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Chin. Phys. B, 2020, Vol. 29(2): 024301    DOI: 10.1088/1674-1056/ab628d
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Enhancement effect of cumulative second-harmonic generation by closed propagation feature of circumferential guided waves

Guang-Jian Gao(高广健)1, Ming-Xi Deng(邓明晰)2, Ning Hu(胡宁)2, Yan-Xun Xiang(项延训)3
1 Department of Physics, Army Logistics University, Chongqing 401331, China;
2 College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;
3 School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China
Abstract  On the basis of second-order perturbation approximate and modal expansion approach, we investigate the enhancement effect of cumulative second-harmonic generation (SHG) of circumferential guided waves (CGWs) in a circular tube, which is inherently induced by the closed propagation feature of CGWs. An appropriate mode pair of primary- and double-frequency CGWs satisfying the phase velocity matching and nonzero energy flux is selected to ensure that the second harmonic generated by primary CGW propagation can accumulate along the circumference. Using a coherent superposition of multi-waves, a model of unidirectional CGW propagation is established for analyzing the enhancement effect of cumulative SHG of primary CGW mode selected. The theoretical analyses and numerical simulations performed directly demonstrate that the second harmonic generated does have a cumulative effect along the circumferential direction and the closed propagation feature of CGWs does enhance the magnitude of cumulative second harmonic generated. Potential applications of the enhancement effect of cumulative SHG of CGWs are considered and discussed. The theoretical analysis and numerical simulation perspective presented here yield an insight previously unavailable into the physical mechanism of the enhancement effect of cumulative SHG by closed propagation feature of CGWs in a circular tube.
Keywords:  circumferential guided wave      second-harmonic generation (SHG)      enhancement effect of cumulative SHG      closed propagation feature  
Received:  08 November 2019      Revised:  11 December 2019      Published:  05 February 2020
PACS:  43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)  
  43.25.+y (Nonlinear acoustics)  
  43.20.Mv (Waveguides, wave propagation in tubes and ducts)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11834008, 11704410, 11632004, 11474361, and U1930202).
Corresponding Authors:  Ming-Xi Deng, Yan-Xun Xiang     E-mail:  dengmx65@yahoo.com;yxxiang@ecust.edu.cn

Cite this article: 

Guang-Jian Gao(高广健), Ming-Xi Deng(邓明晰), Ning Hu(胡宁), Yan-Xun Xiang(项延训) Enhancement effect of cumulative second-harmonic generation by closed propagation feature of circumferential guided waves 2020 Chin. Phys. B 29 024301

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