Synopsis
NMR and MRI signal detection is traditionally based on Faraday
induction. The local magnetic moment produced by the nuclear spins is thereby excited
and detected by near-field magnetic interaction with the coil. However, the
basic physical regime governing the electrodynamics of the RF detector alters
at ultra-high frequencies and therefore the instruments applied in these
systems have to cope with a different situation than at lower field strengths.
The emergence of field propagation phenomena and radiation allows and
necessitates the application of new RF topologies that are not only targeted at
producing and detecting magnetic fields in their reactive near field.Introduction
NMR and MRI signal detection is traditionally based on Faraday
induction [1]. The local magnetic moment produced
by the nuclear spins is thereby excited and detected by near-field magnetic
interaction mostly with one or multiple electromagnetic resonators tuned to the
particular nuclear precession / Larmor frequency. Theses resonators produce
large magnetic fields inside the sample by storing electromagnetic energy in
their reactive near field. The idea of a direct inductive coupling between the
RF detector and the nuclear magnetization in an MR experiment guided the
development of these devices from the very beginning. This is also exemplified
by the fact that despite the wide variety of existing designs MR RF detectors
are widely doubted as “coils”, although the most commonly used implementations
show hardly any resemblance with wound conductors. However, the basic physical
regime governing the electrodynamics of the RF detector alters at ultra-high
frequencies and therefore the instruments applied in these systems have to cope
with a different situation than at lower field strengths. The emergence of
field propagation phenomena and radiation allows and necessitates the
application of new RF topologies that are not only targeted at producing and
detecting magnetic fields in their reactive near field.
Physical background
The efficiency of MRI coils is determined by the ratio of
circularly transverse polarized magnetic field produced in the region of
interest and the involved losses [2].
For systems that are substantially smaller than the electromagnetic wavelength the
magnetic field is produced by currents flowing on the coil conductor in the
sense of Biot-Savart’s law. The involved losses are mainly ohmic. They are caused
by the finite conductivity of the deployed conductors, dissipative losses in
the components and by eddy currents in the conductive sample material / tissue.
At the port connecting to the coil, the produced magnetic field represents as
an inductance and the losses as equivalent series resistance. For typical
NMR/MRI samples the inductive reactance is significantly higher than the
resistive component, therefore the coil has a high quality factor (Q). In order
to couple a signal in and out of the coil, this largely reactive impedance has
to be matched to the real impedances of the connecting transmission lines/cables.
The reactive nature of the coil forces the matching to be highly resonant and
narrowband [3].
The quality factor of the resonance is thereby directly linked to that of the
coil. The final SNR efficiency is however weighted by the filling factor which
is the ratio between the NMR active magnetic field that permeates the region of
interest and the total reactive magnetic field components adding to the
inductance of the structure but not to the signal gain.
With increasing frequency the radiative field components
rise and concomitantly the power propagating away from the antenna that is not
directly dissipated in the material. Then the generated RF fields detach from
the coil conductor and are not in-phase throughout the sample anymore.
Furthermore, a magnetic field generated in the sample can originate from an
electric field close to the coil/antenna conductor. This enables antenna
topologies to become efficient NMR/MRI coils that do not primarily produce a reactive
magnetic near field in their close vicinity. This effect allowed remote
excitation and detection by traveling waves [4].
The radiated power is furthermore adding to the equivalent series resistance of
the coil however it does not primarily represent an ohmic loss in the system. Consequently,
such antenna structures can be efficient while exhibiting very low unloaded quality
factors and a correspondingly low Q-drop. Thereby they can offer high
bandwidths and low load dependence.
However, when considering RF
problems at ultra-high fields it has always to be taken into account, that the
coil/antenna will be operating inside the bore of an MRI scanner and not in
free space. The bore wall is conductive and sets therefore boundary conditions
to the electric and the magnetic field. This induces decisive differences to
considerations typically made for free field antennas as for instance used in
radio communication applications. I.e. only electromagnetic modes with a
cut-off frequency below or close to the Larmor frequency can propagate RF
power, however they can be individually fed and detected enabling remote parallel
excitation and reception [5].
Furthermore, the derivation of the antenna/coil system’s properties cannot be
separated from a particular loading situation since the interaction with the
sample is typically very strong and alters the field pattern significantly.
This leads to a considerably reduced validity of many coil design rules which
are based on low perturbation approximations of the antenna’s free field
properties when interacting with the sample.
Traveling wave NMR/MRI
The basic
principle of the traveling wave approach is to excite the electromagnetic modes
established by the circumferential conductive surface of the bore lining. If
these modes have cut-offs below or close to the Larmor frequency, power can be
efficiently coupled into these modes by use of patch antennas, feeding struts,
electric or magnetic dipoles which are located at the bore end [4, 5]
(Fig. 1a&b) or at the isocenter [6].
The approach showed that NMR can be excited and detected solely by propagative
fields (Fig. 1c) without the presence of a closely coupled resonator.
Importantly the progression of
the RF phase present in propagative RF field components has the potential to
mitigate uniformity problems of the excitation field. Since the underlying wave
equation forces the complex fields to have a certain curvature choosing the
solutions with a strong spatial phase modulation helps to reduce the variation
in the amplitude of the magnetic fields (see Fig. 1d). Furthermore the
power for the RF excitation has in some cases to be delivered to locations with
a distance from the coil conductor on the order of the RF wavelength or beyond.
These regions reside outside the reactive near field and can often be reached
more efficiently using radiative antennas in comparison to typical coil
structures that primarily produce strong reactive near fields in their vicinity.
However, when considering the spatial power flow of the corresponding fields
one has to keep in mind that the Pointing vectors represents the power flow
irrespective if it is of propagative or of dissipative nature. Therefore also
for traditional surface loop coils the Pointing vectors are in the loaded case
pointing mainly perpendicular to the conductor plain into the lossy sample following
the power flowing from the coil into the sample tissue where it is deposited.
On the other hand an unloaded loop coil in free space would generate Pointing
vectors directing radially away in the plane of the coil conductors.
Surface antenna topologies for propagative RF
fields
In a quasi-stationary regime loop structures and arrays
thereof offer a very high efficiency for producing reactive magnetic near
fields. At higher frequencies the use of microstrip transmission lines
(Fig. 4a) was introduced for transmission arrays [7].
The strong concentration of the magnetic and electric near fields in the
element cause a comparably low resistive coupling to the sample tissue and
thereby a lower load dependence of the structure and coupling to other elements.
In particular large portions of the reactive electric fields can be
concentrated in the capacitors at the end of the transmission line. However,
these elements are typically fed from one of end-points which requires a
careful balancing of the matching and exposes the RF cable to strong electric
fields emanating from capacitively shorted end of the transmission line. Feeding
the element from the center (Fig. 1b, [8])
allows to connect the cable with very low electric field exposure. Effectively
these elements form a capacitively shortened dipole over a ground backplane. Removing
the backplane or locating it very distantly from the strip line results in an
effective dipole structure. These dipoles are not capacitively shortened and
consequently the capacitive reactance of the element is largely caused by the
electric field evanescent from the dipole’s tips. These electric fields can be
concentrated in a high dielectric material [9]
in order to prevent them from penetrating the sample causing loss and high
local SAR depositions. Also monopole antennas (Fig. 1d) have been proposed
for the use as MRI antennas [10].
Although their conductive surfaces suggest an entirely different topology than
a dipole the structure is from a field theoretical standpoint largely
equivalent to a dipole rotated by 90°. This becomes apparent considering the
image charges and currents generated by the monopole in its backplane.
Acknowledgements
No acknowledgement found.References
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