Drift Compression and Final Focus Options for Heavy Ion Fusion

Qin, Hong ; Davidson, Ronald C. ; Barnard, John J. ; Lee, Edward P.

Princeton University. Plasma Physics Laboratory.

关键词: Compression;    Symmetry Groups Beam Compression;    Self-Similar Symmetry;    Inertial Confinement Fusion;    Boltzmann-Vlasov Equation;   

DOI  :  10.2172/836936
RP-ID  :  PPPL-4053
RP-ID  :  AC02-76CH03073
RP-ID  :  836936

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来源: UNT Digital Library

【 摘 要 】

A drift compression and final focus lattice for heavy ion beams should focus the entire beam pulse onto the same focal spot on the target. We show that this requirement implies that the drift compression design needs to satisfy a self-similar symmetry condition. For un-neutralized beams, the Lie symmetry group analysis is applied to the warm-fluid model to systematically derive the self-similar drift compression solutions. For neutralized beams, the 1-D Vlasov equation is solved explicitly, and families of self-similar drift compression solutions are constructed. To compensate for the deviation from the self-similar symmetry condition due to the transverse emittance, four time-dependent magnets are introduced in the upstream of the drift compression such that the entire beam pulse can be focused onto the same focal spot.