A quasi-discrete Hankel transform for nonlinear beam propagation

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成果类型：

期刊论文

作者：

You, Kai-Ming;Wen, Shuang-Chun;Chen, Lie-Zun;Wang, You-Wen;Hu, Yong-Hua

通讯作者：

Wen, S.-C.(scwen@vip.sina.com)

作者机构：

School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China

[Hu, Yong-Hua] Key Laboratory of Micro/Nano Optoelectronic Devices, Hunan University, Ministry of Education, Changsha 410082, China

Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China

[You, Kai-Ming] School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China<&wdkj&>Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China

[Wen, Shuang-Chun] School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China<&wdkj&>Key Laboratory of Micro/Nano Optoelectronic Devices, Hunan University, Ministry of Education, Changsha 410082, China

通讯机构：

[Wen, S.-C.] S

School of Information Engineering, , Wuhan 430070, China

语种：

英文

关键词：

Hankel transform;Kerr medium;Nonlinear propagation

期刊：

中国物理B

ISSN：

1674-1056

年：

2009

卷：

期：

页码：

3893-3899

DOI：

10.1088/1674-1056/18/9/046

机构署名：

本校为其他机构

院系归属：

物理与电子工程学院

摘要：

We propose and implement a quasi-discrete Hankel transform algorithm based on Dini series expansion (DQDHT) in this paper. By making use of the property that the zero-order Bessel function derivative J′0(0) 0, the DQDHT can be used to calculate the values on the symmetry axis directly. In addition, except for the truncated treatment of the input function, no other approximation is made, thus the DQDHT satisfies the discrete Parseval theorem for energy conservation, implying that it has a high numerical accuracy. Further, we have performed seve...

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A quasi-discrete Hankel transform for nonlinear beam propagation

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