Gradient Coil Design and Realization for a Halbach-Based MRI System
Bart de Vos, Patrick Fuchs, Thomas O'Reilly, Andrew Webb, Rob Remis

TL;DR
This paper presents the design and construction of gradient coils for a Halbach-based MRI system, adapting the target field method for transverse magnetic fields, and demonstrates successful imaging with minimal distortion.
Contribution
It extends the target field method to transverse fields in Halbach MRI systems and demonstrates practical coil construction and imaging performance.
Findings
Measured fields match simulations and target fields
High-quality 3D images obtained with low distortion
Gradient coils successfully constructed for Halbach MRI
Abstract
In this paper we design and construct gradient coils for a Halbach permanent magnet array magnetic resonance (MR) scanner. The target field method, which is widely applied for the case of axial static magnetic fields, has been developed for a transverse static magnetic field as produced by a Halbach permanent magnet array. Using this method, current densities for three gradient directions are obtained and subsequently verified using a commercial magneto-static solver. Stream functions are used to turn the surface current densities into wire patterns for constructing the gradient coils. The measured fields are in good agreement with simulations and their prescribed target fields. Three dimensional images have been acquired using the constructed gradient coils with very low degree of geometric distortion.
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