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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 |
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Abstract 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.
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Received: 26 March 2016
Revised: 01 June 2016
Accepted manuscript online:
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PACS:
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43.25.Cb
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(Macrosonic propagation, finite amplitude sound; shock waves)
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43.25.Lj
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(Parametric arrays, interaction of sound with sound, virtual sources)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074038 and 11374051). |
Corresponding Authors:
De-Sheng Ding
E-mail: dds@seu.edu.cn
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Cite this article:
De-Sheng Ding(丁德胜), Jin-Huang Huang(黄锦煌) Higher-order harmonics of general limited diffraction Bessel beams 2016 Chin. Phys. B 25 124307
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