Application of transfer matrix and transfer function analysis to grating-type dielectric laser accelerators: ponderomotive focusing of electrons

Abstract

The question of suitability of transfer matrix description of electrons traversing grating-type dielectric laser acceleration (DLA) structures is addressed. It is shown that although matrix considerations lead to interesting insights, the basic transfer properties of DLA cells cannot be described by a matrix. A more general notion of a transfer function is shown to be a simple and useful tool for formulating problems of particle dynamics in DLA. As an example, a focusing structure is proposed which works simultaneously for all electron phases.

Changes from version 1: The substantial change is the addition of Appendices C and D. Other changes: a couple of error corrections and clarifications throughout the manuscript

References in corpus (4)

• Dielectric Laser Acceleration
• Laser-based acceleration of non-relativistic electrons at a dielectric structure
• Beam by design: laser manipulation of electrons in modern accelerators
• Dielectric laser acceleration of electrons in the vicinity of single and double grating structures - theory and simulations

Cited by in corpus (2)

• Beam Dynamics in Dielectric Laser Acceleration
• Electron dynamics in grating-type dielectric laser accelerators: particle transfer function, generalized acceleration/deflection gradients and Panofsky-Wenzel theorem