By Vernon L. Newhouse

Utilized Superconductivity, quantity II, is a part of a two-volume sequence on utilized superconductivity. the 1st quantity handled digital purposes and radiation detection, and includes a bankruptcy on liquid helium refrigeration. the current quantity discusses magnets, electromechanical purposes, accelerators, and microwave and rf units.

The booklet opens with a bankruptcy on high-field superconducting magnets, protecting purposes and magnet layout. next chapters speak about superconductive equipment equivalent to superconductive bearings and vehicles; rf superconducting units; and destiny customers in utilized superconductivity.

Each bankruptcy within the volumes may be learn independently, and so much imagine little or no or no history within the physics of superconductivity. the themes handled don't require using complex quantum mechanics; therefore the books can be available to scholars or study staff in any department of engineering or physics. they're meant to serve either as a resource of reference fabric to present innovations and as a consultant to destiny study.

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Because of these and other reasons, the actual magnet always has components belonging to higher harmonics—an undesirable consequence. One of the central design problems in the construction of these multipole magnets, therefore, is to choose a proper winding scheme to eliminate as many of the higher harmonics as possible. Although idealized, two such winding schemes for the dipole and quadrupole are discussed, and solutions are presented. We begin first with a general approach in solving the magnetic field in a multipole magnet (Asner, 1969; Green, 1971).

6. 427 HIGH-FIELD SUPERCONDUCTING MAGNETS FIG. 22 FIG. 23 FIG. 22. The geometry-dependent factor eD(ci, bi/bB) which gives the energy of a constant-winding-thickness dipole of the type shown in Fig. 17 and as in Eq. (79). The factor OD (ci, bi/bB) is given for lines of constant bi/bB plotted versus c\. FIG. 23. The geometry-dependent factor eQ(ci, bi/bB) which gives the energy of a constant-winding-thickness quadrupole of the type shown in Fig. 21 and as in Eq. (81). The factor eQ(ci, bi/bB) is given for lines of constant bi/bB plotted versus d.

421 HIGH-FIELD SUPERCONDUCTING MAGNETS r »/> FIG. 21. Current-block arrangement for the first quadrant of the variable-windingthickness quadrupole. i. CONSTANT WINDING 20, it can be shown that Qi(K, d) = Qn>i(K9n9Ci) = 2 Ci-1 THICKNESS. For this scheme, shown in Fig. ] \- ΣΛΙ> (61) The required value of each au, now measured from the 45° line, is one-half that for the dipole of constant winding thickness; each jk is unchanged. Qi, Qn, and Qn are tabulated in Table III. For this winding scheme, the 422 Y.