Numerical Simulation Of A 3D Virtual
Cathode Oscillator
Author(s)
F. Assous
Abstract
The design of microwave devices requires the interaction of electromagnetic fields
to be simulated with charged particle flow with high accuracy. The methods
involved have to be, in particular, well adapted to the geometrical complexity of
real devices, especially to take into account the 3-D effects.We have investigated a
numerical method for solving the 3-D time dependent Vlasov-Maxwell equations
in the relativistic case, on unstructured meshes.We present some numerical results
obtained by simulating a three-dimensional virtual cathode system, and compare
the resulting high power microwave radiation with a theoretical estimation.
Keywords: computer simulation, finite element, particle method; vircator.
1 Introduction
The numerical modelling in plasma physics as well as in microwave devices or
accelerator technology, requires in some cases a full three-dimensional code for
the resolution of the Vlasov-Maxwell equations, handling the time domain and
well adapted to arbitrary complex geometries.
The Vlasov problem consists in determining the charged particle distribution
function in the six-dimensional phase space (x, p), where x denotes the particle
position, and p the momentum. This is achieved by a particle method. For computing
the solution of Maxwell’s equations, the first and probably most popular
method was introduced by Yee [1], and is straightforward to implement in simple
cases. However, despite its efficiency, as soon as the domain geometry becomes
too complex, we have to use the flexibility of unstructured meshes to approximate
complex geometries and to achieve local refinements.
Keywords
computer simulation, finite element, particle method; vircator.
Related Book
Other papers in this volume
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