DocumentCode :
1898790
Title :
A new model of the e+e- beam-beam interaction
Author :
Cromer, K.D. ; Norum, B.E. ; Rossmanith, R.
Author_Institution :
Dept. of Phys., Virginia Univ., Charlottesville, VA, USA
Volume :
5
fYear :
1995
fDate :
1-5 May 1995
Firstpage :
2880
Abstract :
A new program to simulate the beam-beam interaction between asymmetric e+ and e- beams is being developed. Beam bunch distributions are expanded in terms of orthogonal basis functions constructed from solutions to the two-dimensional quantum mechanical harmonic oscillator. Including all solutions corresponding to oscillator energies up to the Nth level yields a basis which spans the set of functions composed of a product of a Gaussian times a Hermite polynomial of order N or lower. A consistent and economical description of non-Gaussian beam shapes is thus made possible. In addition, the use of continuous density functions effectively eliminates statistical fluctuations which may arise when beam bunches are modeled by tracking particles. The beam dynamics are encapsulated in matrices which operate on the expansion coefficients of the bunches. These matrices ate computed once for each beam with any given set of basis functions and for any particular accelerator. The evolution of a beam distribution is computed by matrix multiplication
Keywords :
beam handling techniques; colliding beam accelerators; electron accelerators; harmonic oscillators; high energy physics instrumentation computing; matrix multiplication; particle beam dynamics; polynomials; 2D quantum mechanical harmonic oscillator; Gaussian polynomial; Hermite polynomial; asymmetric beams; beam bunch distributions; beam distribution; beam dynamics; computer program; continuous density functions; expansion coefficients; matrix multiplication; orthogonal basis functions; positron+electron beam-beam interaction; statistical fluctuations; Density functional theory; Fluctuations; Oscillators; Particle accelerators; Particle beams; Particle tracking; Polynomials; Power generation economics; Quantum mechanics; Shape;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
Type :
conf
DOI :
10.1109/PAC.1995.505724
Filename :
505724
Link To Document :
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