Analysis of P wave induced second-order harmonic field at solid-fluid interface with potential matrix algorithm

Yufeng Han; Qingbang Han; Ning Wu; Xintong Qian; Minglei Shan

doi:10.1016/j.ultras.2022.106789

Analysis of P wave induced second-order harmonic field at solid-fluid interface with potential matrix algorithm

Ultrasonics. 2022 Sep:125:106789. doi: 10.1016/j.ultras.2022.106789. Epub 2022 Jun 8.

Authors

Yufeng Han¹, Qingbang Han², Ning Wu¹, Xintong Qian¹, Minglei Shan¹

Affiliations

¹ College of Internet of Things Engineering, Hohai University, Changzhou 213022, China.
² College of Internet of Things Engineering, Hohai University, Changzhou 213022, China. Electronic address: hqb0092@163.com.

PMID: 35714398
DOI: 10.1016/j.ultras.2022.106789

Abstract

Based on the second-order harmonic potential theory, the characteristics of the second-order harmonic field generated at the solid-liquid interface induced by P wave incidence are analyzed. A planar model of the solid-liquid interface is established to study the variation of the second-order displacement field versus the incident angles. The homogeneous solution coefficient matrix, refraction and reflection coefficient matrix are introduced. According to the boundary conditions and Lagrange's various parameters method, the second-order displacement field is obtained, and its dependence on the solid-liquid interface is investigated. The different effects of boundary on the tangential displacement and normal displacement are demonstrated. Numerical simulation shows that the complete solution varies slightly at the incident angle, and the tangential displacement and the normal displacement change sharply at a mutation angle θ_ω due to the boundary effect.

Keywords: Coefficient matrix; Liquid-solid interface; Potential function; Second-order acoustic field.