A gradient coil design tool for Magnetic resonance imaging (MRI)
This code demonstrates the use of thin wires to approximate a current density. In gradient coil design for MRI usually only the z-component of the magnetic field (Bz) is considered. Hence, only wires orthogonal to z are used in this simulation. The Biot-Savart law is used to caclulte a sensitivity matrix, which is then used to calculate a current distribution. A regularization and an additional constraint is deployed to derive a ralizable coil design. This method may be used for simple geometries. However, no generalization for arbitrary surfaces (yet).
The code is written in MATLAB. However, no special toolboxes are used to make it compatible with Octave.
An explanatory introduction is given in ThinWire_Demo.m. Two basic coils are described in the scripts Cylindrical_SingleLayer.m and CylindricalShielded.m.
A publication describing the basic ideas of this code and gradient coil design in general can be found here: https://www.frontiersin.org/articles/10.3389/fphy.2021.699468/full
Sebastian Littin