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Applied Optics

Applied 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)

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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

Original Manuscript: June 19, 1997
Revised Manuscript: October 8, 1997
Published: February 10, 1998

Yunlong Sheng, Sylvain Deschênes, and H. John Caulfield, "Monochromatic electromagnetic wavelets and the Huygens principle," Appl. Opt. 37, 828-833 (1998)

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