In this paper, we discuss recent results on the propagation of dark spatial solitons (DSS). Dark spatial solitons are particular solutions of the nonlinear Schroedinger (NLS) equation modeling propagation of light beams in optical Kerr media. Experimental results are presented for three systems, including sodium vapor, various thermally nonlinear liquids, and the bulk semiconductor system ZnSe. The results of these investigations indicate that experimental dark spatial solitons obey the conservation laws of the NLS equation, possess collision properties characteristic of the theoretical DSS solutions, and are stable to external perturbations induced by the experiment. In addition, through an interferometric technique, we investigate the phase profile of the dark spatial solitons and show that it is in good agreement with the NLS solution. In addition to the fundamental DSS, we have performed experiments where nonfundamental DSS are excited in pairs by making use of an even initial field profile as originally discussed by Zakharov and Shabat. The transverse velocities of the solitons excited in the is manner are measured and found to be in good agreement with those predicted theoretically.
"In our later research   , to identify the physical phenomenon which gave rise to the observed far-field patterns, we studied the specific features of wave propagation inside the nonlinear material. This was accomplished by examining the near-field patterns at the output face of the nonlinear material for different lengths of the material, and for various boundary conditions, including a single wire, two parallel wires, two orthogonal sets of parallel wires, a wire mesh, a single phase jump, multiple phase jumps intersecting at a point, and two parallel phase jumps. "
[Show abstract][Hide abstract] ABSTRACT: Since the research on this AFOSR grant started on March 1, '90, a number of new results were obtained by this principal investigator and his group in the field of nonlinear optics and quantum electronics. The research progressed basically in these directions: Pilot theoretical research on X-ray nonlinear optics, including resonant saturation related effects in plasmas (nonlinear absorption and nonlinear refractive index), and proposals for X-ray third harmonics generation, X-ray laser with noncoherent pumping, and X-ray four-wave mixing; Experimental discovery and experimental and theoretical research on dark spatial solitons; Theoretical investigation of previously discovered by this PI and his group dispersion related multimode amplification, instabilities, oscillations and chaos in nonlinear counterpropagating waves; Theoretical research on the fundamental problem of gradient-field-induced second-order nonlinear optical processing vacuum due to the photon-photon scattering of intense laser radiation in a dc magnetic field. jg p.4
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