Derivation of Microwave Instability Dispersion Relation with Account of Synchrotron Damping and Quantum Fluctuations | Zendy

Gennady Stupakov | Zendy

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Derivation of Microwave Instability Dispersion Relation with Account of Synchrotron Damping and Quantum Fluctuations

Author(s) -

Gennady Stupakov

Publication year - 2001

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/784901

Subject(s) - instability , dispersion relation , physics , beam (structure) , microwave , dispersion (optics) , wavelength , quantum electrodynamics , quantum , synchrotron radiation , synchrotron , classical mechanics , quantum mechanics , optics

A dispersion relation for a microwave instability of a coasting beam is derived from the Vlasov-Fokker-Plank equation which takes into account the effects of synchrotron damping and quantum fluctuations. This derivation generalizes the standard analysis of the beam stability in which the discussion and damping are usually neglected. Our results are also applicable for a bunched beam when the wavelength of the instability is much smaller than the bunch length.

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