Multiscale Analysis of Rms Envelope Dynamics
نویسندگان
چکیده
We present applications of variational – wavelet approach to different forms of nonlinear (rational) rms envelope equations. We have the representation for beam bunch oscillations as a multiresolution (multiscales) expansion in the base of compactly supported wavelet bases.
منابع مشابه
Local Analysis of Nonlinear Rms Envelope Dynamics
We present applications of variational – wavelet approach to nonlinear (rational) rms envelope dynamics. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.
متن کامل1 3 A ug 2 00 0 LOCAL ANALYSIS OF NONLINEAR RMS ENVELOPE DYNAMICS
We present applications of variational – wavelet approach to nonlinear (rational) rms envelope dynamics. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.
متن کاملDynamics of Macro–Nano Mechanical Systems; Fixed Interfacial Multiscale Method
The continuum based approaches don’t provide the correct physics in atomic scales. On the other hand, the molecular based approaches are limited by the length and simulated process time. As an attractive alternative, this paper proposes the Fixed Interfacial Multiscale Method (FIMM) for computationally and mathematically efficient modeling of solid structures. The approach is applicable to mult...
متن کاملOptimum Operation of Split Rf Photoinjectors
We. describe how to achieve minimum transverse emittance in RF photoinjectors by applying theoretical predictions from a fully analytical model of beam dynamics in a split injector. This device consists of a short two cell (full+partial) RF gun followed by a drift and a booster RF linac. Matching the beam in the booster to the invariant envelope, an equilibrium mode of laminar beam flow, is sho...
متن کاملMultiscale Models for Cumulus Cloud Dynamics
Cumulus clouds involve processes on a vast range of scales—including cloud droplets, turbulent mixing, and updrafts and downdrafts—and it is often difficult to determine how processes on different scales interact with each other. In this article, several multiscale asymptotic models are derived for cumulus cloud dynamics in order to (i) provide a systematic scale analysis on each scale and (ii)...
متن کامل