Configuration of DESY Magnets; UBER DIE GESTALTUNG DES DESY-MAGNETEN
Technical Report
·
OSTI ID:4260841
The results or studies on the configuration of the magnets are reported. The pole contour is calculated for the D and F sectors. In the calculation the requirements of the pole contour, the geometrical significance of the calculation, the mathematical description of the image, analysis of the field ratios, value of given parameters, influence of symmetric deviation of the contour, and the influence of finite permeability, the coil, and wider yoke patterns are considered. The molding of the end blocks are discussed, and the magnetic circuit is considerd. (J.S.R.) An assembly of particles subject only to external fields and long-range interactions may be represented as an incompressible fluid in phase space; it follows that the behavior in the special case described by uniform phase density out to sharp boundaries is completely determined by the boundary motion. For azimuthal particle motion a derivation is given of two coupled non-linear first order partial differential equations describing the motion of the phase boundaries when they are single valued functions of coordinate and time. A derivation is also given of a potential function adequate for representation of the collective-field term in these equations even when charge density varies appreciably in a distance of the order of beam diameter. Computer programs are proposed for their solution. In the appendix certain implications of this potential kernel for the solutions in the small amplitude limit of MURA-441 are discussed. ( auth)
- Research Organization:
- Deutsches Electronen-Synchrotron, Hamburg
- NSA Number:
- NSA-13-018188
- OSTI ID:
- 4260841
- Report Number(s):
- DESY-A1.5
- Country of Publication:
- Germany
- Language:
- English
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