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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 5 — Feb. 10, 1998
  • pp: 828–833

Monochromatic Electromagnetic Wavelets and the Huygens Principle

Yunlong Sheng, Sylvain Deschênes, and H. John Caulfield  »View Author Affiliations


Applied Optics, Vol. 37, Issue 5, pp. 828-833 (1998)
http://dx.doi.org/10.1364/AO.37.000828


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Abstract

For the first time, to our knowledge, optical diffraction is shown to be a wavelet transform with the electromagnetic wavelets. We show that the optical wavelets proposed by Onural [Opt. Lett. 18, 846 (1993)] are the Huygens wavelets under a Fresnel approximation, and the electromagnetic wavelets proposed by Kaiser [A Friendly Guide to Wavelets (Birkhauser, Boston, Mass., 1994)] reduce to Hyugens wavelets in the case of a monochromatic field.

© 1998 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(100.7410) Image processing : Wavelets
(110.6980) Imaging systems : Transforms

Citation
Yunlong Sheng, Sylvain Deschênes, and H. John Caulfield, "Monochromatic Electromagnetic Wavelets and the Huygens Principle," Appl. Opt. 37, 828-833 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-5-828

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