Autosoliton transmission in dispersion-managed systems guided by in-line nonlinear optical loop mirrors

We examine the feasibility of optical pulse transmission in dispersion-managed fiber systems with in-line nonlinear optical loop mirrors. Applying numerical analysis, we find regimes of stable propagation over long distances in such lines, with a significant increase in the signal-to-noise ratio.     

Soliton collisions with wavelength-division multiplexed systems with strong dispersion management

We investigate collisions between solitons in a lossless two-channel wavelength-division multiplexed system with strong dispersion management. Numerical results show that the net frequency shift that is due to interchannel collisions is at least 1 order of magnitude smaller than predicted by adiabatic theories. A modified theoretical analysis is presented and shown to be in good agreement with the numerical results.     

Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion

We determine the power dependence of dispersion-managed solitons on map strength and average dispersion, using a combination of numerical simulations and the variational approach. In particular, we investigate the behavior near zero dispersion and identify the region of existence of dispersion-managed solitons in the average normal-dispersion regime.     

Slotted resonator: principles and applications for high-frequency imaging and spectroscopy on electrically conducting samples

The electric equivalent of an Alderman-Grant slotted resonator is analyzed in terms of two one-turn solenoids interconnected by a slotted cylinder resonator. The homogeneity of the magnetic RF field is probed using NMR imaging techniques and found to be comparable to that of a saddle-shaped coil. The dielectric losses of the slotted resonator are intrinsically low and much smaller than the inductive losses. Inductive losses are found to be proportional to the sample conductivity and to the fourth power of the sample diameter.     

Self-Similar Parabolic Optical Solitary Waves

We study solutions of the nonlinear Schrödinger equation (NLSE) with gain, describing optical pulse propagation in an amplifying medium. We construct a semiclassical self-similar solution with a parabolic temporal variation that corresponds to the energy-containing core of the asymptotically propagating pulse in the amplifying medium. We match the self-similar core through Painlevé functions to the solution of the linearized equation that corresponds to the low-amplitude tails of the pulse. The analytic solution accurately reproduces the numerically calculated solution of the NLSE.     

Symmetries, chirp-free points, and bistability in dispersion-managed fiber lines

We show from an elementary symmetry analysis that, in dispersion-compensated systems for which a lossless model is valid, nonlinearity requires a chirp-free point at the center of symmetry (if such exists) of the map for any kind of unique periodic solution. We also present an example of a more-complex map when the periodic solution is not unique.