Theory of Particle Optics

• Coulomb’s Law
• Laplace Equation
• Poisson Equation
• Neumann Boundary Condition
• Dirichlet Boundary Conditions
• First Uniqueness Theorem
• Lorentz Force Law
• SIMION Specific
• Biot-Savart Law
• Maxwell Equations
• Gauss’s Law
• Earnshaw’s Theorem
• See Also
• Mobility Equation
• Pseudopotential
• See Also
• Particle Optics Links
  • System Comparisons
  • System Overviews
  • Theory
  • Components
  • General
• Emittance
  • Overview
  • Computing Emittance in SIMION
  • Defining a Beam with a Given Emittance
  • See Also
• Transfer Matrix
  • SIMION-specific
  • References
• Paraxial Approximation
  • See Also
• Monte Carlo Method
  • SIMION-Specific
  • Other Tips
    • Rotation
• Thermionic Cathode
  • Theory
  • SIMION-Specific
  • See Also
• Field Emission
  • Simulation
  • CPO
  • See Also
• Mathieu Equation and Stability Diagram
  • SIMION specific
• (Mass) Spectrum
• Electric Arc
• See Also
• Light Optics
  • SIMION-specific
• See Also
• Fast Fourier Transform (FFT)
  • See Also