The limiting current in a one-dimensional situation: Transition from a space charge limited to magnetically limited flow
For a nonrelativistic electron beam propagating in a cylindrical drift tube, it is shown that the limiting current density does not saturate to the electrostatic one-dimensional (1D) estimate with inc...
For a nonrelativistic electron beam propagating in a cylindrical drift tube, it is shown that the limiting current density does not saturate to the electrostatic one-dimensional (1D) estimate with inc...
Characterization of a multi-keV x-ray source produced by nanosecond laser irradiation of a solid target: The influence of laser focus spot and target thickness
The influence of focus spot and target thickness on multi-keV x-ray sources generated by 2 ns duration laser heated solid targets are investigated on the Shenguang II laser facility. In the...
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Adiabatic thermal equilibrium theory for periodically focused axisymmetric intense beam propagation
Phys. Plasmas 15, 023102 (2008); doi:10.1063/1.2837891
Published 7 February 2008
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An adiabatic equilibrium theory is presented for an intense, axisymmetric charged-particle beam propagating through a periodic solenoidal focusing field. The thermal beam distribution function is constructed based on the approximate and exact invariants of motion, i.e., a scaled transverse Hamiltonian and the angular momentum. The approximation of the scaled transverse Hamiltonian as an invariant of motion is validated analytically for highly emittance-dominated beams and highly space-charge-dominated beams, and numerically tested to be valid for cases in between with moderate vacuum phase advances (
v<90°). The beam root-mean-square (rms) envelope equation is derived, and the self-consistent nonuniform density profile is determined. Other statistical properties such as flow velocity, temperature, total emittance and rms thermal emittance, equation of state, and Debye length are discussed. Numerical examples are presented, illustrating the effects of the beam perveance, emittance, and rotation on the beam envelope and density distribution. Good agreement is found between theory and a recent high-intensity beam experiment performed at the University of Maryland Electron Ring [S. Bernal, B. Quinn, M. Reiser, and P. G. O'Shea, Phys. Rev. ST Accel. Beams 5, 064202 (2002)].
©2008 American Institute of Physics
v<90°). The beam root-mean-square (rms) envelope equation is derived, and the self-consistent nonuniform density profile is determined. Other statistical properties such as flow velocity, temperature, total emittance and rms thermal emittance, equation of state, and Debye length are discussed. Numerical examples are presented, illustrating the effects of the beam perveance, emittance, and rotation on the beam envelope and density distribution. Good agreement is found between theory and a recent high-intensity beam experiment performed at the University of Maryland Electron Ring [S. Bernal, B. Quinn, M. Reiser, and P. G. O'Shea, Phys. Rev. ST Accel. Beams 5, 064202 (2002)].
©2008 American Institute of Physics
| History: | Received 22 August 2007; accepted 7 January 2008; published 7 February 2008 |
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http://link.aip.org/link/?PHPAEN/15/023102/1 |
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REFERENCES (14)
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