Il Nuovo Cimento B (1971-1996)

, Volume 111, Issue 9, pp 1041–1049 | Cite as

The Cherenkov effect for non-rotating extended charges

  • M. Villavicencio
  • J. A. E. Roa-Neri
  • J. L. Jimenez


In this work we analyse the Cherenkov effect for non-rotating extended charges. We obtain the energy radiated per unit path length per unit frequency by the charge facing the Cherenkov effect as a radiation reaction problem. The underlying idea is to consider that the power radiated by the charge is equal to the work done by the radiation reaction force. Our results are equal to those obtained using other methods (seeBuskirk F. R. andNeighbours J. R.,Phys. Rev.,28 (1983) 1531;Smith G. S.,Am. J. Phys.,61 (1993) 147;Jackson J. D.,Classical Electrodynamics (Wiley, New York, N.Y.) 1962, pp. 494–499, 783). In the limit of point particle we recover the usual results of the Cherenkov effect.


03.50.De Maxwell theory: general mathematical aspects 


41.20.Bt Maxwell equations time-varying fields conservation laws 


41.60 Radiation by moving charges 


41.60.Bq Cherenkov radiation 


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Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • M. Villavicencio
    • 1
    • 2
  • J. A. E. Roa-Neri
    • 1
    • 2
  • J. L. Jimenez
    • 3
    • 2
  1. 1.Departamento de Física, Facultad de CienciasUniversidad National Autónoma de MéxicoMéxico D. F.
  2. 2.Area de Física, División de Ciencias Básicas e IngenieríaUniversidad Autónoma Metropolitana-AzcapotzalcoMéxico
  3. 3.Departamento de Física, División de Ciencias Básicas e IngenieríaUniversidad Autónoma Metropolitana-IztapalapaMéxico D. F.

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