Nonlinear beam dynamics studies at Indiana University. Final report, August 1, 1993--July 31, 1997

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During the three-year funding period the author`s achievements can be summarized as follows: (1) The author has systematically studied the effect of phase modulation on bunch distribution. (2) The author has found that a frequently observed proton beam instability when the velocity of cooling electrons differs from that of protons is due to Hopf bifurcation. The equilibrium proton beam distribution becomes a limiting cycle attractor. This technique can be used to measure the temperature of cooling electrons. (3) The author has studied mechanisms of controlled bunch dilution. Evolution of beam bunch profile is measured while the beam is perturbed by ... continued below

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12 p.

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Lee, S.Y. March 31, 1998.

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Description

During the three-year funding period the author`s achievements can be summarized as follows: (1) The author has systematically studied the effect of phase modulation on bunch distribution. (2) The author has found that a frequently observed proton beam instability when the velocity of cooling electrons differs from that of protons is due to Hopf bifurcation. The equilibrium proton beam distribution becomes a limiting cycle attractor. This technique can be used to measure the temperature of cooling electrons. (3) The author has studied mechanisms of controlled bunch dilution. Evolution of beam bunch profile is measured while the beam is perturbed by the modulation of a secondary rf system. The experimental data reveal that mean square bunch length {sigma}{sup 2}(t) exhibits two characteristic time scales. He finds that overlapping parametric resonances plays an important role in beam diffusion. (4) He has studied the effects of global chaos on the halo formation of space charge dominated beams. He has analyzed the halo produced by a modulating mismatched space charge dominated beam in a uniform focusing channel. He found that the halo formation is determined by a single scaling parameter, the space charge perveance parameter divided by the phase advance per unit length. The condition of global chaos can thus be predicted. In June 1994, Indiana University has served as the host of the USPAS (United States Particle Accelerator School). In July 1994, IUCF has also served as the host site of the workshop on the future direction of hadron facilities. In October 1994, the author organized a successful workshop on space charge dominated beams and application of high brightness beams. During this period of this funding, he has had many visitors from SSC, SLAC, Fermilab, and Brookhaven National Laboratory. He has carried out many nonlinear beam dynamics experiments at the IUCF Cooler Ring. He has published about 30 refereed journal papers related to this project. These papers are listed in Sec. 3.

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12 p.

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INIS; OSTI as DE98006367

Medium: P; Size: 12 p.

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  • Other Information: PBD: 31 Mar 1998

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  • Other: DE98006367
  • Report No.: DOE/ER/40801--T1
  • Grant Number: FG02-93ER40801
  • DOI: 10.2172/656788 | External Link
  • Office of Scientific & Technical Information Report Number: 656788
  • Archival Resource Key: ark:/67531/metadc708664

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  • March 31, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 6, 2017, 8:26 p.m.

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Lee, S.Y. Nonlinear beam dynamics studies at Indiana University. Final report, August 1, 1993--July 31, 1997, report, March 31, 1998; United States. (digital.library.unt.edu/ark:/67531/metadc708664/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.