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Proceedings Paper

Finite-Difference Evolution Of A Scattered Laser Pulse In Ocean Water
Author(s): J Tessendorf; C Piotrowski; R L Kelly
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Paper Abstract

The propagation of a finite-sized laser pulse through ocean water is simulated. In-water absorption and scattering are included in the simulation by using an explicit finite-difference formulation of the evolution equation equivalent to the time-dependent radiative transfer equation. The finite-difference scheme assumes that the time step is sufficiently small that the distance the light travels in one step is less than one scattering length. It also includes a causal interpolation algorithm which insures that the observed speed of light is equal to the physical speed to within the spatial and temporal resolution of the calculation. It is shown that the scheme is stable regardless of the grid geometry. With only a few restrictions connecting the spatial, angular, and temporal grids, it is also consistent. As guaranteed by Lax's theorem, the consistency and stability of this scheme imply that the finite-difference solution converges to the continuous solution as the grids become dense. The propagation, absorption, and scattering of a cylindrically symmetric pulse are shown, and the spread of the pulse is calculated from the simulation.

Paper Details

Date Published: 12 August 1988
PDF: 14 pages
Proc. SPIE 0925, Ocean Optics IX, (12 August 1988); doi: 10.1117/12.945706
Show Author Affiliations
J Tessendorf, Arete Associates (United States)
C Piotrowski, Arete Associates (United States)
R L Kelly, Arete Associates (United States)

Published in SPIE Proceedings Vol. 0925:
Ocean Optics IX
Marvin A. Blizard, Editor(s)

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