19 July 1999 Electromagnetic wavelet propagation and diffraction
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Proceedings Volume 3749, 18th Congress of the International Commission for Optics; (1999) https://doi.org/10.1117/12.355042
Event: ICO XVIII 18th Congress of the International Commission for Optics, 1999, San Francisco, CA, United States
Abstract
For the first time we show that optical diffraction is a wavelet transform with the electromagnetic wavelets, which are reduced to Hyugens' wavelets by a temporal. Fourier analysis in the case of monochromatic field. We define the non-diffracting electromagnetic wavelet by integrating a subset of the electromagnetic wavelets. A non-diffracting field can be constructed by a linear combination of the non- diffracting electromagnetic wavelets, which are the one-side windowed Fourier transform of the Bessel beams with a temporal frequency window and are spatially localized in the lateral direction, translated in the propagation direction and scaled in the time and the temporal frequency.
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Yunlong Sheng, Yunlong Sheng, Sylvain Dechenes, Sylvain Dechenes, "Electromagnetic wavelet propagation and diffraction", Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); doi: 10.1117/12.355042; https://doi.org/10.1117/12.355042
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