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Optics Letters

Optics Letters


  • Vol. 6, Iss. 1 — Jan. 1, 1981
  • pp: 22–23

TM and TE electromagnetic beams in free space

Lawrence W. Davis and George Patsakos  »View Author Affiliations

Optics Letters, Vol. 6, Issue 1, pp. 22-23 (1981)

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The existence of unguided TM and TE Gaussian beams is derived in a simple way from the wave equation for the vector potential, and the field configurations are discussed. We point out the possibility of a new type of free-electron laser.

© 1981 Optical Society of America

Original Manuscript: May 12, 1980
Published: January 1, 1981

Lawrence W. Davis and George Patsakos, "TM and TE electromagnetic beams in free space," Opt. Lett. 6, 22-23 (1981)

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  1. L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177 (1979). [CrossRef]
  2. G. Goubau, F. Schwering, “On the guided propagation of electromagnetic wave beams,” IRE Trans. Antennas Propag. AP-9, 248 (1961). [CrossRef]
  3. H. Kogelnik, T. Li, “Laser beams and resonators,” Proc. IEEE 54, 1312 (1966). [CrossRef]
  4. P. Lorrain, D. R. Corson, Electromagnetic Fields and Waves, 2nd ed. (Freeman, San Francisco, 1970).
  5. In the paraxial approximation, the equation for the phase fronts of Az is z = const. − r2/2R.
  6. Simple considerations about the nature of field lines make it obvious that any wave of finite lateral extent has longitudinal field components. In the case of the so-called TEM00 mode, it is seen that the longitudinal electric field vanishes along the z axis.
  7. K. Shimoda, “Proposal for an electron accelerator using an optical maser,” Appl. Opt. 1, 33 (1962). [CrossRef]

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