In this work we presented the results of numerical analysis of higher order nonlinear Schrodinger equation (NLSE)
performed by the method of lines (MOL). In the higher order NLSE we take into account the imaginary Raman term. It
is studied the impact of the dissipative Raman term on the femtosecond first order soliton stability. According to the
results of numerical simulations, when real part of Raman term is equal to zero in the wavelength range, where second
and third order dispersion negative, there exist analytic solitary-wave solutions. Our numerical simulations closely
follow the published analytical data.
The influence of spatial limitation femtosecond laser pulse as both on generation
efficiency of difference frequency radiation by an optical rectification in periodically-poled
GaAs crystal, and on a space-time profile of generated radiation in near and far zones is
investigated. The difference frequency radiation features generated by spatially-limited
femtosecond laser pulse with Gaussian spatial profile of intensity and the amplitude front in
periodically-poled GaAs crystal are considered. As a result of Fresnel transformation application,
an expression for the frequency-angular spectrum and the spectral density of difference
frequency radiation in the far field is obtained. It is shown that generating the difference
frequency radiation via optical rectification of spatially-limited femtosecond laser pulse in cross-section
distribution of difference frequency radiation near field a certain coordinate corresponds
to the appropriate spectral component.
We present the results of theoretical studies of the generation process of terahertz radiation arising via interaction of fewcycle
laser pulses propagating in an isotropic nonlinear medium. Numerical time-integration by the finite-difference
method of the system of nonlinear Maxwell equations has been performed. We consider the interaction of mutuallyorthogonal
linearly polarized pulses, both having the central wavelength of 1.98 μm, duration of 30 fs and the energies of
30 nJ, propagating along the normal to the <110> plane in the 1 mm-thickness GaAs crystal. The process of formation of
a terahertz pulse arising via spectral filtration of supercontinuum formed in the spectra of pump pulses at the output of
nonlinear crystal is studied. The dependences of both current frequency of the pump pulses on time for different lengths
of nonlinear crystal and of pump pulse durations on the crystal length are obtained.
Numerical solution of the wave equation describing the propagation of laser pulse of a few optical cycles in fused silica is obtained. Our numerical simulations follow closely the published experimental data. We observed a shifting of the spectrum peak of the broadened pulse depending on the input pulse central wavelength.
In this paper, the analytical solution of nonlinear wave equation, describing the propagation of non-diffracting wave beams in a medium with dielectric constant's nonlinear variation in paraxial approximation, is obtained. The obtained analytical solution gives good fit with the results of numerical integration.
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