The Publication Database hosted by SPL
|
All Publications
Upload
Advanced Search
Gallery View
Download Statistics
Help
Import
Log in
Nonlinear Planar Forward and Backward Projection
Institution: |
Focused Ultrasound Laboratory, Harvard Medical School and Brigham and Women's Hospital Boston, MA USA |
Publisher: |
IEEE International Ultrasonics Symposium IUS 2008 |
Publication Date: |
Nov-2008 |
Pages: |
1800-1803 |
Citation: |
IEEE International Ultrasonics Symposium 2008; 1800-1803. |
Appears in Collections: |
FUS |
Generated Citation: |
Clement G.T. Nonlinear Planar Forward and Backward Projection. IEEE International Ultrasonics Symposium 2008; 1800-1803. |
| Downloaded: | 403 times. [view map] |
| Paper: | Download, View online |
| Export citation: |
Planar projection methods have been shown to rapidly relate fields between two planes. Such an approach is particularly useful for characterizing transducers, since only a single plane needs to be measured in order to characterize an entire field. The present work considers the same approach for the case of a nonlinear field in the presence of an arbitrary dispersion relation. Unlike traditional methods that use Fourier solutions of the time-domain wave equation, the approach forms a frequency-domain integral equation for waves in a dispersive medium. It is shown that a transfer function similar to that derived from time domain equations can be utilized. Both the forward- and backward-projection behaviors are examined and it is demonstrated that the approach is invariant to propagation direction.