Adam Maunder1, Ashwin Iyer2, and Nicola De Zanche1
1Oncology, Medical Physics, Cross Cancer Institute, University of Alberta, Edmonton, AB, Canada, 2Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada
Synopsis
The maximum local specific absorption rate relative to B1+ field produced increases
with B0 field strength. This relationship greatly constrains the
parameter space in sequence optimization due to safety limits. The metamaterial
liner simulated here produces lower SAR for the same transmit excitation
compared to conventional birdcage coils for whole body imaging, thereby
permitting more power-intensive scan parameters to be used. The transmit
efficiency and homogeneity is found to be similar between the metamaterial
liner and comparable birdcage coil, while the metamaterial liner produces only
41% of the 10g localized SAR for the same transmit field.
Background
The RF power deposited into the
body results in tissue heating and is therefore restricted by safety
regulations that limit the specific absorption rate (SAR)1. The benefit of increased SNR
with high B0 is thus constrained for many applications due to the consequent
increase of the repetition time (TR) or reduction of flip angle (FA) required to
meet SAR limits. Travelling wave MRI has been proposed to reduce the specific
absorption rate by distributing the electric fields more uniformly over the
body2, but comparison to
conventional resonators has typically found lower transmit efficiency because the
excitation is not spatially-localized3. Furthermore, travelling wave
MRI can only be used if the cutoff-frequency of the MR relevant
transverse-electric (TE11) mode is below the Larmor frequency, which
requires a large bore size or guiding structures that take up an impractical amount
of bore space4,5. The metamaterial liner produces propagation of cylindrical waveguide modes at frequencies
far below natural cut-off without a large reduction in bore diameter6,7. The implementation of the
metamaterial liner employed here consists of longitudinally-spaced, capacitively-loaded
rings. Such rings have been shown to produce an anisotropic effective medium
with near zero radially-directed permittivity and a large and negative longitudinally-directed
permeability. It has been proposed that the SAR performance of the metamaterial
liner is better than that of localized resonators because the currents are
distributed among many rings8,9. Purpose
To compare the performance of the metamaterial liner and standard birdcage coil for whole-body
imaging for 1H at 4.7T (200MHz). Methods
The geometry and dimensions of the metamaterial liner are
shown in Figure 1. A side view of the layers of the ring's conductors and substrates is shown below the model. In simulation (Ansys, HFSS), the
outer boundary consists of stainless steel (σ=1.1$$$×10^7$$$S/m)
representing the RF shield of the bore, and is directly connected at the point
of each radially directed tuning capacitor, Cr, to a copper (σ=5.8$$$×10^7$$$S/m) ring. The azimuthally-directed
capacitors consist of overlapping copper conductor on ROGERS 3006TM substrate
(0.25mm thick, ε
=6.15, tanδ=0.025). A simplified network model of the
metamaterial liner is included, where each ring (16-total) is split into 24-segments and adjacent rings are joined by inductors to represent wire connections.
The model consists of the lumped tuning capacitors (values found by
simulation)
$$$C^r=10pF$$$ and $$$C^ϕ=14.5pF$$$, the effective series
inductance and capacitance to ground of each azimuthally-directed segment of
the rings ($$$L^ϕ=37.8 nH$$$ and $$$C^p= 1.6 pF$$$), and the longitudinally-directed
inductance of the wire connections and capacitive coupling between adjacent
rings ($$$L^z= 28nH$$$ and $$$C^z=2 pF$$$). Loss is included by series resistance corresponding to the Q=400
of the lumped capacitances. Simulation of the input impedance is compared to
that calculated with the circuit model.
The simulation model of the birdcage coil (Cleg=7.2pF, and Cring=16.28pF)
and full metamaterial liner with human body model is shown in Figure 2. The metamaterial liner is excited with ports
shown in Figure 2.Results
The input impedance and reflection coefficient (quadrature port disconnected) is shown in Figure 3. A
excitation for the HE11
mode is required for uniform excitation at isocentre, which is the second
longitudinal resonance at 200MHz (the first resonance is the 0th/homogeneous
longitudinal mode, where the current phase and magnitude is equal for all rings).
The comparison of the fields and transmit efficiency normalized to
1kW input power for the BC coil and metamaterial liner are shown in Figure 4.
When unloaded, the mean transmit efficiency inside the outlined region
is lower for the metamaterial liner compared to the birdcage coil (4.98 vs. 8.47$$$μT/\sqrt{kW}$$$), and slightly more inhomogeneous (CoV=4.3% vs. 1.8
%). However, when loaded the mean transmit efficiencies are nearly identical
(2.84 vs. 2.76$$$μT/\sqrt{kW}$$$), and the metamaterial liner is more homogeneous (CoV=35% vs. 43%). In the maps shown in Figure 5 the SAR is much more evenly distributed
along the body for the metamaterial liner compared to birdcage coil. Most
importantly, for a normalized mean 1µT excitation the maximum local 10g averaged
SAR is significantly lower for the metamaterial liner vs. birdcage coil (9.2 vs.
22.4$$$\sqrt{W/kg}⁄μT$$$). Discussion
In previous designs, the longitudinal coupling between rings
was neglected in the analysis of the metamaterial liner6, while here longitudinal wire
connections are made explicitly (galvanically) rather than through capacitive
or inductive coupling. This new approach and modelling framework allows the
rings to be spaced farther apart and increases the spacing of longitudinal
resonances.
The HEn1 mode spacing and spacing of the longitudinal resonances for the HE11 mode are closely predicted
by the network model. Therefore, the model can act as a powerful design tool
for the tuning and optimization of the metamaterial liner, without resorting to
computationally-expensive full wave simulations. Inclusion of mutual coupling
between segments and additional losses may more accurately model the
longitudinal resonances of the HE01 mode and absolute values of the
input impedance.Conclusion
In realistic loaded conditions, the metamaterial liner
offers a more than two-fold reduction in maximum SAR over the birdcage. This
highly-desirable property offers enhanced safety margins for high-field whole-body
imaging and the opportunity to reduce the limitations imposed on sequences by
SAR constraints. Thus, the metamaterial liner is an excellent candidate for high-field
volume MR excitation.Acknowledgements
This work was supported by the Alberta Innovates Postdoctoral Fellowship in Health Innovation and the National Sciences and
Engineering Research Council of Canada (NSERC) Discovery Grants program. References
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