NDLI: 3-D Gradient Coil Design—Initial Theoretical Framework

Content Provider	IEEE Xplore Digital Library
Author	While, P.T. Forbes, L.K. Crozier, S.
Copyright Year	1964
Abstract	An analytic inverse method is presented for the theoretical design of 3-D transverse gradient coils. Existing gradient coil design methods require the basic geometry of the coil to be predetermined before optimization. Typically, coil windings are constrained to lie on cylindrical, planar, spherical, or conical surfaces. In this paper, a fully 3-D region in the solution space is explored and the precise geometry of the gradient coils is obtained as part of the optimization process. Primary interest lies in minimizing the field error between induced and target gradient fields within a spherical target region. This is achieved using regularization, in which the field error is minimized along with the total coil power, to obtain a 3-D current density solution within the coil volume. A novel priority streamline technique is used to create 3-D coil windings that approximate this current density, and a secondary optimization is performed to obtain appropriate coil currents. The 3-D coil windings display an interesting general geometric form involving sets of closed loops plus spiral-type coils, and a number of examples are presented and discussed. The corresponding induced magnetic field is found to be highly linear within the region of interest, and a shielding constraint may be implemented to minimize the field outside the coil volume.
Sponsorship	IEEE Engineering in Medicine and Biology Society
Page Count	15
File Size	617469
Starting Page	1169
Ending Page	1183
File Format	PDF
ISSN	00189294
Volume Number	56
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Superconducting coils Geometry Australia Inverse problems Space exploration Current density Magnetic shielding Magnetic fields Mathematics Physics three-dimensional geometry Coil design gradient coil inverse method MRI streamline
Content Type	Text
Resource Type	Article
Subject	Biomedical Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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