Two-dimensional resistive-wall impedance with finite thickness; Its mathematical structures and their physical meanings

Shobuda, Yoshihiro   

Two-dimensional resistive-wall impedance of cylindrical chambers with a finite thickness decreases proportionally to the frequency when the skin depth is greater than the chamber thickness. The phenomenon is typically interpreted that the electro-magnetic fields leak out of the chamber over the frequency range. However, the relation among the resistive-wall impedance, the space charge impedance, and the leakage fields from the chamber is not clear. This study provides a more comprehensive picture of dealing with them simultaneously.