LORENTZ

Bending Magnet Showing Focusing Effect

LORENTZ is an easy-to-use solver for analyzing charged particle trajectories in the presence of electric and magnetic fields.

Applications include:

• Charged Particle Trajectories

  • Ion mobility spectroscopy
  • Ion traps
  • Ion mass spectrometers
  • Time of flight
  • Deflector plates
  • Microchannel plates
  • Multipaction
  • Photomultiplier tubes

• Charged Particle Beams

  

            Einzel lens

  • Electron guns
  • Ion guns
  • Ion implanters
  • Nanotube field emitters
  • Sputtering sources
  • X-ray
  • Ion propulsion

• Beam Optics

  • Focusing electrodes
  • Steering magnets
  • Electron microscopes
  • Multipole beamline magnets

Download LORENTZ brochures:

• Lorentz Product Sheet
• 2D/3D Beam Optics and Charged Particle Trajectory Analysis Software

 
Request your LORENTZ evaluation

LORENTZ Features:

• Compute lens focusing properties, lens aberrations, beam emittance and space charge
• Full Secondary Emissions for calculating the probalistic change of an electron being emitted, reflected or rediffused when impacting a surface defined as a secondary emitter.
• Select from various emission regimes including: Fowler-Nordheim, Child's Law, Richardson-Dushman, Schottky and Extended Schottky
• Tubes method for space charge generates its own mesh for use in the space charge effect calculations, with no mesh required in free space. Users are not required to assign elements and create a mesh as they go along.
• Emittance calculations can be defined on any cross-sectional line or plane. After an emittence is calculated a Phase Space Plot can be displayed in the software's AutoGraph as a scatter plot with the local origin at the centre of the grid.
• Mechanical Forces allow the effects of gravity or any Stokes forces on a particle with a defined radius to be analyzed. For example, a water droplet can be examined with the effects of air, rather than in a perfect vacuum.
• Characteristic Mobility Coefficient, rather than a Stokes force based calculations, calculates particle velocity using mobility, greatly accelerating the calculation process.
• Display results with graphs, animations, and contour or arrow plots

 
Ask for a live, interactive Internet demonstration of LORENTZ

             Gridded ion source

LORENTZ Field Solver Options:

The LORENTZ trajectory solver is an add-on menu for our standard 2D/RS & 3D EM field solvers. The list below shows some LORENTZ options and the base field analysis module:

Static & low frequency:

• LORENTZ2D-E: ELECTRO

• LORENTZ3D-E: COULOMB

• LORENTZ2D-M: MAGNETO

• LORENTZ3D-M: AMPERES

High Frequency (significant wavelength effects)

• LORENTZ-HF: SINGULA

• There is more on the following page about LORENTZ HF

Coupled Solver

• It is possible to combine field solvers so that (for example) both electric and magnetic fields are used (LORENTZ2D-EM & LORENTZ3D-EM).

In all versions of LORENTZ, it is also possible to read in your own field data to either add to or to use instead of our simulated fields.

 
Watch LORENTZ videos

Technical Papers:

Ion Source Modeling with Lorentz 2D

Trajectories in an Axial Field Magnetron

Charged Particle Optics

Examination of a Design Aid that Simulates Ion Mobility

System requirements and recommendations