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Free-space propagation of the space-time Wigner distribution function

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Published 28 November 2001 • Published under licence by IOP Publishing Ltd
, , Citation Jing Cheng and Jianying Zhou 2002 J. Opt. A: Pure Appl. Opt. 4 66 DOI 10.1088/1464-4258/4/1/311

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1 State Key Laboratory of Ultrafast Laser Spectroscopy, Zhongshan University, Guangzhou 510275, People's Republic of China

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  1. Received 20 April 2001
  2. Published

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1464-4258/4/1/66

Abstract

On the basis of the paraxial wave equation of ultrashort pulsed beams, the free-space propagation equation of the space-time Wigner distribution function has been derived. The propagation laws for the moments of ultrashort pulsed beams are given. A class of propagation-invariant moments is discovered. The second-order temporal central moment is a parabolic function of the propagation distance and the root-mean-square width of ultrashort pulses increases during the propagation.

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