Impedance of Small-Angle Collimators in High-Frequency Limit
- SLAC
We consider round an rectangular-aperture tapered collimators with a small taper angle {alpha}. Depending on the angle, aperture, and the frequency different parameter regimes are found with specific scalings of the impedance. The physical mechanism involved in formation of the beam wake field is discussed. Analytical formulas are derived for the limiting case of the diffraction regime for round collimators. For rectangular geometry with a large width to height ratio, two new regimes--diffraction and intermediate--are found and the impedance is calculated for each regime. In addition to consideration based on solution of Maxwell's equations, a simple recipe is given for calculation of the impedance in the diffraction regime for both round and rectangular geometries.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 784937
- Report Number(s):
- SLAC-PUB-8857
- Country of Publication:
- United States
- Language:
- English
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