Phys. Rev. ST Accel. Beams 1, 024401 (1998) [7 pages]Longitudinal coupling impedance of a small hole in a coaxial liner near the cutoff frequencies
We recently developed a general analysis for an azimuthally asymmetric rectangular slot in the inner conductor of a coaxial liner, which allowed us to investigate the coupling impedance numerically. In the present paper we obtain analytic expressions for a small hole of arbitrary shape. Specifically, we go beyond the quasistatic (Bethe) approximation to explore and understand the structure of the impedance in the frequency region near the cutoffs of the inner beam pipe and outer coaxial structure. Finally, we extend our analytic analysis to a hole in a wall of finite thickness. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.1.024401
DOI:
10.1103/PhysRevSTAB.1.024401
PACS:
29.27.Bd, 41.20.-q
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