Chinese Optics Letters, Volume. 1, Issue 9, 09556(2003)
The nonparaxial property of chirped pulsed beam
The nonparaxial property of the chirped pulsed beam is analyzed both quantitatively and qualitatively. Through the qualitative investigation of the paraxial approximation condition, we show there are chirpinduced changes in the nonparaxial propagation of the chirped pulsed beam. A quantitative nonparaxial correction was developed by use of the perturbational technic and the Fourier transform for a few-cycle chirped pulsed beam with relative small chirp parameter. It was shown that the nonparaxial corrections were enhanced near the leading or trailing edge of pulse depending on weather the chirp parameter is positive or negative. An example for pulsed Gaussian beam driven by a chirped Gaussian pulse is shown in the numerical result to confirm our analysis.
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Daquan Lu, Wei Hu, Yizhou Zheng, Zhenjun Yang, "The nonparaxial property of chirped pulsed beam," Chin. Opt. Lett. 1, 09556 (2003)