A Theoretical Design Approach for Passive Shimming of a Magic-Angle-Spinning NMR Magnet.
This paper presents a passive shimming design approach for a magic-angle-spinning (MAS) NMR magnet. In order to achieve a 1.5-T magic-angle field in NMR samples, we created two independent orthogonal magnetic vector fields by two separate coils: the dipole and solenoid. These two coils create a combined 1.5-T magnetic field vector directed at the magic angle (54.74° from the spinning axis). Additionally, the stringent magnetic field homogeneity requirement of the MAS magnet is the same as that of a solenoidal NMR magnet. The challenge for the magic-angle passive shimming design is to correct both the dipole and solenoid magnetic field spherical harmonics with one set of iron pieces, the so-called ferromagnetic shimming. Furthermore, the magnetization of the iron pieces is produced by both the dipole and solenoid coils. In our design approach, a matrix of 2 mm by 5 mm iron pieces with different thicknesses was attached to a thin-walled tube, 90-mm diameter and 40-mm high. Two sets of spherical harmonic coefficients were calculated for both the dipole and solenoid coil windings. By using the multiple-objective linear programming optimization technique and coordinate transformations, we have designed a passive shimming set that can theoretically reduce 22 lower-order spherical harmonics and improve the homogeneity of our MAS NMR magnet.
Youngstown State University, Youngstown, Ohio 44555.
Frank X
FX
Li
Francis Bitter Magnet Laboratory of MIT, Cambridge, MA 02139 USA.
John P
JP
Voccio
Youngstown State University, Youngstown, Ohio 44555.
Michael
M
Sammartino
Francis Bitter Magnet Laboratory of MIT, Cambridge, MA 02139 USA.
Minchul
M
Ahn
Francis Bitter Magnet Laboratory of MIT, Cambridge, MA 02139 USA.
Seungyong
S
Hahn
MIT Francis Bitter Magnet Laboratory, Plasma Science and Fusion Center, Cambridge, MA 02139.
Juan
J
Bascuñán
MIT Francis Bitter Magnet Laboratory, Plasma Science and Fusion Center, Cambridge, MA 02139.
Yukikazu
Y
Iwasa
Ferromagnetic; NMR; linear programming; magic–angle-spinning NMR magnet; shimming