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Transfer Matrix for combined RF and Solenoid Fields

2011/07/18 by Colwyn Gulliford, Gulliford, Colwyn, Ivan Bazarov +1
Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Particle Accelerators and Free-Electron Lasers #physics.acc-ph

paper · pdf · doi:10.48550/arxiv.1107.3478

openalex publication_date 2011/07/18 · arxiv created 2011/07/20 · arxiv updated 2011/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new method for computing the transverse transfer matrix through superimposed axisymmetric RF and solenoid field maps. The algorithm constructs the transfer matrix directly from one dimensional RF and solenoid field maps without computing numerical derivatives or eigenfunction expansions of the field map data. In addition, this method accurately describes the dynamics of low energy particles starting from a solenoid immersed cathode, allowing the method to be used to simulate transport through both RF and electrostatic guns. Comparison of particle tracking with the transfer matrix and direct integration of the equations of motion through several field set-ups shows excellent agreement between the two methods.

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