Finite-Difference Evolution Of A Scattered Laser Pulse In Ocean Water

J Tessendorf; C Piotrowski; R L Kelly

doi:10.1117/12.945706

12 August 1988 Finite-Difference Evolution Of A Scattered Laser Pulse In Ocean Water

J Tessendorf, C Piotrowski, R L Kelly

Proceedings Volume 0925, Ocean Optics IX; (1988) https://doi.org/10.1117/12.945706
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States

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.

Citation Download Citation

J Tessendorf, C Piotrowski, and R L Kelly "Finite-Difference Evolution Of A Scattered Laser Pulse In Ocean Water", Proc. SPIE 0925, Ocean Optics IX, (12 August 1988); https://doi.org/10.1117/12.945706

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