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shunt impedance : ウィキペディア英語版
shunt impedance
In accelerator physics, shunt impedance is a measure of the strength with which an eigenmode of a resonant radio frequency structure (e.g., in a microwave cavity) interacts with charged particles on a given straight line, typically along the axis of rotational symmetry. If not specified further, the term is likely to refer to ''longitudinal effective shunt impedance''.
== Longitudinal shunt impedance ==
To produce longitudinal Coulomb forces which add up to the (longitudinal) acceleration voltage \scriptstyle V_\parallel, an eigenmode of the resonator has to be excited, leading to power dissipation \scriptstyle P. The definition of the longitudinal effective shunt impedance, \scriptstyle R, then reads:〔
:R = \frac
with the longitudinal effective acceleration voltage \scriptstyle |V_\parallel|.
The time-independent shunt impedance, \scriptstyle R_0, with the time-independent acceleration voltage \scriptstyle V_0 is defined:〔
:R_0 = \frac.
One can use the quality factor \scriptstyle Q to substitute \scriptstyle P with an equivalent expression:
:R = Q \frac,
where W is the maximum energy stored. Since the quality factor is the only quantity in the right equation term that depends on wall properties, the quantity \scriptstyle \fracis often used to design cavities, omitting material properties at first (see also cavity geometry factor).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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