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- W1674276095 abstract "Abstract : A number of high current accelerator designs utilize strong focusing in the form of helical quadrupole and axial guide fields. We obtain a linear dispersion relation for an electron beam propagating in a cylindrical waveguide subject to helical quadrupole and longitudinal magnetic fields, electromagnetic waveguide modes and image fields. The electromagnetic waveguide modes are expressed in terms of right-hand and left-hand circularly polarized waves. We find that the electron beam centroid, depending on the system parameters, can be (1) orbit unstable independent of the waveguide modes, (2) three-wave unstable or (3) fully stable. Analytic expressions for the various stability conditions are obtained in the limit of zero beam current, where the right-hand and left-hand circularly polarized waves decouple. Algebraic expressions for the growth rate in each of the three-wave unstable regimes are presented. The full dispersion relation is solved numerically with results that are in good agreement with both the stability conditions and the growth rate expressions. (kr)" @default.
- W1674276095 created "2016-06-24" @default.
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- W1674276095 date "1990-03-07" @default.
- W1674276095 modified "2023-09-24" @default.
- W1674276095 title "Stability regimes in a rotating quadrupole focusing accelerator" @default.
- W1674276095 hasPublicationYear "1990" @default.
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