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
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)