JAMP  Vol.5 No.9 , September 2017
Conceptual Design of Beam Tube of 300 KeV Electron Electrostatic Accelerator
Abstract: The column of electron electrostatic accelerator is one of the critical components in electrostatic accelerator. The geometrical design of such accelerator must be as such that in the case of applying voltage to its electrodes, not only should its equipotential surfaces and its gradient accelerate the beam particles up to desired energy, but also it should focus the beam and hinder broadening of energy distribution of accelerated particles. The immersed electrodes in the field are, geometrically, perpendicular to optical axis around the medial plane. Numerous models that can be used in the distribution of axial potential, have been presented and linear model, analytical model, double-column electrode model and polynomial electrode model are among them. In this paper, series expansions based on Bessel functions is used to obtain the axial potential distribution of immersed accelerator electrodes in double-electrode field and it is then compared to the mentioned models by solving the final equation via the least square method. Finally, by using CST Studio software and the information we obtained from the axial potential, the column of electron accelerator with its energy distribution and its optimal electron output beam radius is designed and simulated.
Cite this paper: Karanian, S. , Mogaddam, R. , Seifnouri, E. and Amiri, M. (2017) Conceptual Design of Beam Tube of 300 KeV Electron Electrostatic Accelerator. Journal of Applied Mathematics and Physics, 5, 1763-1775. doi: 10.4236/jamp.2017.59149.

[1]   Cartelli, D., Thatar Vento, V., Castell, W., Dipaolo, H., Kesque, J. M., Bergueiro, J., et al. (2011) Accelerator Tube Construction and Characterization for Tandem-Electrostatic-Quadrupole for Accelerator Based Boron Neutron Capture Therapy. Applied Radiation and Isotopes, 69, 1680-1683.

[2]   Brown, T.A. and Gillespie, G.H. (2000) Optics Elements for Modeling Electrostatic Lenses and Accelerator Components: III. Electrostatic Deflectors. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 172, 338-343.

[3]   Moore, J.H., Davis, C.C., Coplan M.A. and Greer, S.C. (2009) Building Scientific Apparatus. 4th Edition, Camdridge University Press, New York, 629 p.

[4]   Imhof, R.E. and Read, F.H. (1968) A Three-Aperture Electron Optical Lens for Producing an Image of Variable Energy But Fixed Position. Journal of Physics E, 1, 859-860.

[5]   Lee, S.Y. (2004) Accelerator Physics. 2nd Edition, World Scientific Publishing Co. Pte. Ltd, Singapore, 575 p.

[6]   Toivanen, V., Kalvas, T., Koivisto, H., Komppula, J. and Tarvainen, O. (2013) Double Einzel Lens Extraction for the JYFL 14GHzECR Ion Source Designed with IBSimu. Journal of Instrumentation, 8, 1-19.

[7]   Heddle, D.W.O. (2000) Electrostatic Lens Systems. 2nd Edition, IOP, London, 127 p.

[8]   Syms, R.R.A., Michelutti, L. and Ahmad, M.M. (2003) Two-Dimensional Microfabricated Electrostatic Einzel Lens. Sensors and Actuators A, 107, 285-295.

[9]   Reiser, M. (2008) Theory and Design of Charged Particle Beams. Wiley-Vclt, Weinhein.

[10]   Read, F.H. (1969) Calculated Properties of Electrostatic Einzel Lenses of Three Apertures. Journal of Physics E, 2, 679-684.

[11]   Szilagyi (1987) Electrostatic Spline Lenses. Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, 5, 273-278.

[12]   Szilagyi, M. (1988) Electron and Ion Optics. 5th Edition, Plenum Press, New York, 539 p.

[13]   Lanczos, C. (2013) Applied Analysis. Dover Publications, New York.

[14]   Szilagyi, M. (1986) Relativistic Trajectory Equations for Charged Particle S in General Orthogonal Curvilinear Coordinates. Applied Physics Letters, 49, 740-742.

[15]   Read, F.H. (1969) Accurate Calculations of Double-Aperture Electrostatic Immersion Lenses. Journal of Physics E, 2, 165-169.

[16]   Leveneur, J. and Markwitz, A. (2008) Introduction to Simion 7. GNS 1, 23 p.

[17]   Read, F.H., Adams, A. and Soto-Montiel, J.R. (1971) Electrostatic Cylinder Lenses: Two Element Lenses. Journal of Physics E, 4, 625-632.