In this theoretical study, we investigate the generation of terahertz radiation by considering the beating of two similar Gaussian laser beams with different frequencies of ω1 and ω2 in a spatially modulated medium of graphite nanoparticles. The medium is assumed to contain spherical graphite nanoparticles of two different configurations: in the first configuration, the electric fields of the laser beams are parallel to the normal vector of the basal plane of the graphite structure, whereas in the second configuration, the electric fields are perpendicular to the normal vector of the basal plane. The interaction of the electric fields of lasers with the electronic clouds of the nanoparticles generates a ponderomotive force that in turn leads to the creation of a macroscopic electron current in the direction of laser polarizations and at the beat frequency ω1−ω2, which can generate terahertz radiation. We show that, when the beat frequency lies near the effective plasmon frequency of the nanoparticles and the electric fields are parallel to the basal-plane normal, a resonant interaction of the laser beams causes intense terahertz radiation.

The motivation of the present work is the study of self-focusing of an intense laser beam propagating through a magnetized bulk medium consisting of metallic nanoparticles. Using a perturbative method, the wave equation describing the nonlinear interaction of the intense laser beam with metallic magnetized nanoparticles is derived. Evolution of the laser spot size for the circular polarization with the Gaussian profile is considered. A graphite nanoparticle medium is introduced as a good candidate for self-focusing of electromagnetic waves with the wavelength in the micrometer range where plasmon resonance occurs. In such a frequency area, using a few hundred Tesla external magnetic field can substantially improve the focusing property of the medium. The threshold power for self-focusing at least two orders of magnitude is less than that for the identical case of the plasma medium. In addition, a typical external magnetic field for improving the focusing property of the medium is much lower than other conventional nonlinear media like plasma.

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In this work, modulational instability of a laser pulse in a hot magnetized plasma is investigated. Nonlinear relativistic equation, describing the amplitude evolution of a laser with finite longitudinal and transversal structure, is obtained. Taking into account the plasma dynamical non-neutrality caused by the ponderomotive force, the growth rate of the modulational instability is derived. Effect of the pulse length on the instability growth rate is investigated.