OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 7 — Jul. 1, 1979
  • pp: 950–960

Apparent size of reflecting polygonal obstacles of the order of one wavelength

J. G. Dil and B. A. J. Jacobs  »View Author Affiliations

JOSA, Vol. 69, Issue 7, pp. 950-960 (1979)

View Full Text Article

Acrobat PDF (1487 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Rigorous diffraction theory is applied to compute the electromagnetic fields in the neighborhood of polygonal obstacles of three- and two-dimensional shape, including two-dimensional gratings. For obstacles such as a rectangular depression, a polygonal groove, or an array of grooves present in a metallic substrate, we calculate and measure significant departures from what a scalar diffraction approach would predict as soon as the width of the obstacle becomes smaller than one wavelength. For such widths, it is shown that the apparent depth of a groove can be smaller or larger than the geometrical depth, depending on the polarization of the incident light and on the optical constants of the substrate.

© 1979 Optical Society of America

J. G. Dil and B. A. J. Jacobs, "Apparent size of reflecting polygonal obstacles of the order of one wavelength," J. Opt. Soc. Am. 69, 950-960 (1979)

Sort:  Author  |  Journal  |  Reset


  1. J. J. M. Braat and G. Bouwhuis, Appl. Opt. 17, 2022 (1978).
  2. J. G. Dil and B. A. J. Jacobs, Digest of 1977, APS-URSI Symposium in Palo Alto, Ca., U.S.A., p. 44 (unpublished).
  3. A. Sommerfeld, Optics, (Academic, New York, 1964), pp 273–289.
  4. C. J. Bouwkamp, Rep. Prog. Phys. 17, 35 (1954).
  5. A. T. De Hoop, Proc. Kon. Ned. Akad. Wet. B58, 1401 (1955).
  6. A. T. De Hoop, Modern Topics in Electromagnetics and Antennas, PPL Conference Publication 13, (Stevenage, Peter Peregrinus Ltd.,1977) Chap. 6.
  7. R. F. Harrington, Field computations by moment methods, (Mac-Millan, New York, 1968).
  8. W. Maue Phys. 126, 701 (1949).
  9. R. Petit, C. R. Acad. Sci. (Paris) 264, 1441 (1967).
  10. K. K. Mei and J. G. Van Bladel, IEEE AP-15, 795 (1967).
  11. G. A. Gray, and R. E. Kleinman, Proceedings 1977 URSI Symposium on Electromagnetic Wave Theory, 329 (1977) (unpublished).
  12. F. L. Neerhoff, Proc. R. Soc. Lond. A 342, 237 (1975).
  13. J. P. Hugonin and R. Petit, Opt. Commun. 22, 221 (1977).
  14. P. M. Van den Berg and J. C. M. Borburgh, Appl. Phys. 3, 55 (1974).
  15. A. A. Maradudin and D. L. Mills, Phys. Rev. B 11, 1392 (1975).
  16. J. P. J. Heemskerk and C. H. F. Velzel, Private communication on phase depths measurements, available in print at Philips Research Lab., Eindhoven, The Netherlands.
  17. B. A. J. Jacobs, Appl. Opt. 17, 2001 (1978).
  18. E. G. Loewen, M. Nevière, and D. Maystre, Appl. Opt. 16, 2711 (1977).
  19. T. B. A. Senior, Radio Sci. 10, 911 (1975).

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