Intense nonneutral beam propagation in a periodic solenoidal field using a macroscopic fluid model with zero thermal emittance

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A macroscopic fluid model is developed to describe the nonlinear dynamics and collective processes in an intense high-current beam propagating in the z-direction through a periodic focusing solenoidal field B{sub z}(z + S) = B{sub z}(z), where S is the axial periodicity length. The analysis assumes that space-charge effects dominate the effects of thermal beam emittance, Kr{sub b}{sup 2} {much_gt} {epsilon}{sub th}{sup 2}, and is based on the macroscopic moment-Maxwell equations, truncated by neglecting the pressure tensor and higher-order moments. Assuming a thin beam with r{sub b} {much_lt} S, azimuthally symmetric beam equilibria with {partial_derivative}/{partial_derivative}t = 0 = {partial_derivative}/{partial_derivative}{theta} are ... continued below

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23 p.

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Davidson, R. C.; Stoltz, P. & Chen, C. August 1, 1997.

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  • Davidson, R. C.
  • Stoltz, P. Princeton Univ., NJ (United States). Princeton Plasma Physics Lab.
  • Chen, C. Massachusetts Inst. of Tech., Cambridge, MA (United States). Plasma Science and Fusion Center

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Description

A macroscopic fluid model is developed to describe the nonlinear dynamics and collective processes in an intense high-current beam propagating in the z-direction through a periodic focusing solenoidal field B{sub z}(z + S) = B{sub z}(z), where S is the axial periodicity length. The analysis assumes that space-charge effects dominate the effects of thermal beam emittance, Kr{sub b}{sup 2} {much_gt} {epsilon}{sub th}{sup 2}, and is based on the macroscopic moment-Maxwell equations, truncated by neglecting the pressure tensor and higher-order moments. Assuming a thin beam with r{sub b} {much_lt} S, azimuthally symmetric beam equilibria with {partial_derivative}/{partial_derivative}t = 0 = {partial_derivative}/{partial_derivative}{theta} are investigated. To illustrate the considerable flexibility of the macroscopic formalism, assuming (nearly) uniform axial flow velocity V{sub b} over the beam cross section, beam equilibrium properties are calculated for two examples: (a) uniform radial density profile over the interval 0 {le} r < r{sub b}(z), and (b) an infinitesimally thin annular beam centered at r = r{sub b}(z). The analysis generally allows for the azimuthal flow velocity V{sub {theta}b}(r,z) to differ from the Larmor frequency, and the model is used to calculate the (leading-order) correction {delta}V{sub zb}(r,z) to the axial flow velocity for the step-function density profile in case (a) above.

Physical Description

23 p.

Notes

Also available from the following url: http://www.pppl.gov. See PPPL reports section for full text.; OSTI as DE98050119

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  • Other Information: PBD: Aug 1997

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  • Other: DE98050119
  • Report No.: PPPL--3254
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/304187 | External Link
  • Office of Scientific & Technical Information Report Number: 304187
  • Archival Resource Key: ark:/67531/metadc684231

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  • August 1, 1997

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Aug. 3, 2016, 9:25 p.m.

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Davidson, R. C.; Stoltz, P. & Chen, C. Intense nonneutral beam propagation in a periodic solenoidal field using a macroscopic fluid model with zero thermal emittance, report, August 1, 1997; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc684231/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.