Injection, Extraction and Matching

TL;DR

This paper introduces fundamental concepts of beam focusing and transport in accelerators, deriving matching conditions for beam quality preservation, and extends the model to plasma accelerators, highlighting similarities and differences with traditional accelerators.

Contribution

It provides a comprehensive theoretical framework for beam dynamics in both traditional and plasma accelerators, including new matching conditions and model extensions.

Findings

Derived matching conditions for beam quality preservation

Extended the beam envelope model to plasma accelerators

Highlighted key differences between traditional and plasma accelerators

Abstract

In this lecture we introduce from basic principles the main concepts of beam focusing and transport in modern accelerators using the beam envelope equationas a convenient mathematical tool. Matching conditions suitable for preserving beam quality are derived from the model for significant beam dynamics regimes. An extension of the model to the case of plasma accelerators is introduced. The understanding of similarities and differences with respect to traditionalaccelerators is also emphasized.