Riccardo Stara1,2,3, Fabio Morsani2, Gianluigi Tiberi4,5, Maria Evelina Fantacci2,3, Massimo Marletta6, Virna Zampa6, Brian Rutt1, Alessandra Retico2, and Michela Tosetti5
1Stanford University, Stanford, CA, United States, 2Istituto Nazionale di Fisica Nucleare (Pisa), Pisa, Italy, 3Dipartimento di Fisica, Universita' di Pisa, Pisa, Italy, 4IMAGO7, Pisa, Italy, 5IRCCS Stella maris, Calambrone (Pisa), Italy, 6Dipartimento di radiologia diagnostica ed interventistica AOU, Pisa, Italy
Synopsis
The
degenerate birdcage is not a common design for ultra-high field transmit array
due to the technical difficulties in its construction, such as the
interdependence of tuning and degeneracy on the value of capacitors. We present
here a combination of an analytical theory, circuit simulations and numerical
simulations to
be used for an efficient design and construction of the degenerate birdcage at 7T. We demonstrate satisfactory performance in terms of decoupling,
B1+ homogeneity and B1+ efficiency
on the workbench and with scanner measurements on phantoms and human
volunteers.Purpose
The
birdcage coil is still by far the most common design for MRI quadrature coils,
mostly thanks to its intrinsic efficiency and B
1+ field
uniformity. However, the “degenerate” version of this design
1, is rarely used for
multichannel transmit arrays, especially at ultra high field (≥7T). We introduce here a combination of analytical
theory and simulations to design a knee-sized transmit-and-receive degenerate birdcage
at 7T. These methods resulted in excellent performance, despite the asymmetry introduced
by the splittable design. A prototype was constructed, and demonstrated satisfactory
by workbench and scanner measurements on phantom and human volunteers.
Methods
The
birdcage theory
2,3 was rewritten in term of variables more suited
for the “degenerate” application, obtaining a mode equation dependent only on the
mutual inductances, the ratio R and series combination T of leg and end-ring
capacitance values. As shown in Figure 2, while a true degenerate solution does
not exist
3, several almost-degenerate spectra can be obtained,
depending on the value of R. The mode
equation can be inverted to obtain a relationship between the resonant
frequency and the mutual inductances, to be used in an iterative way to find
optimal values of R and T. The theory was used in combination with circuit and
numerical simulations using Agilent ADS and Altair FEKO to obtain an estimate
of optimal capacitance values, B1 efficiency, and S matrix. All FEKO
simulations were performed using a cylindrical phantom model (OD=12 cm, σ=0.6,
er=78). The coil model was imported into CST to evaluate the SAR and
B
1+ inside a realistic human head model (Ella from the
Virtual Family).
The coil
was then fabricated on an ABS cylindrical former (ID 180 mm, OD 240 mm, length
236) using Kapton and ARLON FR25 as PCB substrate for the coil legs and end
rings respectively. The 0.05 mm Kapton
shield consist of 2-layers of overlapping strips. Workbench measurements were
performed with a saline 0.1M NaCl cylindrical phantom (OD 12 cm).
A Butler
matrix
4 was simulated (using ADS and FEKO) and built to interface
the degenerate birdcage to the 2-channel MRI scanner. It consisted of three layers containing four
microstrip quadrature hybrids each and microstrip connection lines of variable
length. The substrate was 3 mm thick RO3010. Different layers were connected by
carefully calibrated RG405 semi-rigid coaxial cables. The power loss, amplitude
and phase balance were measured and compared to simulations.
A set of 8
TR switches was built on 3mm thick RG5880 substrate. The circuit uses two λ/4 lumped element lines with shunt Microsemi UM4906PIN
diodes. Insertion loss, transmit power loss, preamp isolation and preamp gain
were measured.
Results
The simulated
and measured capacitor values are shown in Table 1. The simulation correctly predicted the R value,
while some adjustment (around 15%) was needed to correctly tune the coil to 300
MHz. The mesh that
spanned the split required
slightly different values of both R and T.
As shown in
Figure 3, the simulated coil is correctly matched and decoupled, although some
residual coupling (-11 dB) exists between next-neighbor meshes. The measurements show an average reflection
coefficient of -16.8 dB and coupling coefficients better than -10.4 dB.
The
simulated and measured B
1+ maps are shown in Figure 4. The coil in CP mode has good efficiency (44.4$\frac{μT}{\sqrt{kW}$ in the simulation and 56.5 $\frac{μT}{\sqrt{kW}$ in the measurement) and the qualitative
agreement with simulation (and the birdcage theory) is good for all modes. The
simulation on the human phantom shows a CP mode efficiency of 44 $\frac{μT}{\sqrt{kW}$ and a
maximum local SAR of 1.05 W/kg normalized to 1 μT average B
1+ across
a central slice.
Regarding
the Butler matrix the mean phase error was ±3.8
o for the measurement
and ±1.4
o for the simulation, while the measured power loss was 14.6%.
The TR switches insertion loss during reception was 0.219 dB, while the
attenuation during Tx was 0.161 dB. The preamp isolation was -50 dB.
The coil,
in combination with the Butler matrix and T/R switches, was used in CP mode for
knee imaging in vivo (see Figure 1).
Discussion and Conclusions
A
knee-sized splittable degenerate birdcage was constructed at 7T, with good
performance in terms of B
1+ efficiency and element
decoupling. The modified birdcage theory, together with circuit and numerical
simulations, provided an effective strategy for design and construction. The
coil was successfully used in vivo for knee imaging and MSK applications. This
coil can be used for RF shimming and pTx solutions on both 2-channel and
8-channel MRI systems.
Acknowledgements
No acknowledgement found.References
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