Stability analysis of semidiscrete schemes for thermal blooming computation

Peter B. Ulrich

doi:10.1117/12.43557

1 May 1991 Stability analysis of semidiscrete schemes for thermal blooming computation

Peter B. Ulrich

Proceedings Volume 1408, Propagation of High-Energy Laser Beams Through the Earth's Atmosphere II; (1991) https://doi.org/10.1117/12.43557
Event: Optics, Electro-Optics, and Laser Applications in Science and Engineering, 1991, Los Angeles, CA, United States

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.

Citation Download Citation

Peter B. Ulrich "Stability analysis of semidiscrete schemes for thermal blooming computation", Proc. SPIE 1408, Propagation of High-Energy Laser Beams Through the Earth's Atmosphere II, (1 May 1991); https://doi.org/10.1117/12.43557

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