Self-trapped laser beams in plasma

Abstract

A moment theory for the nonlinear quasi-optical equation with saturation is applied to self-trapped laser beams in plasma for the ponderomotive nonlinearity. The results differ quantitatively from those obtained form the paraxial ray theory but do agree qualitatively in that there is a minimum beam radius of order c/ωp, a threshold ’’critical’’ power, no upper limit to the power that can be transmitted, and the self-trapped beams are stable.

Comparison of Two Theories for the Relativistic Self Focusing of Laser Beams in Plasma

“…However, the moment theory approach [16] does not suffer from this defect. This theory has also been used to study the equilibrium beam radius of a self-trapped gaussian beam in case of a ponderomotive nonlinearity [17]. In the present paper, the self-focusing of laser beams in relativistic plasmas is therefore studied by following both theories viz.…”

A Note on The Inhomogeneous Nonlinear Heat Equation in Two Space Dimensions

“…In two space dimensions, the semilinear monomial heat problem [(1.1) with μ = 0 and f (u) = u|u| p−1 ] is energy subcritical for all p > 1. So it is natural to consider an exponential nonlinearity, which have several applications, as for example the self-trapped beams in plasma [9]. Moreover, the two-dimensional case is interesting because of its relation to the critical Moser-Trudinger inequalities [1,15].…”

{open_quotes}Heavy light bullets{close_quotes} in electron-positron plasma

“…However, general dynamical properties of nonstationary solutions are rather complex, making analytical approximations highly desirable. To describe the dynamics of the localized solutions of the NSE, various approximation schemes like the paraxial ray theory [MI, the moment theory [19], and the variational approach [ZO], have been devised.…”