The nonlinear interaction of an ultra-short intense frequency-chirped laser pulse with an underdense plasma is studied. The effects of plasma inhomogeneity and laser parameters such as chirp, pulse duration, and intensity on plasma density and wakefield evolutions, and electron acceleration are examined. It is found that a properly chirped laser pulse could induce a stronger laser wakefield in an inhomogeneous plasma and result in higher electron acceleration energy. It is also shown that the wakefield amplitude is enhanced by increasing the slope of density in the inhomogeneous plasma.
The propagation of surface waves on a semi-bounded quantum plasma in the presence of the external magnetic field and collisional effects is investigated by using quantum magnetohydrodynamics model. A general analytical expression for the dispersion relation of surface waves is obtained by considering the boundary conditions. It is shown that, in some special cases, the obtained dispersion relation reduces to the results reported in previous works. It is also indicated that the quantum, external magnetic field and collisional effects can facilitate the propagation of surface waves on a semi-bounded plasma. In addition, it is found that the growth rate of the surface wave instability is enhanced by increasing the collision frequency and plasmonic parameter.
The propagation of surface waves on a semi-bounded quantum plasma is investigated taking into account the collisional effects. The quantum hydrodynamic model includes Bohm's quantum force, Fermi-Dirac statistical, and collisional corrections are used to derive the dispersion relation of these waves. It is shown that the collisions play a significant role on the decay of surface wave amplitude. Furthermore, the surface waves can be unstable in the presence of collisional effects. It is also indicated that the growth rate of the surface wave instability increases with the increase of collisional and quantum effects, especially in the high wavenumber region. V C 2012 American Institute of Physics. [http://dx.
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