Suzanne Sears

Self-trapping of necklace beams in self focusing Kerr media

Summary form only given. Solitons of the cubic nonlinear Schrodinger equation (NLSE) are probably the most studied solitons in nature. One of the reasons is the mathematical elegance and simplicity of this equation. But another more important reason is the vast number of physical systems that can be described by this equation. Single polarization envelope waves propagating in isotropic materials, when only the lowest order nonlinearity matters most often obey this equation. In optics, the cubic NLSE models temporal solitons in optical fibers, and low intensity solitons of all dimensions in any centrosymmetric media. Here, we present numerical simulations demonstrating the existence of what is to the best of our knowledge the first ever described (2+1)D self-trapped family of stable bright beams in the (2+1)D cubic NLSE.

(1+1)-Dimensional modulation instability of spatially incoherent light

We present a comprehensive study of the one-dimensional modulation instability of partially spatially incoherent light in noninstantaneous self-focusing media. For this instability to occur, the nonlinearity has to exceed a specific threshold that depends on the coherence properties of the beam. Above this threshold a uniform-intensity partially spatially coherent wave front becomes unstable and breaks up into periodic trains of one-dimensional stripes.

Clustering of solitons in weakly correlated wavefronts

We demonstrate theoretically and experimentally the spontaneous clustering of solitons in partially coherent wavefronts during the final stages of pattern formation initiated by modulation instability and noise.

Self-trapping of Necklace Beams in Self-Focusing Kerr Media

Solitons of the cubic Nonlinear Schrodinger Equation (NLSE) are probably the most studied solitons in nature. One of the reasons is the mathematical elegance and simplicity of this equation. But another more important reason is the vast number of physical systems that can be described by this equation.

A nonlinear amplifying loop mirror operating with wavelength division multiplexed data

We extend the functionality of the nonlinear amplifying loop mirror (NALM) to a multi-channel RZ WDM system by demonstrating the NALM as a single module for amplification and background noise suppression for four WDM data channels simultaneously. The NALM itself consists of an Er-doped fiber amplifier (EDFA) (70 mW saturated power) placed at one end of a 500 m long length of single mode fiber (SMF) and joined in a loop by a 3dB fiber coupler.

16-channel/spl times/2.5 Gbit/s WDM source using an harmonically and passively modelocked Er,Yb fiber laser

We demonstrate a simple, compact, and efficient wideband WDM source for soliton or return-to-zero (RZ) transmission. The source generates 16 wavelength channels at 2.5 Gbit/sec spaced by 1.6 nm. Since the individual bits in the 2.5 bit/sec streams are short picosecond pulses further bandwidth utilization can be achieved by TDM techniques.

Clustering in weakly correlated wavef ronts

We observe the spontaneous clustering of solitons in partially coherent wavefronts during the final stages of pattern formation initiated by modulation instability and noise. Experiments are conducted in biased photorefractives and corroborated by numerical simulations.

Cantor Set Fractals from Solitons

Solitons are general non-linear phenomena, appearing in a myriad of nonlinear wave systems in nature. Many of these systems support self-similar solitons, where a simple scaling relation exists for their sizes and intensities that maps all the solitons onto each other. Self-similar solitons occur when the underlying equation describing the system does not have any natural scale.

Gateless Computing using N-Manakov Solitons

Despite the fantastic rate at which silicon-based technologies have been progressing, there are several fundamental limitations which suggest that this progress cannot continue without bound. Even within the next decade or two these factors may start to become a real hindrance, and so interest in alternative technologies, such as quantum and DNA computing, has been growing.