Abstract
The plasma equilibrium is analyzed for propagation in the ion-focused regime, of a high-current relativistic electron beam through a radially infinite, collisionless plasma. Beam current variation is assumed adiabatic over an electron plasma period and ion motion is neglected. The magnetohydrodynamic equations are reduced to a nonlinear ordinary differential equation describing the plasma return current sheath and solutions are characterized by the Budker parameter, with length scale set by the plasma skin depth.
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