Inhomogeneous Travelling-Wave Accelerating Sections and WKB Approach

TL;DR

This paper explores using the WKB approach to model inhomogeneous travelling-wave accelerating sections, simplifying calculations and aiding in understanding transient effects on beam parameters.

Contribution

It introduces the application of the WKB method to ITWAS, providing a simpler modeling approach for transient processes in accelerator sections.

Findings

WKB approach effectively describes ITWAS transients.

Simplifies the calculation of inhomogeneous sections.

Facilitates development of mitigation methods for transient effects.

Abstract

The paper presents the results of a study of the possibility of using the WKB approach to describe Inhomogeneous Travelling-Wave Accelerating Sections (ITWAS). This possibility not only simplifies the calculation, but also allows the use of simpler physical models of transient processes. Using the traveling wave concept simplifies the understanding of pulsed-excited ITWAS transients and the development of methods to mitigate their effect on beam parameters.