scholarly journals Phase and group velocity matching for cumulative harmonic generation in Lamb waves

2011 ◽  
Vol 109 (9) ◽  
pp. 094903 ◽  
Author(s):  
Naoki Matsuda ◽  
Shiro Biwa
Keyword(s):  
Group Velocity ◽  
Harmonic Generation ◽  
Lamb Waves ◽  
Velocity Matching

scholarly journals Group-velocity-matching relation in the mixing process of broadband third-harmonic generation

2007 ◽  
Vol 56 (11) ◽  
pp. 6468
Author(s):  
Yang Yi-Sheng ◽  
Zheng Wan-Guo ◽  
Han Wei ◽  
Che Ya-Liang ◽  
Tan Ji-Chun ◽  
...  
Keyword(s):  
Group Velocity ◽  
Harmonic Generation ◽  
Third Harmonic Generation ◽  
Mixing Process ◽  
Third Harmonic ◽  
Velocity Matching ◽  
Matching Relation

Group-velocity-matching relationship in the process of third-harmonic generation

2008 ◽  
Vol 78 (5) ◽  
Author(s):  
Yisheng Yang ◽  
Wei Han ◽  
Wanguo Zheng ◽  
Jichun Tan ◽  
Fuquan Li ◽  
...  
Keyword(s):  
Group Velocity ◽  
Harmonic Generation ◽  
Third Harmonic Generation ◽  
Third Harmonic ◽  
Velocity Matching

scholarly journals Localization and Imaging of Micro-Cracks Using Nonlinear Lamb Waves with Imperfect Group-Velocity Matching

2021 ◽  
Vol 11 (17) ◽  
pp. 8069
Author(s):  
Jichao Xu ◽  
Wujun Zhu ◽  
Yanxun Xiang ◽  
Yang Gao ◽  
Xunlin Qiu
Keyword(s):  
Group Velocity ◽  
Lamb Waves ◽  
Experimental Testing ◽  
Three Dimensional ◽  
Small Crack ◽  
Propagation Path ◽  
Dimensional Structure ◽  
Positioning Errors ◽  
Micro Cracks ◽  
Velocity Matching

Nonlinear Lamb waves have attracted increasing attention for detecting and identifying microstructural changes in structural health monitoring. However, most identification methods that determine the damage locations based on the intersections of the elliptical loci will inevitably cause positioning errors due to the change of the group velocity before and after interaction with the damage. In this work, a method focusing on elliptical rings was proposed for localization and imaging of micro-cracks in a three-dimensional structure using nonlinear Lamb waves with imperfect group-velocity matching. The width of the elliptical rings can be determined by the degree of the group-velocity mismatching of nonlinear S0 modes. The mode pair S0-s0, satisfying approximate group-velocity matching, is mainly introduced by interacting with the micro-crack. The effectiveness of the proposed methodology for damage localization is verified by the experimental testing and numerical simulation. Although the length of the being-tested small crack (about 1 mm) is smaller than the wavelength of the incident fundamental Lamb wave (around 20 mm), it can be well identified and localized using nonlinear Lamb waves. The experimental results show that the proposed method enables more reliable localization of the small crack with the crossover areas, as compared with the intersections based on the ellipse method. Furthermore, a breathing crack not situated in the propagation path can also be well localized by the proposed method in comparison with those by the probability-based diagnostic imaging in the simulation cases.

Broadband second-harmonic generation in APPLN with group-velocity matching

2017 ◽  
Vol 403 ◽  
pp. 217-221 ◽  
Author(s):  
Jian Jiang ◽  
Jiandong Zhang ◽  
Kai Wang ◽  
Xuan Xiao ◽  
Zuxing Zhang
Keyword(s):  
Second Harmonic Generation ◽  
Group Velocity ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Velocity Matching

scholarly journals Group velocity matching in high-order harmonic generation driven by mid-infrared lasers

2016 ◽  
Vol 18 (7) ◽  
pp. 073031 ◽  
Author(s):  
C Hernández-García ◽  
T Popmintchev ◽  
M M Murnane ◽  
H C Kapteyn ◽  
L Plaja ◽  
...  
Keyword(s):  
Group Velocity ◽  
Harmonic Generation ◽  
High Order ◽  
Infrared Lasers ◽  
High Order Harmonic Generation ◽  
Mid Infrared ◽  
High Order Harmonic ◽  
Velocity Matching
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