Abstract
A kinetic model based on the Vlasov equation is used to describe the axial drift compression and transverse focusing of an intense ion charge bunch propagating along the axis of a solenoidal focusing field ${\mathbf{B}}^{\mathrm{sol}}(\mathbf{x})$. The space charge and current of the ion charge bunch are assumed to be completely neutralized by the electrons provided by a dense background plasma. In the absence of self-field forces, the Vlasov equation is solved exactly for general initial distribution function ${f}_{b}(\mathbf{x},\mathbf{v},0)$, using the method of characteristics. It is shown that the Vlasov equation possesses a class of exact, dynamically evolving solutions ${f}_{b}({W}_{\ensuremath{\perp}},{W}_{z})$, where ${W}_{\ensuremath{\perp}}$ and ${W}_{z}$ are transverse and longitudinal constants of the motion. Detailed dynamical properties of the charge bunch are calculated during axial compression and transverse focusing for several choices of distribution function ${f}_{b}({W}_{\ensuremath{\perp}},{W}_{z})$.
Highlights
Intense charged particle beams have a wide range of applications ranging from basic research in high energy and nuclear physics, to spallation neutron sources, to heavy-ion-driven high energy density physics and fusion, to nuclear waste transmutation, to mention a few examples [1,2,3,4,5,6,7,8,9]
The space charge and current of the intense ion charge bunch are neutralized by the electrons from a dense background plasma
When the charge bunch enters the plasma with an initial axial velocity tilt, the absence of axial spacecharge force greatly facilitates the axial compression of the charge bunch to a short axial length, and facilitates the transverse focusing of the charge bunch to a small transverse spot size
Summary
Intense charged particle beams have a wide range of applications ranging from basic research in high energy and nuclear physics, to spallation neutron sources, to heavy-ion-driven high energy density physics and fusion, to nuclear waste transmutation, to mention a few examples [1,2,3,4,5,6,7,8,9]. We consider the axial drift compression and transverse focusing of an intense charge bunch made up to positively charged ions for the case where the space charge and current of the charge bunch are completely neutralized by a background plasma. ; Wz that undergo axial drift compression and transverse focusing, and correspondingly have different profiles for number density, line density, longitudinal and transverse pressures, etc This important feature, has been facilitated by the assumption of complete neutralization of the charge and current of the charge bunch by the background plasma. An important motivation for the present paper is its application to the high-intensity ion beams characteristic of ion-beam-driven high energy density physics and fusion Such beams tend to be space-charge dominated (prior to charge and current neutralization), and are characterized by high volume number density and low transverse emittance. The main assumption here is that the background plasma completely charge neutralizes and current neutralizes the charge bunch, and that the selfelectric and self-magnetic fields are treated as negligibly small
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