There are several variant definitions for the terms shunt impedance and acceleration voltage relating to transit time dependence.[1][2] To clear this point, this page differentiates between effective (including transit time factor) and time-independent quantities.
In accelerator physics, the term acceleration voltage means the effective voltage surpassed by a charged particle along a defined straight line. If not specified further, the term is likely to refer to the longitudinal effective acceleration voltage.
The acceleration voltage is an important quantity for the design of microwave cavities for particle accelerators. See also shunt impedance.
For the special case of an electrostatic field that is surpassed by a particle, the acceleration voltage is directly given by integrating the electric field along its path. The following considerations are generalized for time-dependent fields.
^Lee, Shyh-Yuan (2004). Accelerator physics (2nd ed.). World Scientific. ISBN 978-981-256-200-5.
^Wangler, Thomas (2008). RF Linear Accelerators (2nd ed.). Wiley-VCH. ISBN 978-3-527-62343-3. (slightly different notation)
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