Journal
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
Volume 127, Issue 5, Pages 2741-2748Publisher
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.3377056
Keywords
-
Categories
Funding
- Engineering and Physical Sciences Research Council, UK
- Engineering and Physical Sciences Research Council [EP/E050980/1] Funding Source: researchfish
- EPSRC [EP/E050980/1] Funding Source: UKRI
Ask authors/readers for more resources
The efficient simulation of wave propagation through lossy media in which the absorption follows a frequency power law has many important applications in biomedical ultrasonics. Previous wave equations which use time-domain fractional operators require the storage of the complete pressure field at previous time steps (such operators are convolution based). This makes them unsuitable for many three-dimensional problems of interest. Here, a wave equation that utilizes two lossy derivative operators based on the fractional Laplacian is derived. These operators account separately for the required power law absorption and dispersion and can be efficiently incorporated into Fourier based pseudospectral and k-space methods without the increase in memory required by their time-domain fractional counterparts. A framework for encoding the developed wave equation using three coupled first-order constitutive equations is discussed, and the model is demonstrated through several one-, two-, and three-dimensional simulations. (C) 2010 Acoustical Society of America. [DOI: 10.1121/1.3377056]
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available