dorsal/arxiv
View SchemaNonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics
| Authors | Antonina N. Fedorova, Michael G. Zeitlin |
|---|---|
| Categories | |
| ArXiv ID | physics/9904041 |
| URL | https://arxiv.org/abs/physics/9904041 |
Abstract
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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"date_created": "2026-03-02T18:01:24.520000Z",
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"abstract": "In this series of eight papers we present the applications of methods from\nwavelet analysis to polynomial approximations for a number of accelerator\nphysics problems. In this part, assuming a sinusoidal field variation, we\nconsider the analytical treatment of the effects of insertion devices on beam\ndynamics. We investigate via wavelet approach a dynamical model which has\npolynomial nonlinearities and variable coefficients. We construct the\ncorresponding wavelet representation. As examples we consider wigglers and\nundulator magnets. We consider the further modification of our variational\napproach which may be applied in each scale.",
"arxiv_id": "physics/9904041",
"authors": [
"Antonina N. Fedorova",
"Michael G. Zeitlin"
],
"categories": [
"physics.acc-ph",
"chao-dyn",
"math-ph",
"math.MP",
"nlin.CD",
"physics.comp-ph"
],
"title": "Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics",
"url": "https://arxiv.org/abs/physics/9904041"
},
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