Particle-beam approach to collective instabilities -- application to space-charge dominated beams

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Nonlinear dynamics deals with parametric resonances and di#11;usion. The phenomena are usually beam-intensity independent and rely on a particle Hamiltonian. Collective instabilities deal with beam coherent motion, where the Vlasov equation is frequently used in conjunction with a beam-intensity dependent Hamiltonian. We ad- dress the questions: Are the two descriptions the same? Are collective instabilities the results of encountering parametric resonances whose driving force is intensity depen- dent? We study here the example of a space-charge dominated beam governed by the Kapchinskij-Vladimirskij (K-V) envelope equation [1]. The stability and instability regions as functions of tune depression and envelope mismatch are ... continued below

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Lee, K.Y. Ng and S.Y. November 1, 1998.

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Nonlinear dynamics deals with parametric resonances and di#11;usion. The phenomena are usually beam-intensity independent and rely on a particle Hamiltonian. Collective instabilities deal with beam coherent motion, where the Vlasov equation is frequently used in conjunction with a beam-intensity dependent Hamiltonian. We ad- dress the questions: Are the two descriptions the same? Are collective instabilities the results of encountering parametric resonances whose driving force is intensity depen- dent? We study here the example of a space-charge dominated beam governed by the Kapchinskij-Vladimirskij (K-V) envelope equation [1]. The stability and instability regions as functions of tune depression and envelope mismatch are compared in the two approaches. The study has been restricted to the simple example of a uniformly focusing channel.

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  • 16th Advanced ICFA Beam Dynamics Workshop on Nonlinear and Collective Phenomena in Beam Physics, Arcidosso, Italy, September 1-5, 1998

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  • Other: DE00002061
  • Report No.: FERMILAB-Conf-98/344
  • Grant Number: NONE
  • Office of Scientific & Technical Information Report Number: 2061
  • Archival Resource Key: ark:/67531/metadc672214

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  • November 1, 1998

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  • June 29, 2015, 9:42 p.m.

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  • April 18, 2016, 3:25 p.m.

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Lee, K.Y. Ng and S.Y. Particle-beam approach to collective instabilities -- application to space-charge dominated beams, article, November 1, 1998; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc672214/: accessed December 12, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.