Variational wavelet approach to RMS envelope equations

We present applications of variational-wavelet approach to nonlinear (rational) rms envelope equations. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis. We give extension of our results to the cases of periodic beam motion and arbitrary variable coefficients. Also we consider more flexible variational method which is based on biorthogonal wavelet approach.

Note:

21 pages, 8 figures, LaTeX2e, presented at Second ICFA Advanced Accelerator Workshop, UCLA, November, 1999

References(13)

Figures(8)

Envelope analysis of intense relativistic quasilaminar beams in RF photoinjectors: A Theory of emittance compensation

L. Serafini
(
- INFN, Milan
)
,
J.B. Rosenzweig
(
- UCLA
)

- Phys.Rev.E 55 (1997) 7565-7590
•
DOI:
- 10.1103/PhysRevE.55.7565

- Math.Comput.Simul. 46 527

Nonlinear dynamics of accelerator via wavelet approach

- AIP Conf.Proc. 405 (1997) 1, 87-102
•
e-Print:
- physics/9710035
•
DOI:
- 10.1063/1.53488

Nonlinear accelerator problems via wavelets. 1. Orbital motion in storage rings

- In *New York 1999, Particle Accelerator, vol. 3* 1614-1616
•
e-Print:
- physics/9904039

Nonlinear accelerator problems via wavelets. 2. Orbital dynamics in general multipolar field

•
e-Print:
- physics/9904040

Nonlinear accelerator problems via wavelets. 3. Effects of insertion devices on beam dynamics

•
e-Print:
- physics/9904041

Nonlinear accelerator problems via wavelets. 4. Spin orbital motion

•
e-Print:
- physics/9904042

Nonlinear accelerator problems via wavelets. 5. Maps and discretization via wavelets

•
e-Print:
- physics/9904043

Nonlinear accelerator problems via wavelets. 6. Representations and quasiclassics via FWT

- In *New York 1999, Particle Accelerator, vol. 3* 1617-1619
•
e-Print:
- physics/9904045