Abstract.
As already shown by several authors, the reciprocity theorem can be rewritten as a simple formula connecting the longitudinal coupling impedances of a particle travelling in the positive and negative directions of an infinitely long vacuum chamber crossing a scattering structure (cavity, step junction, iris, etc.) of general shape. The formula is valid for any particle velocity. As an example, we consider the case of two semi-infinite circular vacuum chambers with different radii; for this case we give the explicit difference between the coupling impedances and the wake potentials.
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Received: 27 March 2002 / Revised version: 5 December 2002 / Published online: 26 February 2003
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Davino, D., Dôme, G. & Verolino, L. On the coupling impedance for particles with opposite velocities. Eur. Phys. J. C 27, 609–621 (2003). https://doi.org/10.1140/epjc/s2002-01126-x
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DOI: https://doi.org/10.1140/epjc/s2002-01126-x