High-frequency limit of the longitudinal impedance of an array of cavities
Journal Article
·
· Physical Review D
OSTI ID:802121
The longitudinal impedance of an array of cylindrically symmetric cavities connected by side pipes is estimated in the high-frequency limit. The expression for the impedance is obtained for an arbitrary number of cavities. The transition from the case of a single cavity to a periodic structure is studied. The impedance per cell decreases with frequency omega as omega {sup -1/2} for a small number of cells. For a large number of cells the impedance decreases as omega {sup -1/2} or as omega {sup -3/2} depending on a certain relation between the frequency and the number of cells. The parameter which governs the transition from one regime to the other is found. In particular, for the infinite periodic structure there is only the second regime and the impedance decreases as omega {sup -3/2} for all frequencies.
- Research Organization:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 802121
- Report Number(s):
- CEBAF-PR-88-29; DOE/ER/40150-2234
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Vol. 39
- Country of Publication:
- United States
- Language:
- English
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