Longitudinal Impedance of Simple Cylindrically Symmetric Structures
نویسنده
چکیده
m ABSTRACT A method derived' for calculation of electromagnetic fields of a point charge moving along an axis of cylindrically symmetric structures is applied here to cavities and collimators with side tubes. The longitudinal impedance for such structures is calculated. In particular, the impedance for a pipe loaded with a thin washer is also calculated. It is shown that for large particle energy and for high frequencies the longitudinal impedance of a collimator can be found analytically and that it is a constant in a broad range of frequencies.
منابع مشابه
Transverse Impedances of Cavities
,).I' (0) (ID)-1 , Fig. 1. Cylindrically symmetric structures considered *'inthe present work: a) a cavity and b) a collimator.- .-:. Wewill briefly describe our method and present some early results. More details will be forthcoming in a future paper.-_ The Current Sources Consider an ultra-relativistic particle of charge Q moving at speed /3c parallel to the z axis of a cylindrically symmetri...
متن کاملHigh-frequency limit of the longitudinal impedance of an array of cavities.
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 the cavities. The transition from the case of a single cavity to a periodic structure is studied. The impedance per cell decreases with frequency w as w e-1/2 for a small number of cel...
متن کاملSimple solutions of relativistic hydrodynamics for cylindrically symmetric systems
Simple, self-similar, analytic solutions of 1 + 3 dimensional relativistic hydrodynamics are presented for cylindrically symmetric fireballs corresponding to central collisions of heavy ions at relativistic bombarding energies.
متن کاملAnalysis of Cylindrically Conformal Microstrip Structures Using an Iterative Method
An efficient iterative method is presented for the fast analysis of cylindrically conformal microstrip structures. Based on the transmission line modeling (TLM) method and the fast modal transform (FMT) theory, this technique accelerates the process of the calculation by introducing the concept of the transverse electromagnetic waves instead of the transverse fields considered in the traditiona...
متن کاملSimple solutions of relativistic hydrodynamics for longitudinally and cylindrically expanding systems
Simple, self-similar, analytic solutions of 1 + 1 dimensional relativistic hydrodynamics are presented, generalizing the Hwa Bjorken boost-invariant solution to inhomogeneous rapidity distributions. These solutions are generalized also to 1 + 3 dimensional, cylindrically symmetric firetubes, corresponding to central collisions of heavy ions at relativistic bombarding energies.
متن کامل