✦ LIBER ✦

General Expressions for the Magnetic Field and Stored Energy of Elliptic Cylinder Coils

✍ Scribed by Q. Liu; D.G. Hughes; P.S. Allen

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 163 KB
Volume: 113
Category: Article
ISSN: 1064-1866
DOI: 10.1006/jmrb.1996.0180

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✦ Synopsis

General expressions involving Mathieu functions are derived for an elliptical cylinder and used it to design a longitudinal (z) the magnetic field and stored energy associated with distributed gradient coil. However, the optimal design of even a z gradient currents, flowing, both azimuthally and axially, on the surface of coil requires an axial as well as an azimuthal component of an elliptic cylinder. These expressions can be used to design ellipcurrent, and to construct a transverse gradient coil based on tical gradient coils of minimum inductance for MRI, as well as elliptical geometry, a large axial component is essential.

elliptical coils that will generate a uniform magnetic field or higher Our purpose in this paper is to derive general expressions order shim fields.

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