Nonlinear propagation and localization of intense electromagnetic waves in relativistic plasmas

Abstract

An analytical formulation is presented for envelope-type solutions of intense polarized electromagnetic waves propagating in cold unmagnetized plasmas. Induced charge separation is fully taken into account and nonlinearities due to mass variation of both electrons and ions are included. Localized solutions are found for the case of subluminous wave phase velocity. The spectrum of solutions (dependence of wave amplitude on the free parameters in the theory, phase velocity and frequency) is discussed and compared with previous analytical and numerical results.

On the interaction of focused electromagnetic beams and space-charge fields in laser-plasma systems

“…(7) and (8) casts itself into the convenient format we were looking for. If the transverse structure is neglected, the set becomes similar to models analyzed in the past (Mofiz & de Angelis, 1985). Under this planar condition, one can think of Eqs.…”

Nonlinear dynamics of electromagnetic pulses in cold relativistic plasmas

“…V could be thus read as a nonlinear group velocity since we shall be working in regimes where ω and k are related by a nonlinear dispersion relation. Manipulation of the governing equations finally takes us to the point where two coupled equations must be integrated -one controlling the vector potential, and the other the electric potential [7,8]:…”

“…Since it can be shown that the electronic density depends on r e in the form n e ∼ r −1 e [7,8], break down of the theory indicates wave breaking on electrons. Also shown in the figure is the wave breaking energy…”

“…Kozlov et al [7] investigate numerically propagation of coupled electromagnetic and electrostatic modes in cold relativistic electron-ion plasmas to conclude that small and large amplitude localized solutions can be present. Mofiz & de Angelis [8] apply analytical approximations to the same model and suggest where and how localized solutions can be obtained. Ensuing, more recent works provide even deeper understanding as various features are investigated, like influence of ion motion in slow, ion accelerating solitons [9], existence of moving solitons [5], existence of trails lagging isolated pulses [10,11] and others.…”

Self-consistent dynamics of electromagnetic pulses and wakefields in laser-plasma interactions

“…(Kozlov et al, 1979;Tajima & Dawson, 1979;Mofiz & de Angelis, 1985;Shukla et al, 1986;Esarey et al, 1998;Farina & Bulanov, 2001;Mendonça, 2001;Poornakala et al, 2002;Bingham, 2003;Joshi & Katsouleas, 2003).…”