Daniela Milovic

Singular solitons in optical metamaterials by ansatz method and simplest equation approach

This paper derives singular 1-soliton solution for optical metamaterials. There are two integration approaches that obtains the solution. These are the ansatz approach and the simplest equation approach. The second method also leads to an additional set of solutions that emerge as a by-product. These are topological soliton, rational solution and singular periodic solution. The constraint conditions for the existence of these solutions are also exhibited. The numerical simulation of a topological 1-soliton solution is also exhibited.

OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRÖDINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE

This paper studies the perturbation of the improved version of the nonlinear Schrodingers equation that governs the propagation of solitons through nonlinear optical fibers. The semi-inverse variational principle is employed in order to obtain an analytical soliton solution in presence of the perturbation terms. There are three types of nonlinearity that will be studied. They are Kerr law, power law and the log law. The constraint conditions will naturally fall out in order for the soliton solutions to exist. The numerical simulations supplement the analytical results for each of the three laws of nonlinearity.

Mathematical theory of dispersion-managed optical solitons

Nonlinear Schrodingers Equation.- Polarization Preserving Fibers.- Birefringent Fibers.- Multiple Channels.- Optical Crosstalk.- Gabitov-Turitsyn Equation.- Quasi-linear Pulses.- Higher Order Gabitov-Turitsyn Equations.

Optical soliton perturbation in a log-law medium with full nonlinearity by He's semi-inverse variational principle

In this article, optical soliton solution of the non-linear Schrödingers equation with log law non-linearity is obtained by Hes variational principle. The perturbation terms that are considered are inter-modal dispersion, self-steepening term and non-linear dispersion, where the last two perturbation terms are with full non-linearity. A numerical simulation is given to complete the study.

Optical soliton perturbation with time-dependent coefficients in a log law media

Abstract This paper obtains the exact 1-soliton solution to the nonlinear Schrodinger’s equation with log law nonlinearity in presence of time-dependent perturbations. The dispersion and nonlinearity are also taken to be time-dependent. The perturbation terms that are considered are linear attenuation and inter-modal dispersion. The constraint condition between the time-dependent coefficients also fall out as a necessary condition for the solitons to exist.

Raman solitons in nanoscale optical waveguides, with metamaterials, having polynomial law non-linearity

This paper reports bright Raman soliton solutions in optical metamaterials. The polynomial law and triple law non-linearity are discussed. Travelling wave hypothesis is employed to conduct the mathematical analysis. Implicit solutions in terms of elliptic integral of the third kind are obtained. The analytical results are supplemented with numerical simulations.

Optical Solitons with Higher Order Dispersion by Semi-Inverse Variational Principle

This paper studies optical solitons, in presence of higher order dispersion terms by the aid of Hes semi-inverse variational principle. Both Kerr law and power law are taken into consideration. The numerical simulations are also given to complete the analysis.

SOLITON PERTURBATION THEORY FOR DISPERSION-MANAGED OPTICAL FIBERS

This paper studies the propagation of solitons through optical fibers with dispersion management. The adiabatic variation of the soliton parameters, due to the presence of perturbation terms, is obtained. The dynamics is studied for the case of polarization-preserving fibers, while the types of pulses that are considered here are Gaussian, super-Gaussian and supersech. The perturbation terms that are taken into consideration are both local and nonlocal.

Influence of Even Order Dispersion on Soliton Transmission Quality with Coherent Intereference

The transmission speed of optical networks strongly depends on the impact of higher order dispersion. In the presence of coherent interference which can’t be kept under control by optical filtering, the impact of higher order dispersion becomes more serious. In this paper we give general expressions that describe pulse deformation due to even higher order dispersion in a single-mode fiber. The impulsive responses for even order dispersion in the presence of coherent interference are characterized by symmetrical waveforms with long trailing skirts. Individual and joint influence of second and fourth order dispersion on the transmission quality is studied. Pulse shape and eye diagram are obtained.

An exact solution for the modified nonlinear Schrödinger’s equation for Davydov solitons in α-helix proteins

The solitons in alpha-helix proteins that are governed by the nonlinear Schrödingers equation is investigated in presence of perturbation terms in this paper. The integration of this perturbed nonlinear Schrödingers equation is carried out. The solitary wave ansatz is used to carry out the integration and the parameter domain is identified.