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Updated: May 22, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Numerical and experimental analysis of the critically refracted longitudinal beam
1Ecole des Mines de Douai, Département Technologie des Polymères et Composite et Ingénierie Mécanique, 941 Rue Charles Bourseul, B.P. 10838, 59508 Douai Cedex, France. salim.chaki@mines-douai.fr
Abstract:
The critically refracted longitudinal (L(CR)) wave can be used in numerous non-destructive testing (NDT) applications, such as characterization of surface geometric aspects, subsurface defect detection and mostly for residual stress measurement. However, very few works characterize the associated ultrasonic beam. This paper deals with characterization of the L(CR) beam profile both numerically and experimentally in order to optimize the incident angle choice in order to have sufficient energy in the experimental signal. The simulations are performed in time and frequency domains concerning solid elastic, homogenous and isotropic materials taking into account the liquid-solid interaction of the excitation by a water-coupled transducer. In the obtained results all components of the refracted acoustical field are demonstrated, as well as energy distributions of L(CR) wave obtained with different incident angles.
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