Vacuum Electron Devices, Particle Accelerators and More

The SIMULIA simulation portfolio comprises a wide range of solvers, enabling the simulation of devices that operate employing the interaction of free moving particles and electromagnetic fields. This part of the portfolio relies on the well-established technologies provided through CST Studio Suite and Opera.

Charged particle dynamics simulation is essential to analyzing and optimizing a great variety of charged particle devices. The simulation process of a particles life can start with the emission of the particles, the effects of accelerating electrostatic and focusing magnetostatic fields that they are exposed to. In addition, these devices creating external fields are carefully designed using highly accurate static simulation. At very high energies, the relativistic equations of motion must also be considered.

Particle simulation can consider the fields generated by the particles as space charge, which overlays the external electromagnetic fields. The self-electromagnetic fields can introduce a transient component that acts back on the particles. At this point, we require a fully self-consistent Particle-in-Cell simulation.

To reach higher particle energies, the particle beam is exposed to RF-fields. An electron beam can now approach the speed of light, the ultrarelativistic limit. The beam is considered as a current that creates electromagnetic fields, wake fields that can act back on itself or on following beams. Various beam optic devices guide the beam.

CST Studio Suite and Opera include several tools for designing charged particle devices. Besides the typical static and high-frequency solvers, there is the Particle Tracking Solver, the  Electrostatic Particle-in-Cell (Es-PIC) and the standard Particle-in-Cell (PIC) Solver and the Wakefield Solver. These are used to design beamline components from particle sources, to magnets, to cavities, to absorbers.

Particle dynamics simulation is also crucial in the design of vacuum electronics devices. Magnetrons, gyrotrons, klystrons and traveling wave tube amplifiers are among the components that can be designed with CST Studio Suite. Breakdown effects such as multipaction and corona effects can be simulated and, with multiphysics simulation, the thermal and mechanical effects of high-power microwaves can also be taken into account.

Particle Dynamics Applications

Particle Accelerators

Accelerator components

Accelerator components such as cavities or beam position monitors are typically designed with the Eigenmode, Transient or Frequency Domain solvers. However, for the interaction with the beam, the Wakefield solver is an incredibly versatile tool. You can read more about CST Studio Suite solvers here.

A 9-cell cavity of the TESLA accelerator is shown here. The goal is to maintain the electron beam acceleration during the whole propagation of the beam along the accelerator. Radio frequency (RF) power is generated and coupled in to the TESLA cavities to establish these EM fields in the cavities. The electrons passing through the cavities must keep the right phase in relation to the field to maintain acceleration. The electron beam, a strong current by itself, induces high frequency fields and excites modes, the so-called wake fields, while traveling through the cavities. These wake fields could limit or interrupt the acceleration process. The Wakefield solver computes these fields and helps to improve the design of the accelerator components

Beam Optics

Particle accelerators use magnets and electrodes to direct, refine and control the particle beam. Typical beam optics components include magnetic and electrostatic lenses to focus the beam, deflectors to bend and steer the beam, kicker magnets to redirect the beam, and collimators and collectors to safely capture the particles.
The SIMULIA tools Opera and CST Studio Suite have been used to successfully design all types of magnets for accelerators: permanent magnets, DC and AC dipoles, quadrupoles, and higher-order magnets, undulators and solenoids. Particle tracking solvers simulate the motion of particles through the simulated fields, with or without space charge effects.

Opera can simulate both low and high temperature superconductors, including superconducting quench events where a superconducting magnet rapidly transitions to the normal state. It is possible to include multiple species of charged particles, each having user-defined charge and mass.

Wake-Field Simulation > Dassault Systèmes

Particle Dynamics Simulation Resources

Explore the technological advancements, innovative methodologies, and evolving industry demands that are reshaping the world of Particle Dynamics Simulation. Stay a step ahead with SIMULIA. Discover now.

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