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Abstract

High-order harmonic generation, which is a hot topic of strong ultrafast fields, is one of the most important ways for obtaining the ultraviolet attosecond sources, and has a very wide application prospect. This work focuses on the challenges of the generation of either short or high attosecond pulses. We present the research progress of the high-order harmonics and attosecond pulse generation, and propose an effective and feasible method, and show some results. Specifically, combining the time-dependent Schrödinger equation and new unconstrained optimization algorithm, the objective function with the aim of the widest supercontinuum plateau of He atom is designed and the optimized two-color and three-color laser fields are obtained. The supercontinuum spectra extend up to 100 harmonic orders for the case of the optimized two-color laser field. As a result, a single ultrashort attosecond pulse of 25 as is produced. For the three-color case, the supercontinuum spectra reach up to 170 harmonic orders, and the width of single shortest attosecond pulse obtained by superposing pulses from low order (110 order) to high order (280 order) is obtained to be 17 as . Taking the optimized two-color laser field for example, the macroscopic medium propagation is discussed by solving the Maxwell equation. The results show that the selectivity of quantum trajectories from far-field space distribution can obtain the single ultra-short attosecond pulse.

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Authors and contacts

Corresponding author:Li Peng-Cheng,pchli@stu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 91850209, 12074239, 12047501), the Natural Science Foundation of Guangdong Province, China (Grant No. 2020A1515010927), the Science and Technology Project of Guangdong Province, China (Grant No. 2020ST084), the Special Innovation Program of Universities of Guangdong Province (Grant Nos. 2019KTSCX038, 2020KCXTD012), and the Shantou University, China (Grant No. NTF18030)

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$ l $	$ \alpha $	$r_{\rm{c}}$	S	$ A_1 $	$ A_2 $	$ B_1 $	$ B_2 $
$ 0 $	$ 0.28125 $	$ 2.0 $	$ -7.9093912 $	$ -10.899664 $	0	$ 1.7 $	$ 3.8 $
$ 1 $	$ 0.28125 $	$ 2.0 $	$ 1.50094970 $	$ 0.11297684 $	0	$ 1.3 $	$ 3.8 $
$ 2 $	$ 0.28125 $	$ 2.0 $	$ 0.88294766 $	$ -0.032043029 $	0	$ 1.3 $	$ 3.8 $
$ 3 $	$ 0.28125 $	$ 2.0 $	$ 0.41193110 $	$ -0.129391180 $	0	$ 1.3 $	$ 3.8 $
$ \geqslant 3 $	$ 0.28125 $	$ 2.0 $	$0$	$0$	0	$ 1.3 $	$ 0 $

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Vol. 71, Issue 23 - 2022-12-05

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