Calculating Temperature Distribution of Uniplanar Gradient Coils for Unilateral NMR Magnet Based on Fourier Analysis

In this paper, a Fourier analytical method to calculate temperature distribution of uniplanar gradient coils for unilateral nuclear magnetic resonance (NMR) magnet is presented. A model of uniplanar gradient coils used for unilateral NMR magnet is presented. Fourier analysis reveals the structure of the spatial filters that solve the two-dimensional screened Poisson equation and shows the temperature distribution to be a well-defined sharpen filter of the dissipated power. Subsequently, target field method is used for the gradient coil design for unilateral magnet and the hot spot temperature of the uniplanar gradient coils with different sharpen filters are compared through simulation. Practical measurement has shown that the structure of the spatial filters made a great contribution to the distribution of the hot spot temperature.

[1]  B. Blümich,et al.  Two-dimensional imaging with a single-sided NMR probe. , 2003, Journal of magnetic resonance.

[2]  Asaf Liberman,et al.  Faster imaging with a portable unilateral NMR device. , 2013, Journal of magnetic resonance.

[3]  David M. Doddrell,et al.  The design of planar gradient coils. Part I: A winding path correction method , 2005 .

[4]  Stuart Crozier,et al.  Designing gradient coils with reduced hot spot temperatures. , 2010, Journal of magnetic resonance.

[5]  J. Perlo,et al.  3D imaging with a single-sided sensor: an open tomograph. , 2004, Journal of magnetic resonance.

[6]  Adrienne S. Lavine,et al.  Principles of Heat and Mass Transfer , 2018 .

[7]  R. Ludwig,et al.  Design and implementation of uniplanar gradient field coil for magnetic resonance imaging , 2004 .

[8]  Dexin Xie,et al.  A Novel Target Field Method for Designing Uniplanar Self-shield Gradient Coils of Fully Open MRI Device , 2007 .

[9]  Bruce J Balcom,et al.  A constant gradient unilateral magnet for near-surface MRI profiling. , 2006, Journal of magnetic resonance.

[10]  S. Crozier,et al.  Calculating temperature distributions for gradient coils , 2010 .

[11]  Bernhard Blümich,et al.  Ex Situ NMR in Highly Homogeneous Fields: 1H Spectroscopy , 2007, Science.

[12]  Ronald N. Bracewell,et al.  The Fourier Transform and Its Applications , 1966 .

[13]  Stuart Crozier,et al.  Minimizing Hot Spot Temperature in Asymmetric Gradient Coil Design , 2011, IEEE Transactions on Biomedical Engineering.

[14]  Manuel Vossel,et al.  Miniaturized multi-coil arrays for functional planar imaging with a single-sided NMR sensor. , 2015, Journal of magnetic resonance.

[15]  J. Yi,et al.  A novel type of surface gradient coil , 1991 .

[16]  B K Rutt,et al.  MR gradient coil heat dissipation , 1995, Magnetic resonance in medicine.

[17]  Bernhard Blümich,et al.  Single-sided magnetic resonance profiling in biological and materials science. , 2013, Journal of magnetic resonance.

[18]  Bernhard Blümich,et al.  Low-gradient single-sided NMR sensor for one-shot profiling of human skin. , 2012, Journal of magnetic resonance.

[19]  David M. Doddrell,et al.  The design of planar gradient coils. Part II: A weighted superposition method , 2005 .

[20]  S Crozier,et al.  Actively shielded multi-layer gradient coil designs with improved cooling properties. , 2003, Journal of magnetic resonance.

[21]  G. Roach,et al.  Green's Functions , 1982 .

[22]  Bernhard Blümich,et al.  Single-Sided NMR , 2011 .

[23]  Wei He,et al.  A hybrid passive shimming method applied to the design of a unilateral NMR magnet , 2015 .