Centroid and Envelope Dynamics of High-intensity Charged Particle Beams in an External Focusing Lattice and Oscillating Wobbler

Centroid and envelope dynamics of charged particle beams in an oscillating wobbler and external focusing lattice for heavy ion fusion applications

“…In this section, we show that such a self-consistent kinetic solution indeed exists, and it is similar to the KV solution in phase-space structure (Qin et al, 2010). Since for the later case there is a corresponding self-consistent KV solution of the nonlinear Vlasov-Maxwell equations, this similarity suggests that a self-consistent solution of the nonlinear Vlasov-Maxwell equations similar to the KV solution may exist for high-intensity beams including the centroid dynamics in a wobbler field and an external focusing lattice.…”

“…(42), (40), and (41), and the centroid dynamics is determined from Eqs. (Qin et al, 2010). The deflection force imposed by the wobbler fields acts only on the centroid, and the self-consistent space-charge field only affects the envelope motion.…”

“…With the newly envisioned shock ignition method, it may be possible that an energy gain of 1000 could be achieved using 1.5 MJ heavy ion direct drive (Logan, 2011). It has been proposed recently that the dynamics of the beam centroid can be explored as a possible beam smoothing technique (Hoffmann, 2009;Logan et al, 2008;Qin et al, 2010;Sharkov, 2007;Tahir et al, 2001Tahir et al, , 2010 to achieve a uniform illumination over a suitably chosen region of the target. It has been proposed recently that the dynamics of the beam centroid can be explored as a possible beam smoothing technique (Hoffmann, 2009;Logan et al, 2008;Qin et al, 2010;Sharkov, 2007;Tahir et al, 2001Tahir et al, , 2010 to achieve a uniform illumination over a suitably chosen region of the target.…”

Evolution of a Relativistic Electron Beam for Tracing Magnetospheric Field Lines

“…This analysis includes the effects of finite mini-pulse size, finite pulse length, emittance, energy spread, beam self-forces and magnetic field geometry. Without loss of generality, we can continue to decouple the evolution of the beam centroid motion from that of the beam envelope (Qin et al, 2010(Qin et al, , 2011Chung and Qin, 2018). We thus proceed by considering the evolution of the beam centroid and the gyro-phase spread due to energy spread.…”

Centroid and Envelope Eynamics of Charged Particle Beams in an Oscillating Wobbler and External Focusing Lattice for Heavy Ion Fusion Applications

“…To realize these advanced, high-gain heavy ion fusion schemes based on direct drive, it is important to develop a reliable beam smoothing technique to mitigate instabilities and facilitate uniform deposition. It has been proposed recently that the dynamics of the beam centroid can be explored as a possible beam smoothing technique (Hoffmann, 2009;Logan et al, 2008;Qin et al, 2010;Sharkov, 2007;Tahir et al, 2001Tahir et al, , 2010 to achieve a uniform illumination over a suitably chosen region of the target. The basic idea of this technique is to induce an oscillatory motion of the centroid for each transverse slice of the beam in such a way that the centroids of different slices strike different locations on the target.…”