Quasiclassical Calculations of Wigner Functions in Nonlinear Beam Dynamics

Quasiclassical Calculations for Wigner Functions via Multiresolution

We present the application of variational-wavelet analysis to numerical/analytical calculations of Wigner functions in (nonlinear) quasiclassical beam dynamics problems. (Naive) deformation quantization and multiresolution representations are the key points.

Quasiclassical Calculations in Beam Dynamics

We present some applications of general harmonic/wavelet analysis approach (generalized coherent states, wavelet packets) to numerical/analytical calculations in (nonlinear) quasiclassical/quantum beam dynamics problems. (Naive) deformation quantization, multiresolution representations and Wigner transform are the key points.

V. The Semiclassical Foldy-Wouthuysen Transformation and the Derivation of the Bloch Equation for Spin-1/2 Polarised Beams Using Wigner Functions

A semiclassical Foldy--Wouthuysen transformation of the Dirac equation is used to obtain the radiationless Bloch equation for the polarisation density.

高斯维格纳函数通过矩阵孔径束线的传播

Propagation of a Gaussian Wigner Function Through a Matrix-Aperture Beamline

本文研究高斯维格纳函数在含硬边孔径的矩阵孔径束线中的传播问题，提出高斯孔径概念并构造远场维格纳函数的高斯近似方法，为同步辐射和X射线自由电子激光束线提供包络模型基础。

Propagation of partially coherent radiation using Wigner functions

Undulator radiation from synchrotron light sources must be transported down a beamline from the source to the sample. A partially coherent photon beam may be represented in phase space using a Wigner function, and its transport may use some similar techniques as is familiar in particle beam transport. We describe this process in the case that the beamline is composed of linear focusing and defocusing sections as well as apertures. We present a compact representation of the beamline map involving linear transformations and convolutions. We create a 1:1 imaging system (4f system) with a single s…

Evidence of Wigner Rotation Phenomena in the Beam Splitting Experiment at the LCLS

A result from particle tracking states that, after a microbunched electron beam is kicked, its trajectory changes while the orientation of the microbunching wavefront remains as before. Experiments at the LCLS showed that radiation in the kicked direction is produced practically without suppression. This could be explained if the orientation of the microbunching wavefront is readjusted along the kicked direction. In previous papers we showed that when the evolution of the electron beam modulation is treated according to relativistic kinematics, the orientation of the microbunching wavefront in…