Skip to main content

Field in Media in Uniform Translation

  • Chapter
  • 231 Accesses

Part of the book series: Springer Series in Electronics and Photonics ((SSEP,volume 15))

Abstract

Numerous electromechanical devices contain parts which move in an electromagnetic field. The motion is often a translation, as in a linear motor, and it is to a study of ponderable bodies in uniform translation that the present chapter is devoted. We shall, in fact, confine ourselves to infinite media, leaving for Chap.5 a discussion of moving objects of finite extent. Even with this restriction, several interesting applications in physics, astrophysics and electrical engineering arise. Central to the discussion of these applications is the nature of the constitutive equations in a moving medium. Minkowski first discussed this problem. Minkowski, one of Einstein’s teachers in Zürich, followed the early development of relativity with intense interest. A mathematician by education he managed, before his untimely death in 1909, to make fundamental contributions to the young discipline.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. H. Minkowski: Die Grundgleichungen für die elektromagnetischen Vorgange in bewegten Körpern, Göttinger Nachrichten (1908) pp. 53–116

    Google Scholar 

  2. S.R. de Groot, L.G. Suttorp: Covariant derivation of the Maxwell equations, Physica 31, 1713–1727 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  3. S.R. de Groot, L.G. Suttorp: Foundations of Electrodynamics ( North Holland, Amsterdam 1972 ) p. 255

    Google Scholar 

  4. C.T. Tai: A study of electrodynamics of moving media, Proc. IEEE 52, 685–689 (1964)

    Article  MathSciNet  Google Scholar 

  5. D. Censor: Dispersion equations in moving media, Proc. IEEE 68, 528–529 (1980)

    Article  ADS  Google Scholar 

  6. C.T. Tai: Electrodynamics of moving anisotropic media: the first-order theory, Radio Sci. 69D, 401–405 (1965)

    Google Scholar 

  7. I.V. Lindell: On the definiteness of the constitutive parameters of a moving anisotropic medium, Proc. IEEE 60, 638–639 (1972)

    Article  Google Scholar 

  8. W. Pauli: Theory of Relativity ( Pergamon, London 1958 ) p. 101

    MATH  Google Scholar 

  9. V. Ougarov: Théorie de la RelativitéRestreinte ( Mir, Moscow 1969 ) p. 174

    Google Scholar 

  10. A. Sommerfeld: Elektrodynamik ( Dietrich’sche Verlagsb., Wiesbaden 1948 ) p. 284

    MATH  Google Scholar 

  11. E. Schmutzer: Relativistisohe Physik (Teubner, Leipzig 1968) pp.647, 754, 762

    Google Scholar 

  12. H. Weyl: Space-Time-Matter (Dover, New York). Translation of the 1922 Fourth Edition, p. 194

    Google Scholar 

  13. R. Becker: Theorie der Elektrizitat. Bd. II. Elektronentheorie ( Teubner, Leipzig 1933 ) p. 326

    Google Scholar 

  14. T. Schlomka: Das Ohmsche Gesetz bei bewegten Körpern, Ann. Phys. 6. Folge, 8, 246–252 (1951)

    MATH  Google Scholar 

  15. C.T. Tai: Present views on electrodynamics of moving media, Radio Sci. 2, 245–248 (1967)

    ADS  Google Scholar 

  16. M. von Laue: Die Relativitatstheorie, 1. Bd. Die Spezielle Relativitätstheorie. 7. Auf1. (Yieweg, Braunschweig 1961 ) p. 118

    Google Scholar 

  17. C.T. Tai: On the presentation of Maxwell’s theory, Proc. IEEE 60, 936–945 (1972)

    Article  MathSciNet  Google Scholar 

  18. H. Arzelies: Milieux conducteurs ou polarisables en mouvement ( Gau- thier-Viliars, Paris 1959 ) p. 52

    MATH  Google Scholar 

  19. L. Diesendruck: Electromagnetic fields of a charge and isotropic medium in relative motion, Am. J. Phys. 30, 256–265 (1962)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. B.D. Nag, A.M. Sayied: Electrodynamics of moving media and the theory of the Cerenkov effect, Proc. R. Soc. (London) A235, 544–551 (1956)

    Article  MathSciNet  Google Scholar 

  21. I. Frank, I. Tamm: Coherent visible radiation of fast electrons passing through matter, C.R. Acad. Sci. USSR 14, no. 3, 109–114 (1937)

    MATH  Google Scholar 

  22. T. Hosono: Foundation of Electromagnetic Waves ( Shokodo, Tokyo 1973 ) p. 209

    Google Scholar 

  23. J.D. Jackson: Classical Electrodynamics, 2nd ed. ( Wiley, New York 1975 ) p. 638

    MATH  Google Scholar 

  24. V.L. Ginzburg: Theoretical Physics and Astrophysics (Pergamon, Oxford 1979 ) pp. 120, 156

    Google Scholar 

  25. S.F. Jacobs, H.S. Pilloff, M. Sargent, M.0. Scully, R. Spitzer (eds.): Free-Electron Generators of Coherent Radiation ( Addison Wesley, Reading, MA 1980 ) p. 255

    Google Scholar 

  26. J.E. Walsh, T.C. Marshall, M.R. Mross, S.P. Schlesinger: Relativistic electron-beam-generated coherent submillimeter wavelength Cerenkov radiation, IEEE Trans. MTT-25, 561–563 (1977)

    Article  Google Scholar 

  27. S. Van Laven, J. Branscum, J. Golub, R. Layman, J. Walsh: High power Cerenkov maser oscillator, Appl. Phys. Lett. 41, 408–410 (1982)

    Google Scholar 

  28. J. Walsh, J.B. Murphy. Tunable Cerenkov lasers, IEEE Trans. QE-18, 1259–1264 (1982)

    Google Scholar 

  29. E. Whittaker: History of the Theories of Aether and Electricity, Vol.1, The Classical Theories (T. Nelson and Sons, London 1951 ) pp. 109, 403

    Google Scholar 

  30. R. Newburgh: Fresnel drag and the principle of relativity, Isis 65, 379–386 (1974)

    Article  Google Scholar 

  31. S. Goldberg: The Lorentz theory of electrons and Einstein’s theory of relativity, Am. J. Phys. 37, 982–994 (1969)

    Article  ADS  Google Scholar 

  32. H.A. Lorentz: The Theory of Electrons, 2nd ed. (Dover, New York 1952) pp.57, 197, 321

    Google Scholar 

  33. A. Pais: Subtle is the Lord (Clarendon, Oxford 1982 ) pp. 117, 121

    Google Scholar 

  34. R.K. Wangsness: Propagation of an electromagnetic wave in a slowly moving conducting dielectric, Am. J. Phys. 50, 745–747 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  35. R.T. Compton, C.T. Tai: Radiation from harmonic sources in a uniformly moving medium, IEEE Trans. AP-13, 574–577 (1965)

    ADS  Google Scholar 

  36. C. Kooy: Free current vibrations in wire antennas embedded in a moving medium, IEEE Trans. AP-17, 820–821 (1969)

    ADS  Google Scholar 

  37. C.T. Tai: The dyadic Green’s function for a moving isotropic medium, IEEE Trans. AP-13, 322–323 (1965)

    ADS  Google Scholar 

  38. H. Fujioka, N. Kumagai: Electromagnetic radiation in a moving lossy medium, Radio Sci. 2, 1449–1458 (1967)

    ADS  Google Scholar 

  39. R.M. Kalafus: Radiation from sources in a moving conducting medium, Radio Sci. 10, 977–982 (1969)

    Article  ADS  Google Scholar 

  40. I.M. Besieris, R.T. Compton: Time-dependent Green’s function for electromagnetic waves in moving, conducting media, J. Math. Phys. (N.Y.) 8, 2445–2451 (1967)

    Article  ADS  Google Scholar 

  41. K.S.H. Lee, C.H. Papas: Electromagnetic radiation in the presence of moving simple media, J. Math. Phys. (N.Y.) 5, 1668–1672 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  42. K. Nakagawa: Radiation resistance of an oscillating dipole in a moving compressible plasma, IEEE Trans. AP-28, 65–70 (1980)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Van Bladel, J. (1984). Field in Media in Uniform Translation. In: Relativity and Engineering. Springer Series in Electronics and Photonics, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69198-0_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-69198-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-69200-0

  • Online ISBN: 978-3-642-69198-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics