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.
Highlights
Several recent proof-of-principle experiments demonstrate the possibility of accelerating electrons in a laserdriven dielectric structure [1,2]. One class of such dielectric laser accelerator (DLA) structures is the grating-type structure, in which a unit cell is iterated in one dimension, as in the recently developed single grating, dual-grating, and dual pillar structures [2]
Interesting questions arise: what are the particle transfer properties of a DLA unit cell, and can they be described by a matrix? This problem has been partially addressed in Ken Soong’s Ph.D. thesis [9], where the transfer matrix of a unit cell of a doublegrating accelerator structure is calculated
Transfer matrices are known to be useful for the description of particle motion through the segments of conventional rf accelerators
Summary
Several recent proof-of-principle experiments demonstrate the possibility of accelerating electrons in a laserdriven dielectric structure [1,2] One class of such dielectric laser accelerator (DLA) structures is the grating-type structure, in which a unit cell is iterated in one dimension, as in the recently developed single grating, dual-grating, and dual pillar structures [2]. This problem has been partially addressed in Ken Soong’s Ph.D. thesis [9], where the transfer matrix of a unit cell of a doublegrating accelerator structure is calculated The purpose of the present work is to pursue further this interesting idea
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