Methods for designing magnetic coils, particularly open gradient coils, and methods and systems for using open coils for diagnostic, testing, and laboratory systems. A method for designing coils may include characterizing an integrated current density distribution of a coil in terms of a stream function. The stream function may be a sum of sinusoidal functions. Parameters of the stream function may be numerically optimized to produce a coil design of selected characteristics.

 
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> RF coil system for a magnetic resonance imaging apparatus

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