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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Xiao-mao Deng Jing-zhi Li Zheng-zheng Yan Yu-bo Zhao Jun Zou |
| Copyright Year | 2011 |
| Description | Author affiliation: Laboratory for Engineering and Scientific Computing, Shenzhen Institute of Advanced Technology, Chinese academy of sciences, 510085, China (Xiao-mao Deng; Jing-zhi Li; Zheng-zheng Yan; Yu-bo Zhao) || Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong (Jun Zou) |
| Abstract | Reconstruction of unknown medium characteristics such as shape, refractive index by measurements of scattered acoustic wave data has wide application in nondestructive detection for engineering and medical use, which is a typical nonlinear and severely ill-posed problem. Under the setting of a smooth background containing a small number of unknown small inhomogeneous inclusions, we propose in this paper an efficient algorithm to reconstruct these inhomogeneities from scattered wave measurement data incited by a single-frequency acoustic wave. The proposed algorithm includes a modified treatment of quadrature rule for the singular kernel in the fundamental solution of Helmholtz equation, which enables a more accurate evaluation of the simulated total field. Numerical experiments validate the effectiveness and robustness of this algorithm in reconstructing small inhomogeneous medium in two dimensions. |
| Starting Page | 176 |
| Ending Page | 179 |
| File Size | 638787 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781467310758 |
| e-ISBN | 9781467310789 |
| DOI | 10.1109/SPAWDA.2011.6167220 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-12-09 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Algorithm design and analysis Fundamental solution Medium scattering Refractive index Signal processing algorithms Nonhomogeneous media Acoustic wave imaging Mathematical model Equations Optimization |
| Content Type | Text |
| Resource Type | Article |
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