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Proceedings Paper

Construction of the first-order stochastic nonlinear differential equations in the modeling of stimulated scattering of optical fields
Author(s): Vasile D. Babin; Maria Grigore; Laurentiu Cojocaru; Simion Ersen; Adrian Moldovan
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Paper Abstract

In this work we use a technique inspired by the inverse problem in the scattering theory, that is, the calculation of partial derivatives along the characteristic directions of the D'Alembert solution of the wave equation (Maxwell and Euler). In this way, we construct a system of stochastic non-linear differential equations. The analysis of this system, using algebraic invariants, gives more information in comparison with that given by Ghelfand-Levitan-Marcenko, in the inverse problem in the scattering theory.

Paper Details

Date Published: 2 July 1998
PDF: 6 pages
Proc. SPIE 3405, ROMOPTO '97: Fifth Conference on Optics, (2 July 1998); doi: 10.1117/12.312799
Show Author Affiliations
Vasile D. Babin, National Institute of Research and Development for Optoelectronics (Romania)
Maria Grigore, National Institute of Research and Development for Optoelectronics (Romania)
Laurentiu Cojocaru, National Institute of Research and Development for Optoelectronics (Romania)
Simion Ersen, National Institute of Research and Development for Optoelectronics (Romania)
Adrian Moldovan, National Institute of Research and Development for Optoelectronics (Romania)


Published in SPIE Proceedings Vol. 3405:
ROMOPTO '97: Fifth Conference on Optics
Valentin I. Vlad; Dan C. Dumitras, Editor(s)

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