Electromagnetic wavelet propagation and diffraction

Yunlong Sheng; Sylvain Dechenes

doi:10.1117/12.355042

19 July 1999 Electromagnetic wavelet propagation and diffraction

Yunlong Sheng, Sylvain Dechenes

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.

Citation Download Citation

Yunlong Sheng and Sylvain Dechenes "Electromagnetic wavelet propagation and diffraction", Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); https://doi.org/10.1117/12.355042

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