Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics

Details Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics

1999-04-21

arxiv.org/abs/physics/9904041v1

Physics

Accelerator Physics

LaTeX2e, 2 figures, pac99.cls, Proceedings PAC99

Scientific paper

In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part, assuming a sinusoidal field variation, we consider the analytical treatment of the effects of insertion devices on beam dynamics. We investigate via wavelet approach a dynamical model which has polynomial nonlinearities and variable coefficients. We construct the corresponding wavelet representation. As examples we consider wigglers and undulator magnets. We consider the further modification of our variational approach which may be applied in each scale.

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