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The inverse problem in scattering theory of optical fields

V. BABIN1,* , M. CIOBANU1, C. RADU1

Affiliation

  1. National Institute of R&D for Optoelectronics, 1 Atomistilor str. , PO Box Mg 5, Bucharest-Magurele, Romania

Abstract

A general model was built for spatial solitons in photorefractive crystals using the inverse problem in the scattering theory. The inverse problem in the scattering theory is defined knowing the spectral data that characterize the scattering. We present a formalism regarding the use of the inverse method in solving the nonlinear differential equations. Envelope singular analytical solutions (solitons) and asymptotically solutions of the wave equation for integral equation (of SBS type) were obtained. The results are in good agreement with the results obtained in other papers..

Keywords

Inverse problem, Spatial width of optical solitons, Spectral theory in the inverse problem.

Submitted at: May 9, 2006
Accepted at: July 20, 2006

Citation

V. BABIN, M. CIOBANU, C. RADU, The inverse problem in scattering theory of optical fields, Journal of Optoelectronics and Advanced Materials Vol. 8, Iss. 4, pp. 1381-1390 (2006)