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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 15 — Aug. 1, 2007
  • pp: 2209–2211

Return to foundations of wave optics

Sergey P. Anokhov  »View Author Affiliations


Optics Letters, Vol. 32, Issue 15, pp. 2209-2211 (2007)
http://dx.doi.org/10.1364/OL.32.002209


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Abstract

The Huygens–Fresnel wave principle is found to extend far beyond its traditional use. Using only elementary mathematical means, it is shown in particular that this principle suffices to provide the exact solution of Sommerfeld’s problem of plane wave diffraction by a perfectly conducting half-plane. A more exact formulation of the wave principle itself is proposed.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: February 15, 2007
Revised Manuscript: May 23, 2007
Manuscript Accepted: June 6, 2007
Published: July 24, 2007

Citation
Sergey P. Anokhov, "Return to foundations of wave optics," Opt. Lett. 32, 2209-2211 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-15-2209


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References

  1. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1991).
  2. A. Sommerfeld, Optics, Vol. IV of Lectures on Theoretical Physics (Academic, 1954).
  3. F. Gori, Opt. Commun. 48, 67 (1983). [CrossRef]
  4. F. Gori, Atti Fond. Giorgio Ronchi 38, 593 (1983).
  5. S. Anokhov, "Plane wave diffraction by perfectly transparent half-plane," J. Opt. Soc. Am. A doc. ID 79704 (posted 11 April 2007, in press).
  6. S. A. Schelkunoff, Electromagnetic Waves, 3rd ed. (Van Nostrand, 1943).
  7. G. T. Markov and D. M. Sazonov, Antennas (Energiya, 1975) (in Russian).
  8. V. V. Nikolskiy and T. I. Nikolskaya, Electrodynamics and Radio Wave Propagation, 3rd ed. (Science Publishing, 1989) (in Russian).
  9. Yu. V. Pimenov, V. I. Volman, and A. D. Muravcov, Technical Electrodynamics (Radio i Svyaz, 2002) (in Russian).
  10. A. S. Marathay and J. F. McCalmont, J. Opt. Soc. Am. A 18, 2585 (2001). [CrossRef]
  11. A. I. Khizhnyak, S. P. Anokhov, R. A. Lymarenko, M. S. Soskin, and M. V. Vasnetsov, J. Opt. Soc. Am. A 17, 2199 (2000). [CrossRef]
  12. B. B. Baker and E. T. Copson, The Mathematical Theory of Huygens' Principle, 2nd ed. (Clarendon, 1950).

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