Numerical and experimental analysis of a focused reflected wave in a multi-layered material based on a ray model.
Ultrasonics(2018)
Abstract
•Using a reflective focal probe for simultaneous sound-velocity and thickness measurements of a multi-layered material.•We study the multi-mode wave focus to identify the focused longitudinal waves.•Proposing the ‘bottom left’ principle to identify longitudinal-wave focus.•A phase differentiation theory is proposed to find the incident angle for the focus of the tilted rays.
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Key words
Multi-layered material,Ray model,Simultaneous measurement,Multi-mode waves,Phase difference,V(z,t) curve
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