The authors describe a new gradient coil design for high resolution hu
man, animal, specimen, or phantom imaging with high gradient efficienc
y and a large region of excellent gradient uniformity, Important featu
res of our new design are the simple analytical description of the wir
e patterns that comprise the design, and ease of construction, Wires a
re spaced in a sinusoidal distribution around the circumference of the
cylinder, and curved in an arcsin shape along the length of the cylin
der, This coil produces a magnetic field pointing in a direction trans
verse to the axis of the coil with a gradient in the direction paralle
l to the axis of the coil, The same arcsin coil can be used to create
a magnetic field pointing in a direction parallel to its axis with a g
radient in a direction perpendicular to the coil axis, A prototype coi
l was constructed; field and inductance calculations were verified, Ge
ometric variations on this coil design were modeled and their performa
nce characteristics compared, This coil design is ideal for rapid impl
ementation of a transverse gradient coil, since no specialized design
software is required.