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Optics Letters

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  • Vol. 24, Iss. 24 — Dec. 15, 1999
  • pp: 1799–1801

Scalar diffraction of spherical waves by a plane aperture: a general analysis based on the critical points

Salvador Bosch and Josep Ferré-Borrull  »View Author Affiliations


Optics Letters, Vol. 24, Issue 24, pp. 1799-1801 (1999)
http://dx.doi.org/10.1364/OL.24.001799


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Abstract

We present a formulation of the scalar diffraction of spherical waves through plane apertures that takes advantage of the importance of the critical points and the semiperiodic zones that are defined in the plane of the aperture. Our approach overcomes the intrinsic limitations of stationary-phase methods (when the critical points coalesce) and allows a direct implementation in terms of numerical algorithms for computations of any predefined accuracy. The method is illustrated with examples corresponding to a rectangular aperture.

© 1999 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(050.1970) Diffraction and gratings : Diffractive optics
(260.1960) Physical optics : Diffraction theory

Citation
Salvador Bosch and Josep Ferré-Borrull, "Scalar diffraction of spherical waves by a plane aperture: a general analysis based on the critical points," Opt. Lett. 24, 1799-1801 (1999)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-24-24-1799


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References

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  3. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Chap. VIII.
  4. M. Born and E. Wolf, eds., Principles of Optics (Pergamon, Oxford, 1975), Appendix III, Sect. 3.
  5. J. B. Keller, J. Opt. Soc. Am. 52, 116 (1962).
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  7. J. Ferré-Borrull, J. Mod. Opt. 45, 555 (1998).
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  9. J. Ferré-Borrull and S. Bosch, “On the integration of highly oscillatory functions: algorithms based on semiperiodic zones and critical points in scalar diffraction,” J. Comput. Phys. (to be published).

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