Author ' s personal copy CEST and MEST : Tools for the simulation of radio frequency electric discharges in waveguides

In this paper we present two software tools for the simulation of electron multiplication processes in radio frequency (RF) waveguides. The electric discharges are caused by the multiplication of a small initial number of electrons. These are accelerated by the RF field and produce new electrons either by collisions with the walls of the waveguide (ripping new electrons from them), or by ionization of the neutral atoms of a gas inside the device. MEST allows simulating the Multipactor effect, a discharge produced in vacuum and generated by the collision of the electrons with the walls. CEST simulates the discharge when in addition a neutral gas is present in the waveguide, at pressures lower than ground levels (often denominated Corona discharge). The main characteristic of both tools is that they implement individual-based, microscopic models, where every electron is individually represented and tracked. In the case of MEST, the simulation is discrete-event, as the trajectory of each electron can be computed analytically. In CEST we use a hybrid simulation approach. The trajectory of each electron is governed by the Langevin stochastic differential equations that take into account a deterministic RF electric force and the random interaction with the neutral atom background. In addition, wall and ionizing collisions are modelled as discrete events. The tools allow performing batches of simulations with different wall coating materials and gases, and have produced results in good agreement with experimental and theoretical data. The different output forms generated at run-time have proven to be very useful in order to analyze the different discharge processes. The tools are valuable for the selection of the most promising coating materials for the construction of the waveguide, as well as for the identification of safe operating parameters. 2008 Elsevier B.V. All rights reserved.

[1]  J. de Lara,et al.  Multipactor prediction for on-board spacecraft RF equipment with the MEST software tool , 2006, IEEE Transactions on Plasma Science.

[2]  Spilios Riyopoulos,et al.  Collisional multipactor inside ambient gas , 2004 .

[3]  Dan Anderson,et al.  Multipactor in low pressure gas , 2003 .

[4]  M. Furman,et al.  Probabilistic Model for the Simulation of Secondary Electron Emission , 2002 .

[5]  Jacques Sombrin,et al.  Hybrid resonant modes of two-sided multipactor and transition to the polyphase regime , 2002 .

[6]  Dan Anderson,et al.  Multipactor suppression in amplitude modulated radio frequency fields , 2001 .

[7]  G. S. Fishman Discrete-Event Simulation : Modeling, Programming, and Analysis , 2001 .

[8]  Desmond J. Higham,et al.  An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations , 2001, SIAM Rev..

[9]  Aldo L. Gilardini,et al.  The radiofrequency breakdown in low pressure argon , 1999 .

[10]  Alexei Zhidkov,et al.  Simulation of the electron runaway in a plasma by Langevin equation , 1998 .

[11]  R. A. Kishek,et al.  Multipactor discharge on a dielectric , 1997, Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167).

[12]  R. Wilhelm,et al.  The transition of a multipactor to a low-pressure gas discharge , 1997 .

[13]  B. H. Crichton,et al.  Gas discharge physics , 1996 .

[14]  E. Somersalo,et al.  Analysis of multipacting in coaxial lines , 1995, Proceedings Particle Accelerator Conference.

[15]  Riemann Theory of the electron distribution function in a Lorentz gas at high E/n0. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[16]  Charles K. Birdsall,et al.  Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms, PIC-MCC , 1991 .

[17]  Philo Taylor Farnsworth,et al.  Television by electron image scanning , 1934 .

[18]  D. Vendera,et al.  Simulations of multipactor-assisted breakdown in radio frequency plasmas , 2008 .

[19]  V. Boria,et al.  MULTICOAX : A SOFTWARE TOOL FOR PREDICTING MULTIPACTOR RF BREAKDOWN THRESHOLD IN COAXIAL AND CIRCULAR WAVEGUIDES , 2005 .

[20]  J. Mosig,et al.  FEST3D - A simulation tool for corona prediction , 2005 .

[21]  F. L. Krawczyk,et al.  Status of multipacting simulation capabilities for SCRF applications , 2001 .

[22]  S. Brown Basic Data of Plasma Physics: The Fundamental Data on Electrical Discharges in Gases , 1967 .

[23]  L. Stenflo Runaway in weakly ionized plasmas , 1966 .