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Acta Physica Sinica

Study of the multipass amplification of the chirped pulse and its inverse problem

Chu Xiao-Liang, Bin Zhang, Cai Bang-Wei, Xiaofeng Wei, Zhu Qihua, Huang Xiao-Jun, Xiaodong Yuan, Xiaoming Zeng, Lanqin Liu, Xiao Wang, Xiaodong Wang, Zhou Kai-Nan, Guo Yi, (1)四川大学电子信息学院，成都 610064; (2)中国工程物理研究院激光聚变中心，绵阳 621900

Published Jan 1, 2005• 1 citation
Publisher

Abstract

The multipass amplification characters of the chirped pulse in gain medium were studied with the Schrdinger equation and population equation. The inverse problem of multipass amplification of the chirped pulse was studied and simulated by means of the Split-step Fourier and iteration methods, to find the profile of the input pulse from the given output pulse and multipass amplification parameters. The results are useful for the multipass amplification and design of the pulse shaping of the chirped pulse.

DOI
10.7498/aps.54.4696

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The multipass amplification characters of the chirped pulse in gain medium were studied with the Schrdinger equation and population equation. The inverse problem of multipass amplification of the chirped pulse was studied and simulated by means of the Split-step Fourier and iteration methods, to find the profile of the input pulse from the given output pulse and multipass amplification parameters. The results are useful for the multipass amplification and design of the pulse shaping of the chirped pulse.
Propagation and amplification of an ultrashort laser pulse in a two-level medium is numerically investigated with the use of the finite-difference time-domain (FDTD) procedure simultaneously solving Maxwell and Schrodinger equations with no assumptions characteristic of slowly varying envelope approximation. Comparison of the results of FDTD numerical simulations with the predictions of the pulse area theorem has demonstrated that the developed numerical procedure provides an adequate description of pulse evolution in a two-level medium. Amplification of ultrashort light pulses in a two-level medium is analyzed. Two methods of improving the gain of ultrashort pulses in a two-level medium by modulating the spatial distribution of dipole moments of resonant transitions and using initially chirped frequency-detuned pulses are explored.
The propagation properties of the chirped Gaussian pulse through gain-dispersion medium are studied by using the definition of complex wave number and the method of diffraction integral.The analytical expressions for the spectrum distribution and the temporal-spatial distribution of the chirped Gaussian pulse are given for the case of the gain-spectrum of Lorentzian distribution.The propagation properties,such as the spectrum distribution,temporal-spatial distribution,variations of the pulse width and the spectrum width,as well as the spectrum shift,etc,were analyzed in detail.It is shown that the pulse still keeps the Gaussian shape in temporal domain when the chirped Gaussian pulse propagates in the gain-dispersion medium,whereas the pulse will undergo the variation of the pulse width.During the propagation,the decrease of the spectrum width and the spectrum shift can be influenced by the chirped parameter.The larger the chirped parameter is,the more obvious the effects of broadening of pulse width and compression of spectrum width are.Furthermore,the spectrum shift increases with the propagation distance.For the given chirped parameter,the spectrum shift will tend to be a constant along the propagation distance.