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On the Electromagnetic Surface Wave of Sommerfeld

T. Kahan and G. Eckart

  • Office National d'Etudes et de Recherches Aeronautiques, Paris, France

Phys. Rev. 76, 406 – Published 1 August, 1949

DOI: https://doi.org/10.1103/PhysRev.76.406

Abstract

It is proved that Sommerfeld's well-known electromagnetic surface wave does not exist in the radiation of a Hertzian dipole over a plane earth because it does not fulfill the so-called "radiation condition." The path of integration chosen by Sommerfeld is correct, but there is another saddle-point overlooked by this author which just annuls the surface wave due to the residue. These results are in agreement with Burrow's measurements.

References (6)

  1. T. Kahan and G. Eckart, Comptes rendus 226, 1513 (1948)
  2. A. Sommerfeld, Ann. d. Physik 28, 665 (1909)
  3. H. Weyl, Ann. d. Physik 60, 481 (1919)
  4. C. W. Burrows, Proc. I.R E. 25, 219 (1937)
  5. P. S. Epstein, Proc. Nat. Acad. Sci. 33, 195 (1947)
  6. A. Sommerfeld, Jahresber. d. Deutsch. Math. Ver. 309 (1913)

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