Application of the parabolic equation method to medical ultrasonics
Document Type
Article
Publication Date
1-1-2000
Abstract
The application of the parabolic equation (PE) method is extended to hyperthermia and imaging problems in medical ultrasonics. It is shown that the PE provides an accurate solution of the acoustic field generated by a pre-focused array through an inhomogeneous medium. To investigate hyperthermia therapy, the PE is coupled with the heat equation. Simulations provide evidence that this interaction defocuses the acoustic field and degrades the efficiency of the hyperthermia treatment. We propose a procedure to maintain the focus in the zone of interest using two arrays and phase-conjugation invariance properties. For medical imaging, an algorithm is developed to move the focal spot of a linear array in any direction using a frequency shift in a time-reversal mirror (TRM). Simulations demonstrate that the proposed algorithm can be applied to an inhomogeneous medium in the presence of an aberrating layer without the knowledge of the medium properties. © 2000 Elsevier Science B.V.
Identifier
0002086807 (Scopus)
Publication Title
Wave Motion
External Full Text Location
https://doi.org/10.1016/S0165-2125(99)00046-3
ISSN
01652125
First Page
181
Last Page
196
Issue
2
Volume
31
Recommended Citation
Roux, P.; Song, H. C.; Porter, M. B.; and Kuperman, W. A., "Application of the parabolic equation method to medical ultrasonics" (2000). Faculty Publications. 15833.
https://digitalcommons.njit.edu/fac_pubs/15833
