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Proceedings Paper

Stability analysis of semidiscrete schemes for thermal blooming computation
Author(s): Peter B. Ulrich
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Paper Abstract

Linear perturbation theory predicts unlimited exponential growth of small scale structure in high energy laser propagation in a nonshearing absorbing fluid. A nonlinear treatment of the paraxial wave equation shows, however, that sidebands of the perturbation spatial frequency are generated which do not grow without limit, but release their energy back to the fundamental perturbed mode to produce a so-called 'recurrence' of the initial state. Based on previous work with the nonlinear Schrodinger equation, this paper reviews both the linear and the nonlinear perturbative analysis which suggests there exists in this phenomenon a possible mechanism to limit small scale instability even without the presence of absorber velocity shear.

Paper Details

Date Published: 1 May 1991
PDF: 11 pages
Proc. SPIE 1408, Propagation of High-Energy Laser Beams Through the Earth's Atmosphere II, (1 May 1991); doi: 10.1117/12.43557
Show Author Affiliations
Peter B. Ulrich, W. J. Schafer Associates, Inc. (United States)

Published in SPIE Proceedings Vol. 1408:
Propagation of High-Energy Laser Beams Through the Earth's Atmosphere II
Peter B. Ulrich; LeRoy E. Wilson, Editor(s)

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