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RIS citation export for TUPOB41: Bi-Complex Toolbox Applied to Gyromagnetic Beam Break-Up

AU - Smirnov, A.V.
ED - Schaa, Volker RW
ED - Power, Maria
ED - Shiltsev, Vladimir
ED - White, Marion
TI - Bi-Complex Toolbox Applied to Gyromagnetic Beam Break-Up
J2 - Proc. of NAPAC2016, Chicago, IL, USA, October 9-14, 2016
C1 - Chicago, IL, USA
T2 - North American Particle Accelerator Conference
T3 - 3
LA - english
AB - Transverse instability of a multi-bunch beam in the presence of a longitudinal magnetostatic field and hybrid dipole modes is considered analytically within a single-section model. It incorporates resonant interaction with beam harmonics and eigenmodes, degenerated waves of different polarizations, and the Lorentz RF force contribution. The analysis is performed in a very compact form using a bi-complex i,j-space including four-component collective frequency of the instability. Rotating polarization of the collective field is determined by ImiImj part of the bi-complex collective frequency in agreement with available data. The other three components represent detuning of the collective frequency ReiRej, the left-hand, and right-hand increments ImiRejĀ±ReiImj of the gyro-magnetic BBU effect. The scalar hyper-complex toolbox can be applied to designing of non-ferrite non-reciprocal devices, spin transport, and for characterization of complex transverse dynamics in gyro-devices such as Gyro-TWTs.
CP - Geneva, Switzerland
SP - 585
EP - 587
KW - ion
KW - polarization
KW - dipole
KW - experiment
KW - linac
DA - 2017/01
PY - 2017
SN - 978-3-95450-180-9
DO - 10.18429/JACoW-NAPAC2016-TUPOB41
UR - https://jacow.org/napac2016/papers/tupob41.pdf
ER -