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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1292–1307

Exact and approximate solutions for focusing of two-dimensional waves. II. Numerical comparisons among exact, Debye, and Kirchhoff theories

Hans A. Eide and Jakob J. Stamnes  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1292-1307 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001292


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Abstract

Recently exact and approximate solutions were presented for focusing of two-dimensional scalar and electromagnetic waves through a slit aperture in a perfectly conducting screen. We present, on the basis of these solutions, numerical comparisons between exact results and approximate Debye and Kirchhoff results for a variety of different focusing geometries. At moderately low Fresnel numbers large discrepancies are found between Debye and Kirchhoff results, and the latter are found to show greater agreement with the exact results. However, at low Fresnel numbers and large angular apertures significant discrepancies are also found between exact and Kirchhoff results, particularly at observation points inside the geometrical focus.

© 1998 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(220.2560) Optical design and fabrication : Propagating methods
(260.2110) Physical optics : Electromagnetic optics
(350.7420) Other areas of optics : Waves

History
Original Manuscript: May 19, 1997
Revised Manuscript: October 3, 1997
Manuscript Accepted: May 19, 1997
Published: May 1, 1998

Citation
Hans A. Eide and Jakob J. Stamnes, "Exact and approximate solutions for focusing of two-dimensional waves. II. Numerical comparisons among exact, Debye, and Kirchhoff theories," J. Opt. Soc. Am. A 15, 1292-1307 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1292

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