Impedances of Anisotropic Round and Rectangular Chambers

TL;DR

This paper develops numerical algorithms to calculate electromagnetic fields in anisotropic, non-homogeneous vacuum chambers with round or rectangular cross-sections, validated through multiple examples.

Contribution

It introduces new computational methods for electromagnetic field calculation in complex anisotropic chamber geometries, enhancing accuracy and applicability.

Findings

Algorithms successfully implemented in a numerical code

Cross-validated with multiple example cases

Applicable to anisotropic, non-homogeneous chambers

Abstract

We consider the calculation of electromagnetic fields generated by an electron bunch passing through an anisotropic transversally non-homogeneous vacuum chamber of round or rectangular cross-section with translational symmetry in the beam direction. The described algorithms are implemented in a numerical code and cross-checked on several examples.