k-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics

被引:178
作者
Cox, B. T.
Kara, S.
Arridge, S. R.
Beard, P. C.
机构
[1] UCL, Dept Med Phys & Bioengn, London WC1E 6BT, England
[2] UCL, Dept Comp Sci, London WC1E 6BT, England
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1121/1.2717409
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Biomedical applications of photoacoustics, in particular photoacoustic tomography, require efficient models of photoacoustic propagation that can incorporate realistic properties of soft tissue, such as acoustic inhomogeneities both for purposes of simulation and for use in model-based image reconstruction methods. k-space methods are well suited to modeling high-frequency acoustics applications as they require fewer mesh points per wavelength than conventional finite element and finite difference models, and larger time steps can be taken without a loss of stability or accuracy. They are also straighforward to encode numerically, making them appealing as a general tool. The rationale behind k-space methods and the k-space approach to the numerical modeling of photoacoustic waves in fluids are covered in this paper. Three existing k-space models are applied to photoacoustics and demonstrated with examples: an exact model for homogeneous media, a second-order model that can take into account heterogeneous media, and a first-order model that can incorporate absorbing boundary conditions. (c) 2007 Acoustical Society of America.
引用
收藏
页码:3453 / 3464
页数:12
相关论文
共 44 条
[4]   The frequency-dependent directivity of a planar Fabry-Perot polymer film ultrasound sensor [J].
Cox, Benjamin T. ;
Beard, Paul C. .
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 2007, 54 (02) :394-404
[5]   Quantitative photoacoustic imaging:: fitting a model of light transport to the initial pressure distribution [J].
Cox, BT ;
Arridge, SR ;
Köstli, KP ;
Beard, PC .
PHOTONS PLUS ULTRASOUND: IMAGING AND SENSING 2005, 2005, 5697 :49-55
[6]   Fast calculation of pulsed photoacoustic fields in fluids using k-space methods [J].
Cox, BT ;
Beard, PC .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2005, 117 (06) :3616-3627
[7]  
DEMUL FFM, 1998, J VASC RES, V35, P192
[8]  
DIEBOLD GJ, 1994, ACUSTICA, V80, P339
[9]   Determining a function from its mean values over a family of spheres [J].
Finch, D ;
Patch, SK ;
Rakesh .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2004, 35 (05) :1213-1240
[10]   NUMERICAL AND THEORETICAL-STUDY OF CERTAIN NON-LINEAR WAVE PHENOMENA [J].
FORNBERG, B ;
WHITHAM, GB .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 289 (1361) :373-404