Green-function Method for Nonlinear Interactions of Elastic Waves

Demčenko, A. , Mazilu, M., Reboud, J. and Cooper, J. M. (2019) Green-function Method for Nonlinear Interactions of Elastic Waves. In: 2019 IEEE International Ultrasonics Symposium (IUS), Glasgow, UK, 06-09 Oct 2019, pp. 1859-1861. ISBN 9781728145969

205865.pdf - Accepted Version


Publisher's URL:


In the linear wave propagation regime, an analytical mesh-free Green-function decomposition has been shown as a viable alternative to FDTD and FEM. However, its expansion into nonlinear regimes has remained elusive due to the inherent linear properties of the Green-function approach. This work presents a novel frequency-domain Green function method to describe and model nonlinear wave interactions in isotropic hyperelastic media. As an example of the capabilities of the method, we detail the generation of sum frequency waves when initial quasi-monochromatic waves are emitted in a fluid by finite sources. The method is supported by both numerical and experimental results using immersion ultrasonic techniques.

Item Type:Conference Proceedings
Glasgow Author(s) Enlighten ID:Demcenko, Dr Andriejus and Cooper, Professor Jonathan and Reboud, Professor Julien and Mazilu, Dr Michael
Authors: Demčenko, A., Mazilu, M., Reboud, J., and Cooper, J. M.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Copyright Holders:Copyright © 2019 IEEE
First Published:First published in 2019 IEEE International Ultrasonics Symposium (IUS): 1859-1861
Publisher Policy:Reproduced in accordance with the publisher copyright policy
Related URLs:

University Staff: Request a correction | Enlighten Editors: Update this record

Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
168637Advanced Diagnostics using PhononicsJonathan CooperEngineering and Physical Sciences Research Council (EPSRC)EP/K027611/1ENG - Biomedical Engineering
169832Bio-PHONONICS: Advanced Microfluidics & Diagnostics using Acoustic Holograms �` Bio-PhononicsJonathan CooperEuropean Research Council (ERC)340117ENG - Biomedical Engineering