A variational analysis of dynamics of soliton solution of coupled nonlinear Schrödinger equations with oscillating terms is made, considering a birefringent fiber with a third-order nonlinearity in the anomalous dispersion frequency region. This theoretical model predicts optical soliton oscillations in lossy fibers. 1. Introduction. The propagation of bright solitons in birefringent optical fi...

We study the dynamics of dark solitons in spatially inhomogeneous media with applications to cigar-shaped Bose–Einstein condensates trapped in a harmonic magnetic potential and a periodic potential representing an optical lattice. We distinguish and systematically investigate the cases with the optical lattice period being smaller, larger, or comparable to the width of the dark soliton. Analyti...

An optical time division multiplexing (TDM) scheme using soliton interaction is proposed in the thesis to save the time-bandwidth prduct (TBP). The soliton multiplexer (MUX) consisting of a highly nonlinear fiber (HNLF) combines two adjacent solitons to form a composite soliton, while the soliton demultiplexer (DEMUX) consisting of a similar HNLF restores the component solitons. The case of int...

We analyze the propagation of discrete solitons in a periodic system of weakly coupled nonlinear optical waveguides, i.e., a waveguide array. Soliton reflection, transmission, and trapping, as well as coherent and incoherent interaction with a linear guided wave [which can exist owing to defect (inhomogeneous) coupling between two neighboring waveguides], are demonstrated numerically and invest...

Pulse broadening for optical solitons due to birefringence is investigated. We present an analytical solution which describes the propagation of solitons in birefringent optical fibers. The special solutions consist of a combination of purely solitonic terms propagating along the principal birefringence axes and soliton-soliton interaction terms. The solitonic part of the solutions indicates th...

In this thesis, nonlinear birefringence in optical fibers has been investigated both experimentally and theoretically. Good agreement has been found between experiment and theory. Its applications in ultrafast optical pulse shaping has been discussed. A more efficient scheme of pulse shaping based on nonlinear birefringence has been proposed and analyzed. It was found that the ellipticity of in...

We analyze a fiber-optic component which could find multiple uses in novel information-processing systems utilizing squeezed states of light. Our approach is based on the phenomenon of photon-number squeezing of soliton noise after the soliton has propagated through a nonlinear optical fiber. Applications of this component in optical networks for quantum computation and quantum cryptography are...

Spatial dragging of optical solitons is an asymmetric interaction in which a weak signal soliton propagating at a tilted angle can drag an initially overlapping strong pump soliton with orthogonal polarization to the side, thus missing a spatial aperture at the output. A novel ultrafast all-optical wavelength converter based on (3+1)-D soliton dragging interaction between frequency shifted soli...