On the coupling impedance for particles with opposite velocities

  • D. Davino
  • G. Dôme
  • L. Verolino
Theoretical Physics


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.


Particle Velocity Vacuum Chamber Simple Formula Negative Direction General Shape 
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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2003

Authors and Affiliations

  • D. Davino
    • 1
  • G. Dôme
    • 2
  • L. Verolino
    • 3
  1. 1.Università degli Studi del Sannio, Dipartimento di Ingegneria, Piazza Roma, 82100 Benevento, Italy IT
  2. 2. Retired from CERN, 1211 Geneva 23, Switzerland CH
  3. 3. Università Federico II di Napoli, Dipartimento di Ingegneria Elettrica, via Claudio 21, 80125 Napoli, Italy IT

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