Book/Internal Report PUBDB-2015-02072

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Periodic Poisson Solver for Particle Tracking

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2015

Red Report 33 p. ()  GO

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Report No.: DESY-15-071; arXiv:1505.01330

Abstract: A method is described to solve the Poisson problem for a three dimensional source distribution that is periodic into one direction. Perpendicular to the direction of periodicity a free space (or open) boundary is realized. In beam physics, this approach allows to calculate the space charge field of a continualized charged particle distribution with periodic pattern. The method is based on a particle mesh approach with equidistant grid and fast convolution with a Greens function. The periodic approach uses only one period of the source distribution, but a periodic extension of the Greens function. The approach is numerically efficient and allows the investigation of periodic- and pseudo-periodic structures with period lengths that are small compared to the source dimensions, for instance of laser modulated beams or of the evolution of micro bunch structures. Applications for laser modulated beams are given.


Note: OA

Contributing Institute(s):
  1. Beschleunigerphysik (MPY)
Research Program(s):
  1. 631 - Accelerator R & D (POF3-631) (POF3-631)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2015
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Periodic Poisson Model for Beam Dynamics simulation
Physical review accelerators and beams 19(3), 034401 () [10.1103/PhysRevAccelBeams.19.034401]  GO DBCoverage  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2015-05-11, last modified 2021-11-10


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