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Title: Significance of accurate diffraction corrections for the second harmonic wave in determining the acoustic nonlinearity parameter

The accurate measurement of acoustic nonlinearity parameter β for fluids or solids generally requires making corrections for diffraction effects due to finite size geometry of transmitter and receiver. These effects are well known in linear acoustics, while those for second harmonic waves have not been well addressed and therefore not properly considered in previous studies. In this work, we explicitly define the attenuation and diffraction corrections using the multi-Gaussian beam (MGB) equations which were developed from the quasilinear solutions of the KZK equation. The effects of making these corrections are examined through the simulation of β determination in water. Diffraction corrections are found to have more significant effects than attenuation corrections, and the β values of water can be estimated experimentally with less than 5% errors when the exact second harmonic diffraction corrections are used together with the negligible attenuation correction effects on the basis of linear frequency dependence between attenuation coefficients, α{sub 2} ≃ 2α{sub 1}.
Authors:
 [1] ; ;  [2] ;  [3]
  1. Division of Mechanical and Automotive Engineering, Wonkwang University, Iksan, Jeonbuk 570-749 (Korea, Republic of)
  2. School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075 (China)
  3. Center for Nondestructive Evaluation, Iowa State University, Ames, IA 50010 (United States)
Publication Date:
OSTI Identifier:
22492371
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 5; Journal Issue: 9; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACOUSTICS; ATTENUATION; COMPUTERIZED SIMULATION; CORRECTIONS; DIFFRACTION; EQUATIONS; FLUIDS; FREQUENCY DEPENDENCE; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SOLIDS; WATER