Ming Lu1,2,3, John C. Gore1,2, and Xinqiang Yan1,2
1Vanderbilt University Institute of Imaging Science, Nashville, TN, United States, 2Department of Radiology, Vanderbilt University Medical Center, Nashville, TN, United States, 3College of nuclear equipment and nuclear engineering, Yantai University, Yantai, China
Synopsis
In ultra-high-field MRI,
both curl-free (dipole-like) and divergence-free current patterns (loop-like) are
desired for better parallel transmission performance as well as to approach the
ultimate receive performance for deep tissues. But decoupling
dipole antennas is still a challenging topic. However, as shown in
previous work, the strongest coupling in a dipole array is actually end-to-end between
elements. Another challenge when using dipoles in dense arrays comes from their
length, 45 cm at 300 MHz. We propose a novel, folded figure-of-eight (Fo8) configuration
to shorten the dipole and simultaneously make it self-decoupled from others.
Purpose:
In ultra-high-field MRI,
both curl-free (dipole-like) and divergence-free current patterns (loop-like) are
desired for better parallel transmission performance as well as to approach the
ultimate receive performance for deep tissues [1-6]. Several decoupling
methodologies have been successfully developed for loop coils, but decoupling
dipole antennas is still a challenging topic[7,8]. However, as shown in
previous work, the strongest coupling in a dipole array is actually end-to-end between
elements [9]. Although adjacent rows can be rotated to reduce this kind of
coupling, this constrains the array layout and is feasible only for limited numbers
of rows. Another challenge when using dipoles in dense arrays comes from their
length, 45 cm at 300 MHz. We propose a novel, folded figure-of-eight (Fo8) configuration
to shorten the dipole and simultaneously make it self-decoupled from others.Methods:
Figures 1a and 1b illustrate
an inductively shortened dipole and a self-decoupled Fo8 coil. Similar to
previous descriptions of self-decoupled coils [9], this Fo8 coil can be seen as
a combination of two modes: the dipole mode and a Fo8-loop mode. The dipole
mode couples electrically (coupling constant ke) while Fo8-loop modes couple
magnetically (km). The values of ke and
km have opposite signs, and their magnitudes can be changed by adjusting the
value of Cmode. Therefore, the Fo8-coil can be self-decoupled when km+ke=0. At
ultrahigh fields, Cmode typically has a small value/high impedance (0.3 pF for a
10-cm-diameter coil at 7T), and the current and electromagnetic (EM) field are
dominated only by the middle conductor, as shown in Figures 1c and 1d. Therefore,
it is expected to have similar EM fields as those of a straight dipole, and the
self-decoupled Fo8 coil can be seen as a kind of folded dipole.
We
numerically evaluated pairs of end-to-end Fo8 coils for different coil sizes
and different static magnetic fields. The simulations were performed using the FEM
solver in HFSS (ANSYS, Canonsburg, PA, USA). All coils were wrapped around a
cylindrical phantom (б =0.46 /0.55/0.60 S/m and ξr = 63.1/51.9/49.8 at 3T/7T/9.4T) with a separation of 1 cm. The
diameters of the cylindrical phantoms were 10 cm. Coil conductors were modeled
as copper sheets with a conductivity of 5.8 × 107 S/m, and
capacitors and inductors were modeled as lossy components with series
resistance. To maximally match the current pattern of a straight dipole and
obtain acceptable element isolation, we choose the smallest value of Cmode that
maintained the parameter S21 < -15 dB. We compared the B1 efficiency of the self-decoupled
Fo8 dipoles with those of straight dipoles of the same length.
Results and Discussions:
Figure 2 shows the calculated
S21 values versus the value of Cmode. The required Cmode decreases as the coil
size or magnetic field increases. For a 15cm-diameter coil at 7T and
12.5-cm-diameter coils at 9.4T, the S21 decoupling performance can achieve -15
dB even with Cmode = 0 pF, i.e., with open circuits.
Figure
3 shows the result of power loss analyses with the same input power. For the inductively
shortened dipole, to reduce the long dipole to ~10 cm, large inductors are
required and thus induce considerable power loss/received thermal noise in the
inductors. On the other hand, power losses are much smaller in self-decoupled
Fo8 dipoles as smaller inductors are required. For example, for a 7T 10-cm
diameter coil, the power losses from inductors are 21% and 4% for the shortened
dipole and self-decoupled Fo8 coil, respectively.
Figure
4a shows the simulated transmit efficiency (B1+/√power) maps, and Figure 4b
shows their relative ratio compared to conventional Fo8 coils. Cmode has a
relatively large value (2.4-7.4 pF, i.e., low impedance) at 3T, so the self-decoupled
Fo8 coils have similar B1 maps as the conventional Fo8 coil. At
7T and 9.4T, however, they exhibit similar B1 patterns as the short dipole. Note
that the self-decoupled coil has considerably higher B1 efficiency compared to
the inductively shortened dipole when its length ≤10 cm at 7T and ≤12 cm at
9.4T, corresponding to much lower losses in the inductors (Figure 3).
Here,
Cmode is chosen to decouple end-to-end elements (typically in different rows),
and the coupling between the side-by-side elements is not considered. However,
we found that the coupling between two side-by-side self-decoupled Fo8 dipoles
can achieve -16 dB even without any decoupling treatments (Figure 5a and 5c).
Another variety of dipole folds the dipole horizontally into a vertical loop
(Figure 5b) [11,12]. Similarly, it can also be decoupled by choosing a suitable
value for Cmode, as shown in Figure 5d.Conclusion:
Folded dipole antennas
(either folded vertically or horizontally into a Fo8 shape) can be
self-decoupled from other elements by adjusting the distribution of impedances.
At ultra-high fields, a self-decoupled folded dipole has a similar current and
thus B1 pattern as the straight dipole, which should improve the transmission
and receive performance when combined with loop coils. In addition to the
improved decoupling performance, we found that the self-decoupled folded dipole
outperforms the inductively-shortened dipole in terms of B1 efficiency.Acknowledgements
No acknowledgement found.References
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