Exact Evolution of Ultrashort Hollow-Airy Pulses in the Spatiotemporal Domain

An exact analytic expression for an ultrashort hollow-Airy wave packet is presented beyond the slowly varying envelope approximation. The hollow-Airy wave packet combines the hollow-Gaussian beam in the spatial domain and the Airy pulse in the temporal domain. The spatiotemporal propagation dynamics...

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Bibliographic Details
Published in:Chinese physics letters 2015, Vol.32 (1), p.47-51
Main Authors: Zhang, Jing-Fang, Wang, Zhao-Ying, Lin, Qiang
Format: Article
Language:English
Subjects:
Approximation
Beams (radiation)
Dynamic tests
Evolution
Exact solutions
Gaussian
Mathematical analysis
Wave packets
中空
强度分布
数值模拟
演进
空域
解析表达式
超短脉冲
高斯光束
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Summary:An exact analytic expression for an ultrashort hollow-Airy wave packet is presented beyond the slowly varying envelope approximation. The hollow-Airy wave packet combines the hollow-Gaussian beam in the spatial domain and the Airy pulse in the temporal domain. The spatiotemporal propagation dynamics of the ultrashort hollow- Airy pulse are analyzed by the numerical simulations. During the propagation in free space, the spatial intensity profile evolves from hollow-Gaussian to Gaussian shape; the temporal intensity profile retains Airy shape over several Rayleigh ranges. The acceleration property of the ultrashort Airy pulse is also demonstrated.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/1/014201