FiniteDifference Evolution Of A Scattered Laser Pulse In Ocean Water
Abstract
The propagation of a finitesized laser pulse through ocean water is simulated. Inwater absorption and scattering are included in the simulation by using an explicit finitedifference formulation of the evolution equation equivalent to the timedependent radiative transfer equation. The finitedifference 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 finitedifference 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.
 Publication:

Society of PhotoOptical Instrumentation Engineers (SPIE) Conference Series
 Pub Date:
 August 1988
 DOI:
 10.1117/12.945706
 Bibcode:
 1988SPIE..925...22T
 Keywords:

 Finite Difference Theory;
 Light Scattering;
 Oceans;
 Scatter Propagation;
 Underwater Optics;
 Interpolation;
 Laser Outputs;
 Mapping;
 Pulsed Lasers;
 Radiative Transfer;
 Lasers and Masers