Topic/Type: 1.4 Accelerators & Beams, Poster

### 3D Particle-in-cell simulation of spatial autoresonance electron beam motion

Eduardo A. Orozco, Valeriy D. Dugar-Zhabon

Universidad Industrial de Santander , A. A. 678, Bucaramanga, COL

Relativistic dynamics of an electron beam which is accelerated by a circular polarized stationary electromagnetic wave in an axis symmetric steady magnetic field under the cyclotron resonance conditions is studied. The profile of an inhomogeneous magnetic field is chosen such as to maintain the beam electrons in the space cyclotron autoresonance regime [1,2]. The magnetic field in particle positions is found through a bilinear interpolation of the data calculated for the computer mesh nods. The electric potentials produced by the beam particles is found out by simulating of the Poisson equation under the Dirichlet boundary conditions through the rapid Fourier transform technique [3]. The autoconsistent electric field values in the particle positions are deduced by using a trilinear interpolation beginning with the mesh node potential data. The beam trajectory and its energy evolution are obtained by solving the Newton-Lorentz equation through employing the particle-in-cell method and Boris leap-frog procedure [4,5]. The calculated results suggest that the no-relativistic electron beam injected along the axis-symmetric magnetic field can be accelerated up to energies higher than 500 keV by the $\small TE_{11p}$ (P = 1,2,3) microwave fields of 6 kV/cm amplitude on a frequency range of (0.10 - 2.45) GHz. The influence of the autoconsistent field on the space autoresonance conditions is also analyzed.

[1] V. D. Dugar-Zhabon, E. A. Orozco and A. M. Umnov, Phys. Rev. ST-AB, 11, 041302 (2008).

[2] V. D. Dugar-Zhabon and E. A. Orozco, Phys. Rev. ST-AB, 12, 041302 (2009).

[3] R. Fitzpatrick, Computational Physics: An introductoty course, (Texas University, 2006), pp.191-193, 202-204.

[4] C. Birdsall and A. Langdon, Plasma Physics Via Computer Simulation, (Bristol and Philadelphia: Institute of Physics Publishing, 1991), pp. 19-22, 310-320,356.

[5] R. Hockney and J. Eastwood, Computer Simulation Using Particles. (Bristol and Philadelphia: Institute of Physics Publishing, 1988), pp.26-28, 111-114,222-225.