3-D Directional Transverse Oscillations Synthetic Aperture Vector Flow Imaging with a 1024 Element Matrix Probe

3-D vector flow imaging is simulated with a 1024 element matrix array and vessels aligned with the x- and y- axes. Parabolic flow profiles with a peak velocity of 0.5 m/s are simulated with an interleaved synthetic aperture sequence with 5 emissions at a pulse repetition frequency of 15 kHz. Two-peak receive apodizations are used to induce transverse oscillations (TO) in the x- and y-directions, and a directional TO velocity estimator based on cross-correlation is used to estimate the 3 velocity components. The relative mean bias and relative mean standard deviation are calculated for each velocity component and the velocity magnitude. For the vessel aligned with the x-axis, the bias of the x-component is -10.1%, and for the vessel aligned with the y-axis, the bias of the y-component is -2.04%. Relative mean standard deviations of the x- and y-components are in the range 10% to 17% and below 3.2% for the z-component.