This design note presents magnetic field uniformity design data for several alternative current loop systems. Universal field symmetry properties of the class of current loop systems that is being considered are elucidated. A common property of the five loop systems that are investigated in detail is that they are all in a sense optimal. This 'Nth-order' optimality criterion is defined and discussed. Parameters of selected Nth-order current loop systems are quoted. Computations of the field uniformity of these loop systems are presented in graphical form, as 'isogauss' contours, and in tabular form, as the 'normalized volumes' enclosed by the isogauss contours. Information is provided about a current loop system that was actually constructed on the basis of the design data presented here.
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