Synchrotron radiation representation in phase space

TL;DR

This paper explores the use of Wigner distribution in phase space to represent synchrotron radiation, offering a comprehensive framework that captures wave phenomena and aids in understanding radiation propagation and optics matching.

Contribution

It introduces the application of Wigner distribution to synchrotron radiation, bridging concepts from quantum mechanics and accelerator physics for improved phase space analysis.

Findings

Wigner distribution effectively describes partially coherent synchrotron radiation.

Phase space representation enhances understanding of radiation propagation.

The formalism links wave phenomena with classical optics concepts.

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.