By Rainer Meinke Carl Goodzeit Penny Ball; United States. Dept. of Energy. Office of Energy Research.; United States. Dept. of Energy. Chicago Operations Office.; United States. Dept. of Energy. Office of Scientific and Technical Information.; Advanced mag

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2. Double-helix quadrupole The double-helix quadrupole which has been described in [1] is a novel magnet design that produces a quadrupole field by modulating the axial position ofthe conductor path in a helically wound solenoid with a periodicity of2. Figure 2 shows the conductor arrangement for a pair of double-helix quadrupole coils. - . Z CW wound inner coil x Figure 2. Arrangement of conductors in a 2-layer double-helix quadrupole. It is necessary to use pairs ofthese windings in order to cancel the solenoid field in the aperture of the magnet and at the same time add the quadrupole field from each layer.

Y 14 Figure 4 Other parameters associated with this model include a current density of 500 Almm2 applied to the coils and an iron yoke using M-45 iron. The saturation curve for the iron is shown in Figure 5. 80 . 96e+3 Figure 5. Saturation curve for M-45 steel. Ver. 1. HCX quad analysis Page 2 10/7/02 I Appendix II, Part 1 3. 1. Magnetic field strength and gradient The magnetic field strength results are presented with and without the presence of the iron yoke. Figure 6 shows the value of the maximum radial field component at a reference radius of 25 mm along the length of the magnet.

In this case 31 turns were used with helical adavance 8 mm per turn to achieve a total physical length of 323 mm for the DHQ used in this example. The reference radius used for the output of the magnetic field components was 16 mm. 1. Magnetic field strength (gradient) The field gradient along the length of the magnets from the centerline is plotted is in Figure 4 for the DHQ, the flat coil design and the flat coil design with an iron pole piece. : I: .!!! 'tJ co .. C) 100 90 80 70 60 50 40 30 20 10 0 ....

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