@article{Chen_McGough_2005, title={Mode scanning for ultrasound phased arrays with six planes of symmetry}, volume={33}, url={https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1759}, abstractNote={Modes are symmetric focal patterns that exploit the symmetry of ultrasound phased arrays and cancel the complex pressure field in multiple planes that contain the central axis. The mode scanning approach, which was originally derived for symmetric planar arrays populated with rectangular elements, is extended to include triangular and hexagonal elements. This focusing method is very useful for generating heating patterns in hyperthermia. An example of mode scanning with 6-fold symmetry shown for a flat, two-dimensional ultrasound phased array populated with equilateral triangles. The pressure field of a single triangular element is computed with the fast nearfield method, which generates pressure fields with relatively small errors. The derivation of the element driving signals that produce different model focal patterns for any mode combines the characteristic of geometric symmetry with the method of gain maximization.}, number={3}, journal={Canadian Acoustics}, author={Chen, Duo and McGough, Robert J.}, year={2005}, month={Sep.}, pages={90–91} }