AN IMPROVED ALGORITHM FOR RECONSTRUCTION OF SMALL INHOMOGENEITIES FROM ACOUSTIC MEASUREMENTS
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 illposed 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.
Medium scattering Acoustic wave imaging Fundamental solution Optimization
Xiao-maoDENG Jing-zhiLI Zheng-zheng YAN Yu-boZHAO Jun ZOU
Laboratory for Engineering and Scientific Computing, Shenzhen Institute of Advanced Technology, Chin department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
国际会议
深圳
英文
176-179
2011-12-09（万方平台首次上网日期，不代表论文的发表时间）