Rough surface reconstruction of real surfaces for numerical simulations of ultrasonic wave scattering

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Title: Rough surface reconstruction of real surfaces for numerical simulations of ultrasonic wave scattering
Authors: Choi, W
Shi, F
Lowe, MJS
Skelton, EA
Craster, RV
Daniels, WL
Item Type: Journal Article
Abstract: The scattering of waves by rough surfaces plays a significant role in many fields of physical sciences including ultrasonics where failure surfaces are often rough and their accurate identification is critical. The prediction of the strength of scattering can be hampered when the roughness is not adequately characterised and this is a particular issue when the surface roughness is within an order of the incident wavelength. Here we develop a methodology to reconstruct, and accurately represent, rough surfaces using an AutoRegressive (AR) process that then allows for rapid numerical simulations of ultrasonic wave rough surface scattering in three dimensions. Gaussian, exponential and AR surfaces are reconstructed based on real surface data and the statistics of the surfaces are compared with each other. The statistics from the AR surfaces agree well with those from actual rough surfaces, taken from experimental samples, in terms of the heights as well as the gradients, which are the two main factors in accurately predicting the wave scattering intensities. Ultrasonic rough surface scattering is simulated numerically using the Kirchhoff approximation, and comparisons with Gaussian, exponential, AR and real sample surfaces are performed; scattering intensities found using AR surfaces show the best agreement with the real sample surfaces.
Issue Date: 1-Sep-2018
Date of Acceptance: 9-Apr-2018
ISSN: 0963-8695
Publisher: Elsevier
Start Page: 27
End Page: 36
Journal / Book Title: NDT and E International
Volume: 98
Copyright Statement: © 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence
Keywords: Science & Technology
Materials Science, Characterization & Testing
Materials Science
Ultrasonic wave scattering
Rough surface
Surface reconstruction
Numerical simulation
09 Engineering
Publication Status: Published
Online Publication Date: 2018-04-17
Appears in Collections:Faculty of Engineering
Mechanical Engineering
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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