Title :
Spectral method for 3-dimensional Poisson´s equation in cylindrical coordinates with regular boundaries
Author :
Batygin, Yuri K.
Author_Institution :
Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
A method of calculation of the space charge field of the beam using an expansion of space charge potential and space charge distribution as Fourier-Bessel series is discussed. Coefficients of series are connected by an algebraic equation, which substantially simplifies solution of the problem. The efficiency and accuracy of the method are discussed. The suggested method is effective in multidimensional problems of study of intense charged particle beams
Keywords :
Fourier series; Poisson equation; particle beam dynamics; space charge; Fourier-Bessel series; charged particle beams; cylindrical coordinates; regular boundaries; three-dimensional Poisson equation; Boundary conditions; Difference equations; Finite difference methods; Linear accelerators; Linear particle accelerator; Multidimensional systems; Particle beams; Poisson equations; Space charge; Testing;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.988013
