Analytical approach to the design of RF photoinjector

TL;DR

This paper develops an analytical and computational framework to design RF photoinjectors, addressing challenges in cavity dimensions and electromagnetic field behavior for efficient beam acceleration.

Contribution

It introduces a combined analytical and computational approach, including perturbation theory and equivalent circuit modeling, for designing multi-celled RF photoinjectors.

Findings

Analytical methods help determine cavity dimensions accurately.

Equivalent circuit models elucidate electromagnetic oscillations.

The approach improves design precision over purely numerical simulations.

Abstract

The objective of this thesis is to ascertain the dimensions of an RF 2.856GHz photoinjector through a combination of analytical and computational approaches. The phase velocity within a single cavity exceeds 'c', rendering it inadequate for storing the requisite energy for beam acceleration. To surmount this limitation, we aim to devise a multi-celled cavity design. However, the alterations in electromagnetic fields and resonant frequency within the multi-celled cavity are intricate and sensitive, presenting challenges in obtaining precise dimensions solely via computer simulations. Prior to numerical methods, it is essential to analyze the photoinjector using theoretical frameworks. We employ perturbation theory and the construction of an equivalent circuit to elucidate the underlying physics of the photoinjector and the electrical oscillations within the cell structure. Detailed analytical methods for the equivalent circuit are explored. Through theoretical analysis, the dimensions and simulation outcomes can be determined quantitatively.