An exploration of wavelet transforms for ultrashort optical pulse characterization is given. Some of the most common wavelets are examined to determine the advantages of using the causal quasi-wavelet suggested in Proceedings of the LEOS 15th Annual Meeting (IEEE, 2002), Vol. 2, p. 592, in terms of pulse analysis and, in particular, chirp extraction. Owing to its ability to distinguish between past and future pulse information, the causal quasi-wavelet is found to be highly suitable for optical pulse characterization.
© 2005 Optical Society of America
Original Manuscript: August 20, 2004
Revised Manuscript: April 18, 2005
Manuscript Accepted: May 11, 2005
Published: December 1, 2005
Javier Molina Vázquez, Michael Mazilu, Ian Galbraith, and Alan Miller, "Wavelet transforms for optical pulse analysis," J. Opt. Soc. Am. A 22, 2890-2899 (2005)