Dld. Liu et Rc. Waag, ESTIMATION AND CORRECTION OF ULTRASONIC WAVE-FRONT DISTORTION USING PULSE-ECHO DATA RECEIVED IN A 2-DIMENSIONAL APERTURE, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 45(2), 1998, pp. 473-490
Pulse-echo measurements from random scattering and from a point target
have been used to quantify transmitter beam size effects and isoplana
tic patch size as well as to evaluate the performance of different abe
rration compensation techniques. Measurements were made using a single
-element transmitter with a diameter of 1/2 in., 1 in., or 2 in., each
focused at 3 in. A tissue-mimicking scattering phantom or a point tar
get was used to produce echoes that were received in a two-dimensional
aperture synthesized by scanning a linear array. A specimen of abdomi
nal wall was placed in the reception path to produce aberration. B-sca
n images were formed with no compensation, with time-shift compensatio
n in the receiving aperture, and with backpropagation followed by time
-shift compensation. The isoplanatic patch size was estimated by compe
nsating the focus of a test point target with the parameters estimated
for an original point target position, and observing the deterioratio
n of compensation effects with increasing distance between the test an
d the original point targets. The results of the measurements using di
fferent transmitter diameters quantify the improvement of time-delay e
stimation with the increase in wavefront coherence that accompanies de
creased transmitter beam size. For seven specimens, the average isopla
natic patch size determined from a 10% increase in the -10 dB effectiv
e diameter was 16.7 mm in the azimuthal direction and 39.0 mm in the r
ange direction. These sizes increased after backpropagation to 19.0 mm
and 41.4 mm, respectively. For the 1/2 in., 1 in., and 2 in. diameter
transmitters, the average contrast ratio improvement was 2.0 dB, 2.1
dB, and 2.8 dB, respectively, with time-shift, compensation, and 2.3 d
B, 2.7 dB, and 3.5 dB, respectively, with backpropagation of 20 mm fol
lowed by time-delay estimation and compensation. The investigation ind
icates that a tightly focused transmitter beam is necessary to create
a scattered wavefront satisfactory for time-shift estimation, the isop
lanatic patch is about twice as long in the range direction as in the
azimuthal direction, and backpropagation followed by time-shift compen
sation provides better compensation of distortion than time-shift comp
ensation alone.