scattered photon path dispersion.…”

Backscattering halo from the beam in the scattering medium with highly forward peaked phase function: is it feasible?

“…This approximate solution does not account for the path length dispersion, and therefore the solution diverges at small phase angles and large optical thickness of the medium. Accounting for the path length dispersion [11] results in the differential equation of the second order, which prevents its integration along the characteristics to solve it in close analytical form. However, the singularity in q 0 in Eq.…”