An inverse approach to the design of MRI main magnets

Author

Thompson, Michael R. ; Brown, Robert W. ; Srivastava, Vishnu C.

Author_Institution

Dept. of Phys., Case Western Reserve Univ., Cleveland, OH, USA

Volume

30

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

108

Lastpage

112

Abstract

We present a new method for the design of MRI main magnets, based on a variational approach with constraints introduced by Lagrange multipliers. The extrema are located with a combination of analytical and numerical techniques. This method has been tested in the design of non-shielded and actively-shielded magnets. Several representative designs are given. The method is very flexible, having been applied also to the investigation of gradient coils, and could be adapted to the design of other static and quasi-static field systems. It may also be used to consider alternate geometries

Keywords

inverse problems; magnetic shielding; nuclear magnetic resonance imaging; superconducting magnets; variational techniques; Lagrange multipliers; MRI main magnet design; actively-shielded magnets; gradient coils; inverse approach; nonshielded magnets; numerical techniques; quasi-static field systems; spatially homogeneous solutions; superconducting main magnet; variational approach; Calculus; Coils; Design methodology; Geometry; Lagrangian functions; Magnetic analysis; Magnetic resonance imaging; Nuclear magnetic resonance; Superconducting magnets; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.272522

Filename

272522