The authors present an application to elliptical coordinates of Turner's target field method. Coils are designed with their inductance minimized subject to constraints on the magnetic field. This is of value, for example, in magnetic resonance imaging (MRI) where it is desired that high-strength gradient coils be rapidly switched on and off. Green functions and associated computational tools in elliptic coordinates are developed. The authors also discuss the advantages of elliptically cylindrical coils compared with circularly cylindrical coils for whole-body MRI applications.
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Petropoulos et al. (1993) studied this question.
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