Abstract:Dielectric constant and laser beam propagation in an underdense collisional plasma are investigated, using the wave and dielectric function equations, for their dependence on the electron temperature. Simulation results show that, due to the influence of the ponderomotive force there is a nonlinear variation of electron temperature in an underdense collisional plasma, and this leads to a complicated and interesting nonlinear variation of dielectric constant; this nonlinear variation of dielectric constant dire… Show more
“…In the nonlinear effects, due to electromagnetic field, plasma density, and temperature have important influence on laser-plasma interaction, and their distribution and influence have been a research hotspot (Xia & Xu, 2013;Harilal et al, 1997;Xia et al, 2011a;2011b). In theoretical researched works, Qiao et al (2005) have discussed the magnetic-field profile and plasma density cavitation in intense laser-plasma interaction and found they depend on the laser intensity.…”
In the paper, nonlinear structure of electromagnetic field, electron temperature, and electron density in interaction with relativistic laser and collisional underdense rippled plasma are investigated. The results are shown that due to the combination influence of relativistic effect, ohmic heating and plasma density ripple, electromagnetic field profile presents obvious asynchronism, which the peak of electric field run ahead of the peak of magnetic field. Furthermore, the electromagnetic field profiles show obvious non-sinusoidal, and the profile of electron temperature and density become highly peaked. Especially, compared with the previous work, due to the added influence of plasma density ripple, electromagnetic field, electron temperature and electron density present obvious oscillation along plasma length rather than stabilization amplitude, and their peak are out of sync.
“…In the nonlinear effects, due to electromagnetic field, plasma density, and temperature have important influence on laser-plasma interaction, and their distribution and influence have been a research hotspot (Xia & Xu, 2013;Harilal et al, 1997;Xia et al, 2011a;2011b). In theoretical researched works, Qiao et al (2005) have discussed the magnetic-field profile and plasma density cavitation in intense laser-plasma interaction and found they depend on the laser intensity.…”
In the paper, nonlinear structure of electromagnetic field, electron temperature, and electron density in interaction with relativistic laser and collisional underdense rippled plasma are investigated. The results are shown that due to the combination influence of relativistic effect, ohmic heating and plasma density ripple, electromagnetic field profile presents obvious asynchronism, which the peak of electric field run ahead of the peak of magnetic field. Furthermore, the electromagnetic field profiles show obvious non-sinusoidal, and the profile of electron temperature and density become highly peaked. Especially, compared with the previous work, due to the added influence of plasma density ripple, electromagnetic field, electron temperature and electron density present obvious oscillation along plasma length rather than stabilization amplitude, and their peak are out of sync.
“…The propagation of an electromagnetic pulse in collisional plasmas may involve a variety of physical phenomena [22][23][24][25]. In collisional plasma, the focusing of electromagnetic beams is due to a nonuniform profile of the dielectric function on account of nonuniform ohmic heating and of the associated electron plasma diffusion.…”
Nonlinear heating of collisional plasma when the temporal extent of the laser pulse is smaller than the ambipolar diffusion time has been investigated. The nonlinearity in a collisionless plasma arises through the ponderomotive force, whereas in collisional plasmas ohmic nonlinearity prevails. In this case, by considering the nonrelativistic ponderomotive force effect and the variation of the collision frequency between electrons and ions due to the temperature change, the nonlinear dielectric permittivity of the plasma medium is obtained and the equation of the electromagnetic wave propagation in underdense plasma is solved. It is shown that in this case, due to the ohmic heating of electrons, the effect of the ponderomotive force in the nonrelativistic regime leads to steepening of the electron density profile and decreases the temperature of the plasma electrons noticeably. Bunches of electrons in plasma become narrower and by increasing the laser pulse strength the wavelength of density oscillations decreases. In this regime of laser–plasma interaction, the electron temperature decreases sharply with increasing the intensity of laser pulses.
“…[3] In these phenomenon, beam self-focusing is a very important nonlinear phenomenon, which not only affect the ratio of absorption and conversion on electromagnetic beam but also influence other parameters instabilities. In general, there are three types mechanism of beam selffocusing formation, viz., relativistic, [4] ponderomotive, [5] and collisional, [6] have been identified and many papers on the role of these nonlinearities in the self focusing of the beams have been published [7−8] in the last 40 years.…”
Effect of higher order axial electron temperature on self-focusing of electromagnetic pulsed beam in collisional plasma is investigated. It is shown that higher order axial electron temperature Tp4 is not trivial than Tp0 and Tp2, which can modify slightly radial redistribution of electron density and increases effective dielectric constant. As a result, on one hand, slightly reduce electromagnetic beam self-focusing in the course of oscillatory convergence, on the other hand, quicken beam divergence in the course of steady divergence, i.e., higher order axial electron temperature Tp4 can decrease the influence of collisional nonlinearity in collisional plasma.
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