Characterization of linear chirped ultrashort pulse based on fractional-order Fourier transform

YI Miao; WEN Ruhong; HUANG Ersong; XIAO Pingping

doi:10.7510/jgjs.issn.1001-3806.2016.03.022

In order to use fractional-order Fourier transform(FRFT) to effectively detect coefficient of chirp signal,characterization of linear chirped ultrashort pulse was studied based on FRFT. FRFT has characteristics of high energy aggregation in an optimal order. According to the characterization, the relationship between optimal order and chirped coefficient of ultrashort pulse was proved theoretically. Numerical simulation was done for Gaussian linear-chirped pulse. The relationship curve between the fractional order and the maximum of the result of FRFT was drawn. The results show that the theoretical formula is in agreement with numerical simulation. The conclusion can provide reference for discussing chirp coefficient of ultrashort pulse.

Characterization of linear chirped ultrashort pulse based on fractional-order Fourier transform

1. Physics Science and Technology College, Yichun University, Yichun 336000, China

Received Date: 2015-03-29

Accepted Date: 2015-04-22

Available Online: 2016-05-25

Abstract: In order to use fractional-order Fourier transform(FRFT) to effectively detect coefficient of chirp signal,characterization of linear chirped ultrashort pulse was studied based on FRFT. FRFT has characteristics of high energy aggregation in an optimal order. According to the characterization, the relationship between optimal order and chirped coefficient of ultrashort pulse was proved theoretically. Numerical simulation was done for Gaussian linear-chirped pulse. The relationship curve between the fractional order and the maximum of the result of FRFT was drawn. The results show that the theoretical formula is in agreement with numerical simulation. The conclusion can provide reference for discussing chirp coefficient of ultrashort pulse.

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Reference (17)

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Characterization of linear chirped ultrashort pulse based on fractional-order Fourier transform

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