Title :
Monte Carlo simulation of a nonlaminar DC beam including the influence of self-fields
Author_Institution :
Imatron Inc., San Francisco, CA, USA
Abstract :
We present a method to simulate the transport of a nonlaminar DC beam under the influence of self-fields. The simulation randomly populates an initial phase space distribution with n particles. These particles are propagated in steps through the transport region, and the particle positions at each step are used in an unbinned maximum likelihood fit for the beam profile distribution. The self-fields at the position of each particle are calculated using the fitted beam profile distribution. The total computation required by the simulation scales linearly with n. The simulation for an electron beam with a phase space given by the Kapchinskij-Vladimirskij distribution is in good agreement with the beam profile predicted by the Kapchinskij-Vladimirskij envelope equations
Keywords :
Monte Carlo methods; electron beams; electron optics; maximum likelihood estimation; particle beam dynamics; Kapchinskij-Vladimirskij distribution; Kapchinskij-Vladimirskij envelope equations; Monte Carlo simulation; electron beam; maximum likelihood; nonlaminar DC beam; phase space distribution; self-fields; Computational modeling; Electron beams; Electron optics; Electrostatics; Equations; Magnetic fields; Particle beam optics; Particle beams; Predictive models; Space charge;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.751293
