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Description of electromagnetic fields in inhomogeneous accelerating sections. I Field representation

2024/09/09 by M. I. Ayzatsky, Ayzatsky, M. I.
Engineering · #Accelerator Physics (physics.acc-ph) #Classical Physics (physics.class-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.2409.13722

openalex publication_date 2024/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we present the results of a study of the possibility of using a homogeneous basis and a new generalization of coupled modes theory to describe inhomogeneous accelerating sections. It was shown that the single mode representation describes the electromagnetic fields with small errors in the regular part of the section. In the couplers the accuracy is worse, but it is small enough to be used in calculations. Solving the equations of generalized coupled modes theory requires calculating the derivatives of the fields with respect to various geometrical parameters. Procedures for calculating these derivatives have been developed.

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