Higher-order harmonics of general limited diffraction Bessel beams

doi:10.1088/1674-1056/25/12/124307

中国物理B ›› 2016, Vol. 25 ›› Issue (12): 124307-124307.doi: 10.1088/1674-1056/25/12/124307

• SPECIAL TOPIC—Acoustics • 上一篇下一篇

Higher-order harmonics of general limited diffraction Bessel beams

De-Sheng Ding(丁德胜), Jin-Huang Huang(黄锦煌)

1. School of Electronic Science and Engineering, Southeast University, Nanjing 210096, China;
2. Department of Mechanical and Computer-Aided Engineering, Feng Chia University, Taichung 40724, Taiwan, China

收稿日期:2016-03-26 修回日期:2016-06-01 出版日期:2016-12-05 发布日期:2016-12-05
通讯作者: De-Sheng Ding E-mail:dds@seu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074038 and 11374051).

Higher-order harmonics of general limited diffraction Bessel beams

De-Sheng Ding(丁德胜)¹, Jin-Huang Huang(黄锦煌)²

1. School of Electronic Science and Engineering, Southeast University, Nanjing 210096, China;
2. Department of Mechanical and Computer-Aided Engineering, Feng Chia University, Taichung 40724, Taiwan, China

Received:2016-03-26 Revised:2016-06-01 Online:2016-12-05 Published:2016-12-05
Contact: De-Sheng Ding E-mail:dds@seu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074038 and 11374051).

摘要/Abstract

摘要：

In this paper, we extensively study the higher-order harmonic generation of the general limited diffraction m-th-order Bessel beam. The analysis is based on successive approximations of the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation. Asymptotic expansions are presented for higher-order harmonic Bessel beams in near and far fields. The validity of asymptotic approximation is also analyzed. The higher-order harmonic of the Bessel beam with the lowest zero-order is taken as a special example.

关键词: harmonic generation, Bessel beam, limited diffraction

Abstract:

Key words: harmonic generation, Bessel beam, limited diffraction

中图分类号: (Macrosonic propagation, finite amplitude sound; shock waves)

43.25.Cb

43.25.Lj (Parametric arrays, interaction of sound with sound, virtual sources)

丁德胜, 黄锦煌. Higher-order harmonics of general limited diffraction Bessel beams[J]. 中国物理B, 2016, 25(12): 124307-124307.

De-Sheng Ding(丁德胜), Jin-Huang Huang(黄锦煌). Higher-order harmonics of general limited diffraction Bessel beams[J]. Chin. Phys. B, 2016, 25(12): 124307-124307.

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Higher-order harmonics of general limited diffraction Bessel beams

Higher-order harmonics of general limited diffraction Bessel beams

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