Conductor assembly formed about a curved axis

A conductor assembly of the type which, when conducting current, generates a magnetic field or in which, in the presence of a changing magnetic field, a voltage is induced, comprising:

• a first layer tubular in shape formed about an axis, the axis including a curved portion, along which a conductor may be positioned to define a first conductor path, the first layer including a curved portion having a shape that includes a curve extending along the curved portion of the axis;
• and
• a first conductor arranged about the curved portion of the first layer in a first helical configuration, the configuration including a curved segment, helical in shape and formed about the curved portion of the axis, the configuration positioned about a curved aperture region within the layer and capable of sustaining a magnetic field having multipole components oriented in directions transverse to the axis, wherein the conductor configuration in a portion of the aperture region which extends from the curved portion of the axis is capable of predominantly generating a dipole field in said curved aperture region where, for a set of operating conditions, at points along a circle in a plane transverse to the axis in the curved aperture region, at which both the dipole field component and a sextupole field component are determinable, the sextupole field component is less than 10−4 the magnitude of the dipole field component.

A conductor assembly comprising a magnetic coil positioned about a curvilinear axis, the assembly being of the type which, when conducting current, generates a magnetic field or in which, in the presence of a changing magnetic field, a voltage is induced, the coil comprising one or more coil rows formed about a tubular-shaped region positioned about the axis, each coil row including a conductive material occupying a spiral-like configuration capable of generating a field in the region when current flows through the conductive material, wherein:

• a spiral-like configuration includes a section of continuous conductor forming a first continuous sequence of loops about the axis;
• a first segment of the axis and the conductive material formed thereabout each have an arcuate shape with the loops along the first axis segment surrounding an aperture region spaced at least a distance R from points along the first axis segment;
• and
• when a magnetic field is generated under current conducting conditions along the directions of a plane transverse with and passing through the first axis segment, the field at a distance 0.8R from the first axis segment and along the plane is characterized by:
• a dipole component having a first magnitude;
• a quadrupole component having a second magnitude;
• a sextupole component having a third magnitude;
• and
• a decupole component having a fourth magnitude, wherein:
• the third and fourth magnitudes are each 10−4 the first magnitude or less.