Synchrotron radiation representation in phase space
arXiv:1112.4047 · doi:10.1103/PhysRevSTAB.15.050703
Abstract
The notion of brightness is efficiently conveyed in geometric optics as density of rays in phase space. Wigner has introduced his famous distribution in quantum mechanics as a quasi-probability density of a quantum system in phase space. Naturally, the same formalism can be used to represent light including all the wave phenomena. It provides a natural framework for radiation propagation and optics matching by transferring the familiar `baggage' of accelerator physics (beta-function, emittance, phase space transforms, etc.) to synchrotron radiation. This paper details many of the properties of the Wigner distribution and provides examples of how its use enables physically insightful description of partially coherent synchrotron radiation in phase space.
References in corpus (1)
Cited by in corpus (14)
- Noninteracting fermions in a trap and random matrix theory
- Demonstration of Cathode Emittance Dominated High Bunch Charge Beams in a DC gun-based Photoinjector
- Wigner function of noninteracting trapped fermions
- The Role of Low Intrinsic Emittance in Modern Photoinjector Brightness
- Dirac open quantum system dynamics: formulations and simulations
- Pseudo-differential representation of the metaplectic transform and its application to fast algorithms
- Effects of energy spread on Brightness and Coherence of undulator sources
- Wigner function for noninteracting fermions in hard wall potentials
- A fast and light tool for partially-coherent beamline simulations in fourth generation storage rings based on coherent mode decomposition
- Propagation of partially coherent radiation using Wigner functions
- Point-to-Point Coulomb Effects in High Brightness Photoelectron Beamlines for Ultrafast Electron Diffraction
- Coherent superposition of orthogonal modes
- The information geometry of 2-field functional integrals
- In Wigner phase space, convolution explains why the vacuum majorizes mixtures of Fock states