The quantum plasma lens concept: A preliminary investigation

Abstract

Recently, a theoretical investigation of the collective and nonlocal quantum effects has been carried out within the framework of a quantum approach to the relativistic charged particle beam travelling in a cold, collisionless, strongly magnetized plasma. This has been done taking into account both the plasma wake field excitation and the quantum paraxial approximation. On the basis of this theory, here we carry out a preliminary study of the transverse effects experienced by a cold relativistic beam through a thin plasma slab (plasma lens). In the strongly nonlocal regime, in which the beam experiences a very strong focusing effect, the scheme of plasma lens is reviewed in terms of the wave description provided by the above quantum theory.

Self consistent hydrodynamic description of the plasma wake field excitation induced by a relativistic charged-particle beam in an unmagnetized plasma

“…Such model successfully described the beam's selffocusing and self-pinching equilibria, when the spot size of the beam was larger and smaller than the wavelength of the wake field, respectively. More recently, this approach has been extended to the case of self consistent PWF excitation in a cold magnetised plasma for both long nonlaminar warm relativistic driving beam (quantum-like domain of TWM) [3,4] and relatively cold relativistic quantum driving beam (quantum domain) [5,6]. Similarly, the self-modulation of a relativistic charged-particle beam as thermal matter wave envelope and the possibility of its destabilization was studied in [7] using the quantum-like description provided by the TWM in which the beam dynamics is governed by a Zakharov-type system of equations, comprising a Poissonlike equation for the wake potential and a nonlinear Schrödinger equation governing the spatiotemporal evolution of the thermal matter wave envelope, whose dispersion coefficient is proportional to the beam thermal emittance.…”

The plasma wake field excitation: Recent developments from thermal to quantum regime

“…Therefore, the pair of FSEs has been extended to a spinorial form (Fedele et al 2012a,b;Jovanovic et al 2012). In this way, a quantum approach to relativistically charged particle beams, named the Quantum Wave Model (QWM) (Fedele et al 2013), has been proposed and applied to plasma lens for quantum beams (Tanjia et al 2013). In this approach, similar to TWM, the space charge effects (both capacitive and inductive) are taken into account within the Hartree's mean field approximation.…”

Self-consistent plasma wake field interaction in quantum beam transport

“…In the strictly nonlocal regime, very recent work [11] shows a preliminary investigation to conceive a plasma lens [1,14,15] in quantum regime as a possible application towards focusing of the beam. The analysis has been carried out in the aberration-less approximation.…”

“…FIG.7. Left: Variation of σ as a function of z [in cm] inside the lens with the initial condition of σ(0) = σ0 and σ (0) = 0, as reported in[11]. For a lens of thickness l = 1 mm, it has been found that σ(l) = 9.91 µm and f = 5.55 cm.…”