A contrast source method for nonlinear acoustic wave fields in media with spatially inhomogeneous attenuation

被引:37
作者
Demi, L. [1 ]
van Dongen, K. W. A. [1 ]
Verweij, M. D. [2 ]
机构
[1] Delft Univ Technol, Lab Acoust Imaging & Sound Control, Fac Sci Appl, NL-2628 CJ Delft, Netherlands
[2] Delft Univ Technol, Lab Electromagnet Res, Fac Elect Engn Math & Comp Sci, NL-2628 CD Delft, Netherlands
关键词
TISSUE; COMPUTATION;
D O I
10.1121/1.3543986
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Experimental data reveals that attenuation is an important phenomenon in medical ultrasound. Attenuation is particularly important for medical applications based on nonlinear acoustics, since higher harmonics experience higher attenuation than the fundamental. Here, a method is presented to accurately solve the wave equation for nonlinear acoustic media with spatially inhomogeneous attenuation. Losses are modeled by a spatially dependent compliance relaxation function, which is included in the Westervelt equation. Introduction of absorption in the form of a causal relaxation function automatically results in the appearance of dispersion. The appearance of inhomogeneities implies the presence of a spatially inhomogeneous contrast source in the presented full-wave method leading to inclusion of forward and backward scattering. The contrast source problem is solved iteratively using a Neumann scheme, similar to the iterative nonlinear contrast source (INCS) method. The presented method is directionally independent and capable of dealing with weakly to moderately nonlinear, large scale, three-dimensional wave fields occurring in diagnostic ultrasound. Convergence of the method has been investigated and results for homogeneous, lossy, linear media show full agreement with the exact results. Moreover, the performance of the method is demonstrated through simulations involving steered and unsteered beams in nonlinear media with spatially homogeneous and inhomogeneous attenuation. (C) 2011 Acoustical Society of America. [DOI: 10.1121/1.3543986]
引用
收藏
页码:1221 / 1230
页数:10
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