OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 7 — Jul. 1, 1978
  • pp: 983–988

Shadowing an inhomogeneous plane wave by an edge

Henry L. Bertoni, Arthur C. Green, and Leopold B. Felsen  »View Author Affiliations

JOSA, Vol. 68, Issue 7, pp. 983-988 (1978)

View Full Text Article

Acrobat PDF (911 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



When an inhomogeneous plane wave or other type of evanescent field in a lossless medium strikes a large opaque object, the boundary of the shadow zone is displaced from the familiar geometric optical location for nonevanescent fields. This change is attributable to the complex propagation direction of evanescent waves. To study the mechanism of shadow formation, and indeed the significance of a shadow zone when the incident evanescent field may be weaker than diffracted fields generated by the obstacle, the problem of inhomogeneous plane diffraction by a perfectly conducting semi-infinite screen is investigated. By a careful asymptotic treatment and error analysis of the known exact solution, the location of the shadow boundary is determined, as is the transition region surrounding it wherein the field cannot be separated into incident and diffracted constituents. It is found that for strongly evanescent fields, the shadow boundary and transition zones differ markedly from those for a homogeneous plane wave. Effects of losses in the medium are also considered.

© 1978 Optical Society of America

Henry L. Bertoni, Arthur C. Green, and Leopold B. Felsen, "Shadowing an inhomogeneous plane wave by an edge," J. Opt. Soc. Am. 68, 983-988 (1978)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. G. A. Deschamps, "Ray Techniques in Electromagnetics," Proc. IEEE 60, 1022–1035 (1972).
  2. J. B. Keller, "Geometrical Theory of Diffraction," J. Opt. Soc. Am. 52, 116–130 (1962).
  3. R. G. Kouyoumjian and P. H. Pathak, "A Uniform Theory of Diffraction for an Edge in a Perfectly Conducting Surface," Proc. IEEE 62, 1448–1461 (1974).
  4. D. S. Ahluwalia, R. M. Lewis, and J. Boersma, "Uniform Asymptotic Theory of Diffraction by a Plane Screen, " Siam J. Appl. Math. 16, 783–807 (1968).
  5. W. Y. D. Wang and G. A. Deschamps, "Application of Complex Ray Tracing to Scattering Problems," Proc. IEEE 62, 1541–1551 (1974).
  6. K. G. Budden and P. D. Terry, "Radio Ray Tracing in Complex Space, " Proc. R. Soc. Lond. A 321, 275–301 (1971).
  7. 7Y. A. Kravtsov, "Complex Rays and Complex Caustics, "1 Bell Lab. Translation No. TR-69–109 (1969) of paper presented at Fourth All-Union Symposium on Diffraction of Waves (Kharkov, USSR, 1967).
  8. L. B. Felsen, "Evansecent Waves," J. Opt. Soc. Am. 66, 751–760 (1976).
  9. H. L. Bertoni, L. B. Felsen, and A. Hessel, "Local Properties of Radiation in Lossy Media, " IEEE Trans. Antennas Prop. AP-19, 226–237 (1971).
  10. S. Choudhary and L. B. Felsen, "Asymptotic Theory for Inhomogeneous Waves, " IEEE Trans. Antenna Prop. AP-21, 827–842 (1973).
  11. G. Otis, "Application of the Boundary-Diffraction-Wave Theory to Gaussian Beams, "J. Opt. Soc. Am. 64, 1545–1550 (1974).
  12. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N. J., 1973), p. 673.
  13. (a) M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964), pp. 297–298, gives the algebraic form in (7). (b) H. Jeffreys, Asymptotic Approximations (Clarendon, Oxford, 1962), p. 42, discusses the range of s over which to include the unit term in (7).
  14. H. Jeffreys, in Ref. 13(b), pp. 117–122.
  15. M. Abramowitz and I. A. Stegun, in Ref. 13(a), p. 257.
  16. H. Jeffreys, in Ref. 13(b), pp. 35 and 42.
  17. H. L. Bertoni, L. B. Felsen, and A. Green, "Shadowing of a Gaussian Beam by an Edge" (unpublished).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited