Analytical approach to quasiperiodic beam Coulomb field modeling

2nd Conference on Plasma & Laser Research and Technologies

Rubtsova, I.D.^1

St. Petersburg State University, 7/9 Universitetskaya nab., St.-Petersburg

199034, Russia^1

关键词: Analytical approach;    Analytical formulas;    Fourier-Bessel series;    Functional gradient;    Integral representation;    Optimization method;    Space charge simulations;    Trigonometric polynomial;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/747/1/012074/pdf
DOI  :  10.1088/1742-6596/747/1/012074

来源: IOP

【 摘 要 】

The paper is devoted to modeling of space charge field of quasiperiodic axial- symmetric beam. Particle beam is simulated by charged disks. Two analytical Coulomb field expressions are presented, namely, Fourier-Bessel series and trigonometric polynomial. Both expressions permit the integral representation. It provides the possibility of integro-differential beam dynamics description. Consequently, when beam dynamics optimization problem is considered, it is possible to derive the analytical formula for quality functional gradient and to apply directed optimization methods. In addition, the paper presents the method of testing of space charge simulation code.