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Ellipsoidal Harmonic (Lamé) MRI Shims

Citation

Crozier, S and Forbes, LK and Brideson, MA, Ellipsoidal Harmonic (Lamé) MRI Shims, IEEE Transactions 0n Applied Superconductivity, 12, (4) pp. 1880-1885. ISSN 1051-8223 (2002) [Refereed Article]

DOI: doi:10.1109/TASC.2002.805958

Abstract

Ellipsoidal harmonics are presented as a basis function set for the design of shim coils for magnetic resonance imaging (MRI) or spectroscopy. MR shim coils may be either superconductive or resistive. Ellipsoidal harmonics form an orthogonal set over an ellipsoid and hence are appropriate in circumstances where the imaging or spectroscopic region of a magnet more closely conforms to an ellipsoid rather than a sphere. This is often the case in practice. The Cartesian form of ellipsoidal harmonics is discussed. A method for the design of streamline coil designs is detailed and patterns for third-order ellipsoidal (Lamé) shims wound on a cylindrical surface are presented.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Condensed Matter Physics
Research Field:Electronic and Magnetic Properties of Condensed Matter; Superconductivity
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Forbes, LK (Professor Larry Forbes)
Author:Brideson, MA (Dr Michael Brideson)
ID Code:26086
Year Published:2002
Web of Science® Times Cited:5
Deposited By:Mathematics
Deposited On:2002-08-01
Last Modified:2003-05-02
Downloads:0

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