Experimental Implementation of the Second
Harmonic Inversion Imaging on an Open Ultrasonic
Scanner
Fanglue Lin
1
, François Varray
1
, Aymeric Guibal
2
, Christian Cachard
1
, Olivier Basset
1
1
CREATIS, Université de Lyon, CNRS UMR5220, INSERM U1044; INSA-Lyon; Université Lyon 1,
Villeurbanne, France
2
Hospices Civils de Lyon, Hôpital Edouard Herriot, Service d’Imagerie Digestive,
Lyon, France
Abstract—Ultrasound harmonic imaging is limited by the
harmonic components which are produced during wave
propagation because of the native nonlinearities of the tissue. A
newly proposed method, named Second Harmonic Inversion (SHI)
suggests transmitting successively two pulses with the same
frequency, the same amplitude and a 90° phase difference to
reduce the second harmonic generated by tissue. This newly
proposed SHI method is carried out on an open system equipped
with a bipolar square-wave pulser and a linear probe.
Measurements performed in water, on a general purpose
ultrasound phantom and with a tissue mimicking phantom with
circulating contrast agents are investigated. Experimental results
show that SHI method can be easily implemented on an open
system. Both radio frequency signals analysis and B-mode
ultrasound images show that SHI method decreases significantly
the native second-harmonic tissue components existing in
standard harmonic images. Contrast-to-tissue ratio (CTR) of SHI
image is improved by 4.6dB when compared to standard
harmonic image and improved by 3.6dB when compared to PI
image. SHI method enhances CTR through effective tissue
generated second harmonic reduction. Moreover, the easy
implementation procedure and the better specificity make SHI an
interesting alternative to PI method.
Keywords-harmonic suppression; second harmonic inversion;
open ultrasonic scanner
I. INTRODUCTION
Ultrasound contrast agents (UCAs) are micro-bubbles with
diameters of a few micrometers. They are currently used to
improve the detection of blood flow due to the enhanced back-
scattered echoes from micro-bubbles which are injected into
the blood vessel. In fact, the backscattered echoes also have
harmonics because of the asymmetric vibration of these micro-
bubbles when exposed to the ultrasound pressures. Therefore,
these harmonics can be extracted to form ultrasound harmonic
images, which aim to distinguish blood pool and tissue.
However it is found that the ultrasound wave propagation in
tissue is also a nonlinear process which produces harmonics
and reduces the contrast-to-tissue ratio (CTR) [1]. CTR is used
to quantify the extent of discrimination between UCA and
tissue, which is defined as:
20 log
UCA
P
n
CTR
tissue
P
n
= (1)
Where
UCA
P
n
and
tissue
P
n
are backscattered pressures of n
th
harmonic from UCA and tissue, respectively.
The following Khokhlov Zabolotskaya Kuznetsov (KZK)
equation describes the complete model of nonlinear wave
propagation:
2 3 2 2
2 0
3 3 3 2
2
2 2
0 00
c
p p p
p
zt
c t c t
δ β
ρ
∂ ∂ ∂
= Δ + +
⊥
∂∂
∂ ∂
(2)
where p is the transmitted pressure, z is the propagating
distance, t is the propagating time,
0
c is the speed of sound,
δ is the attenuation of the medium,
0
ρ is the density of the
medium and β is the nonlinearity coefficient of the medium.
The first term of the right side of the equation means
diffraction effect of the probe, the second terms stands for the
absorption of the medium and the last term represents the
nonlinear distortion of the medium. If the diffraction effect is
ignored, the above KZK equation becomes the Burger equation,
which describes the plane wave propagation. Furthermore, for
a non-viscous homogeneous medium, a lossless Burger
equation can be written as:
2 2
3 2
2
00
p p
z
c t
β
ρ
∂ ∂
=
∂
∂
(3)
Since 1990s, several approaches have been proposed to
reduce these tissue-made harmonics. Krishnan et al. [2][3][4]
used the idea of source pre-biasing to suppress the generated
tissue harmonics. However, the tissue harmonic is only reduced
over a narrow limited band and a limited range of axial field.
Pasovic et al. [5] eliminate this disadvantage by defining a
multiple frequency component second harmonic pre-biasing
signal. Shen et al. [6][7] propose to transmit simultaneously a
fundamental and a phase shifted third harmonic component.
The difference of the two components is used to cancel the
2440 978-1-4577-1252-4/11/$26.00 ©2011 IEEE 2011 IEEE International Ultrasonics Symposium Proceedings
10.1109/ULTSYM.2011.0606