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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
Article

Summary

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.

PACS

03.50.De Maxwell theory: general mathematical aspects 

PACS

41.20.Bt Maxwell equations time-varying fields conservation laws 

PACS

41.60 Radiation by moving charges 

PACS

41.60.Bq Cherenkov radiation 

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References

  1. [1]
    Sommerfeld A.,Optics; Lectures on Theoretical Physics, Vol. IV (Academic Press, New York, N.Y.) 1953, pp. 328–336.Google Scholar
  2. [2]
    Landau L. D. andLifshitz E. M.,Electrodynamics of Continuous Media (Addison- Wesley, Reading, Mass.) 1960, pp. 345, 350, 357–359.zbMATHGoogle Scholar
  3. [3]
    Jackson J. D.,Classical Electrodynamics (Wiley, New York, N.Y.) 1962, pp. 494–499, 783.Google Scholar
  4. [4]
    Jackson J. D.,Classical Electrodynamics, 2nd edition (Wiley, New York, N.Y.) 1975, pp. 628–641, 783, 789.zbMATHGoogle Scholar
  5. [5]
    Panofsky W. andPhillips M.,Classical Electricity and Magnetism, 2nd edition (Addison-Wesley, Reading, Mass.) 1962, pp. 373–375, 387–390.zbMATHGoogle Scholar
  6. [6]
    Good R. H. andNelson T. J.,Classical Theory of Electric and Magnetic Fields (Academic, New York, N.Y.) 1971, pp. 314–316, 534–536.Google Scholar
  7. [7]
    Portis A. M.,Electromagnetic Fields Sources and Media (Wiley, New York, N.Y.) 1978, pp. 567–576.Google Scholar
  8. [8]
    Buskirk F. R. andNeighbours J. R.,Phys. Rev.,28 (1983) 1531.ADSCrossRefGoogle Scholar
  9. [9]
    Smith G. S.,Am. J. Phys.,61 (1993) 147.ADSCrossRefGoogle Scholar
  10. [10]
    Motz H. andSchiff L. I.,Am. J. Phys.,21 (1953) 258.ADSCrossRefzbMATHGoogle Scholar
  11. [11]
    Sternheimer R. M.,Phys. Rev.,91 (1953) 256.ADSCrossRefzbMATHGoogle Scholar
  12. [12]
    Balazs N. L.,Phys. Rev.,104 (1956) 1220.ADSCrossRefGoogle Scholar
  13. [13]
    Volkoff G. M.,Am. J. Phys.,31 (1963) 601.ADSCrossRefGoogle Scholar
  14. [14]
    Haus H. A.,Am. J. Phys.,54 (1986) 1126.ADSCrossRefGoogle Scholar
  15. [15]
    Bornatici M. andSpada M.,Am. J. Phys.,57 (1989) 634.ADSCrossRefGoogle Scholar
  16. [16]
    Villavicencio M.,El Efecto Cherenkov como un Problema de Reacción de Radiación, Thesis, Departamento de Física, Facultad de Ciencias, UNAM (1988), unpublished.Google Scholar
  17. [17]
    Roa-Neri J. A., Villavicencio M. andJimenez J. L.,Rev. Mex. Fis.,39 (1993) 314.Google Scholar
  18. [18]
    Allison W. W. M. andCobb R. H.,Ann. Rev. Nucl. Part. Sci.,30 (1980) 253.ADSCrossRefGoogle Scholar
  19. [19]
    Enz C. P. (Editor),Electrodynamics. Pauli Lectures on Physics, Vol.1 (MIT, Cambridge, Mass.) 1973, pp. 146–152.Google Scholar
  20. [20]
    Jimenez J. L. andMontemayor R.,Nuovo Cimento B,75 (1983) 87;Jimenez J. L.,Blanco R. andPesquera L.,J. Phys. A,18 (1985) 1173;Rañada A. F. andRañada M.,J. Phys. A,12 (1979) 1419.MathSciNetADSCrossRefGoogle Scholar

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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