1997
DOI: 10.1002/mrm.1910380525
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Planar gradient coil design by scaling the spatial frequencies of minimum‐inductance current density

Abstract: Gradient coil inductance has been remarkably reduced by the minimum-inductance design technique, which minimizes the magnetic energy stored by the gradient coil. The planar gradient coil designed by this technique, however, often has poor magnetic field linearity. Scaling the spatial frequencies of the current density function derived by this method, the magnetic field linearity of the planar gradient coil can be greatly improved with a small sacrifice of gradient coil inductance. A figure of merit of the plan… Show more

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Cited by 17 publications
(18 citation statements)
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“…In planar gradient coil geometry, the y ‐gradient has two fingerprint winding patterns along the z ‐axis with current flowing clockwise on one loop and counterclockwise on the other loop. Unlike cylindrical gradient coils where the x ‐gradient pattern can be obtained with a 90° rotation of the y ‐gradient, the x ‐gradient for planar gradient coils is achieved with windings that are laid out as a 2 × 2 fingerprint pattern on each plane with current flowing clockwise and counterclockwise alternatively (10–20).…”
Section: Theorymentioning
confidence: 99%
“…In planar gradient coil geometry, the y ‐gradient has two fingerprint winding patterns along the z ‐axis with current flowing clockwise on one loop and counterclockwise on the other loop. Unlike cylindrical gradient coils where the x ‐gradient pattern can be obtained with a 90° rotation of the y ‐gradient, the x ‐gradient for planar gradient coils is achieved with windings that are laid out as a 2 × 2 fingerprint pattern on each plane with current flowing clockwise and counterclockwise alternatively (10–20).…”
Section: Theorymentioning
confidence: 99%
“…Since the minimum intensity regions in Fig. 12 correspond to the extra phase, ϭ 2n, the difference in field among them is ⌬B ϭ 2 ␥TE ϭ 11.74 mG, [11] and the local field gradient can be obtained from the spatial distance between the minima. The linearity of the gradients is shown in Fig.…”
Section: Field Linearitymentioning
confidence: 99%
“…The TF method for planar geometries, first introduced by Yoda (8), was applied to design gradient coils with minimum inductance for axial magnets (10,11), but due to limitations on coil size the uniformity region is restricted.…”
Section: Introductionmentioning
confidence: 99%
“…However, some developments in gradient coil design have been made in the last decade. Gradient coils with novel geometries [3][4][5][6] were introduced for applications in specific tissues or samples. Designs for these novel geometric gradients usually depend on novel mathematical methods.…”
Section: Introductionmentioning
confidence: 99%