Using metamaterial yokes in NMR measurements.

Swiss rolls are one instance of metamaterials, and can be described as an effective medium with a complex, anisotropic magnetic permeability. It has been shown that bundles of Swiss rolls can guide the magnetic flux in magnetic resonance measurements and increase the coupling between the nuclear spins and the receiver coil. Here, we investigate, with a numerical model, whether Swiss rolls can boost the detected signal in a NMR experiment, where the rolls could provide a low-reluctance return path for the magnetic flux when shaped in a yoke encircling the sample. The system consisting of the nuclear spin, the rolls and the receiver coil is analyzed with the method of finite differences in time domain (FDTD). The results show that small gains in the received signal are possible, but only if the losses (resistive and dielectric) in the rolls are reduced by over one order of magnitude from their present value in state-of-the-art materials. This situation arises because of the energy dissipation in the rolls and the mode splitting caused by the coupling between the rolls and the resonant coil.

[1]  S. Ramakrishna,et al.  Physics of negative refractive index materials , 2005 .

[2]  J. Bérenger Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves , 1996 .

[3]  D. Larkman,et al.  Microstructured magnetic materials for RF flux guides in magnetic resonance imaging. , 2001, Science.

[4]  G. Mur Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[5]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[6]  I. Young,et al.  Experimental and theoretical study of magneto-inductive waves supported by one-dimensional arrays of ''swiss rolls'' , 2004 .

[7]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[8]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[9]  J Hajnal,et al.  Metamaterial endoscope for magnetic field transfer: near field imaging with magnetic wires. , 2003, Optics express.

[10]  T. Namiki,et al.  A new FDTD algorithm based on alternating-direction implicit method , 1999 .

[11]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[12]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[13]  Tae-Woo Lee,et al.  On the accuracy of the ADI-FDTD method , 2002, IEEE Antennas and Wireless Propagation Letters.

[14]  David R. Smith,et al.  Metamaterials and Negative Refractive Index , 2004, Science.

[15]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.