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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 3 — Mar. 1, 2010
  • pp: 632–636

Refinement of a discontinuity-free edge-diffraction model describing focused wave fields

Andrey G. Sedukhin  »View Author Affiliations


JOSA A, Vol. 27, Issue 3, pp. 632-636 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000632


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Abstract

Two equivalent forms of a refined discontinuity-free edge-diffraction model describing the structure of a stationary focused wave field are presented that are valid in the framework of the scalar Debye integral representation for a diffracted rotationally symmetric converging spherical wave of a limited yet not-too-low angular opening. The first form describes the field as the sum of a direct quasi-spherical wave and a plurality of edge quasi-conical waves of different orders, the optimum discontinuity-free angular spectrum functions of all the waves being dependent on the polar angle only. According to the second form, the focused field is fully characterized by only three components—the same quasi-spherical wave and two edge quasi-conical waves of the zero and first order, of which the optimum discontinuity-free angular spectrum functions are dependent on both the polar angle and the polar radius counted from the geometrical focus.

© 2010 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1220) Diffraction and gratings : Apertures
(050.1960) Diffraction and gratings : Diffraction theory
(260.1960) Physical optics : Diffraction theory

ToC Category:
Physical Optics

History
Original Manuscript: November 5, 2009
Revised Manuscript: January 16, 2010
Manuscript Accepted: January 17, 2010
Published: February 26, 2010

Citation
Andrey G. Sedukhin, "Refinement of a discontinuity-free edge-diffraction model describing focused wave fields," J. Opt. Soc. Am. A 27, 632-636 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-3-632

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