[en] Short note. 3 refs

[en] From stipulations for the synchronization of two rotational modes in forming two major pulses of rotational echo, requirements for the alignment of multipoles of orders from two to four are obtained. It is shown that the echo may be detected not only by dipole transitions but also by the anisotropy of physical characteristics described by tensors of ranks form two to four, specifically by the anisotropy of different types of scattering. The alignment of odd-rank tensors in both echo pulses is practically identical. For even-rank tensors, on the other hand, aligned tensor components are substantially different in different pulses. 18 refs., 2 tabs

[en] Nuclear surfaces having three mutually perpendicular symmetry planes (D_2h symmetry) are parametrized in terms of O_h-covariant deformation parameters. A method is presented how all the deformation parameters can be made dependent on the quadrupole deformation through arbitrary scalar functions. Specific results for multipolarity λ = 6 are cited by way of example. (author)

[en] The concept of surface plasma confinement is discussed. The original spherical multipole KAKTUS systems as well as large cylindrical facilities equipped with permanent magnets and used for studies of quiescent plasmas are reviewed. The KAKTUS-SURMAC concept developed in the UCLA is also discussed. New high-order multipole configurations are compared with systems so far investigated. Proposals of new KAKTUS experiments are presented. Improvements of plasma generation and confinement within high-order spherical multipole (HOSM) systems are considered. Technological requirements for electromagnets of the new KAKTUS devices are discussed and supply systems for the new facilities are considered. 14 refs

[en] New methods of correcting dynamic nonlinearities resulting from the multipole content of a synchrotron are presented and discussed. In a simplest form, correction elements are placed at the center (C) of the accelerator half-cells as well as near the focusing (F) and defocusing (D) quadrupoles. In a first approximation, the corrector strengths follow Simpson's Rule. The F, C, and D correctors also permit direct control of horizontal, coupled, and vertical motion. For example, second-order sextupole nonlinearities can be corrected with F, C, and D octupoles. Generalizations and variations of the methods are described and applications to the SSC, LHC, AHF, and HERA projects are discussed. Correction by three or more orders of magnitude can be obtained, and simple solutions to a fundamental problem in synchrotrons are demonstrated. 13 refs., 2 figs., 1 tab

No abstract available

[en] The magnetic field in free space may be described by solving the equation B = ∇ φ in the appropriate coordinate system, where φ satisfied Laplace's equation. In the circular cylindrical coordinate system the radial component of B, B_r, may be written in terms of a doubly infinite sum over n and m. n describes the azimuthal variation, and m describes the radial variation, with m = O being labeled the fundamental mode for any n. The local physical effect of the non-fundamental modes on the trajectories of charged particles may be significant in the design of beam lines. Therefore, accurate numerical simulation of quadrupole (n = 2) magnets requires that the ratio of the m ≠ O terms to the fundamental be known as a function of z. Analysis of measured data for a magnet at Los Alamos National Lab is presented via calculation of these ratios. Results show that m = 1 and 2, at least, must be considered in the design of quadrupoles such as those planned for PILAC at LAMPF

No abstract available

No abstract available

[en] In order to determine the harmonic content of a multipole magnet, one usually measures the flux intercepted by a measuring coil system in several orientations, harmonically analyzes this raw data and then subjects it to some more, usually quite simple and straightforward, data reduction. We want to discuss here how various error sources affect the results of the harmonic analysis of the raw data