Spectral Method for 3-dimensional Poisson's Equation in Cylindrical Coordinates with Regular Boundaries
نویسنده
چکیده
Method of calculation of 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. Efficiency and accuracy of the method are discussed. Suggested method is effective in multidimensional problems of study of intense charged-particle beams. Presented at 2001 Particle Accelerator Conference, Chicago, Illinois, 18-22 June 2001 ____________________________________________________ Work supported by the Department of Energy contract DE-AC03-76SF00515 SPECTRAL METHOD FOR 3-DIMENSIONAL POISSON'S EQUATION IN CYLINDRICAL COORDINATES WITH REGULAR BOUNDARIES* Yuri K. Batygin Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309, USA Abstract Method of calculation of 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. Efficiency and accuracy of the method are discussed. Suggested method is effective in multidimensional problems of study of intense chargedparticle beams.
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