Magnetic resonance imaging gradient coil design by combining optimization techniques with the finite element method

Author

Shi, Funan ; Ludwig, Reinhold

Author_Institution

Dept. of Electr. & Comput. Eng., Worcester Polytech. Inst., MA, USA

Volume

34

Issue

3

fYear

1998

fDate

5/1/1998 12:00:00 AM

Firstpage

671

Lastpage

683

Abstract

In this paper, the optimization techniques of complex method, steepest descent, and conjugate gradient are investigated in terms of their convergence behaviors. The conjugate gradient method is then combined with finite element analysis techniques to develop a magnetic resonance imaging (MRI) G_z gradient coil design strategy which maximizes the field linearity within a specified region of interest. It is found that conjugate gradient optimization in conjunction with the finite element method is a powerful and flexible coil design approach with the potential to incorporate complex coil geometries, inhomogeneous media, and transient current excitation

Keywords

NMR imaging; coils; conjugate gradient methods; convergence of numerical methods; finite element analysis; optimisation; complex method; conjugate gradient method; convergence; finite element analysis; gradient coil design; inhomogeneous medium; magnetic resonance imaging; optimization; steepest descent method; transient current excitation; Coils; Convergence; Design optimization; Finite element methods; Gradient methods; Image analysis; Linearity; Magnetic analysis; Magnetic resonance imaging; Optimization methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.668065

Filename

668065