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Transverse Space-Charge Effects in Circular Accelerators

Description: The particles in an accelerator interact with one another by electromagnetic forces and are held together by external focusing forces. Such a many-body system has a large number of transverse modes of oscillation (plasma oscillations) that can be excited at characteristic frequencies by errors in the external guide field. In Part I we examine one mode of oscillation in detail, namely the quadrupole mode that is excited in uniformly charged beams by gradient errors. We derive self-consistent equations of motion for the beam envelope and solve these equations for the case in which the space-charge force is much less than the external focusing force, i.e., for strong-focusing synchrotrons. We find that the resonance intensity is shifted from the value predicted by the usual transverse incoherent space-charge limit; moreover, because the space-charge force depends on the shape and size of the beam, the beam growth in always limited. For gradient errors of the magnitude normally present in strong-focusing synchrotrons, the increase in beam size is small provided the beam parameters are properly chosen; otherwise the growth may be large. Thus gradient errors need not impose a limit on the number of particles that can be accelerated. In Part II we examine the other modes of collective oscillation that are excited by machine imperfections. For simplicity we consider only one-dimensional beams that are confined by harmonic potentials, and only small-amplitude oscillations. The linearized Vlasov and Poisson equations are used to find the twofold infinity of normal modes and eigenfrequencies for the stationary distribution that has uniform charge density in real space. In practice, only the low-order modes (the dipole, quadrupole, sextupole, and one or two additional modes) will be serious, and the resonant conditions for these modes are located on a tune diagram. These results, which are valid for all beam intensities, ...
Date: October 30, 1968
Creator: Sacherer, Frank James
Partner: UNT Libraries Government Documents Department

Nineteenth-century New Orleans composers

Description: The simplest reason for a study of these composers is the fact that they composed Even though few of the compositions studied in this thesis deserve reviving, they nevertheless deserve sufficient investigation to provide a basis for such a judgement. The composers under consideration here are important for their distinctive contribution to the advancement of music in New Orleans and, thereby, the entire nation.
Date: May 1968
Creator: Wolfe, Alvin Duain
Partner: UNT Libraries

A study of the design possibilities and techniques of pounding plants into fabric and paper

Description: The problem of investigating the possibilities of direct design transfer from plant to fabric and paper was divided into two parts. The first part is concerned with the exploration of the mechanics of the transfer. The second part of the problem is concerned with the exploration of the design possibilities of the medium.
Date: August 1968
Creator: Safford, Gayle Grisham
Partner: UNT Libraries

An analysis of Brahms' Quintet in B minor, op. 115, for clarinet and strings

Description: Although many volumes concerning the life and works of Johannes Brahms have been written, it has been found that the majority of these writings treat the material of the subject in a rather poetic and romanticized fashion. This is especially unfortunate in those volumes where the works of Brahms are analyzed with pragmatic implications, since Brahms himself eschewed the use of extramusical elements in his composition. This investigation, therefore, is an attempt to present a careful analysis of one of these compositions, the Quintet in B Minor, Op. 115, for clarinet and string quartet.
Date: January 1968
Creator: Graham, Jack E. (Jack Eldon)
Partner: UNT Libraries