Numerical Analysis of Electromagnetic Fields

Universal Concepts for Numerical Analysis of Electromagnetic Field Problems

• Fundamental Concepts of Electromagnetic Field Theory
  • Maxwell’s equations and boundary value problems
    • Potential equations in different frequency ranges
    • Boundary conditions of the interface
    • Boundary value problems
  • Green’s theorem, Green’s functions and fundamental solutions
    • Green’s theorem
    • Vector analogue of Green’s theorem
    • Green’s function.
      • Dirac-delta function
      • Green’s function.
    • Fundamental solutions
  • Equivalent sources
    • Single layer charge distribution
    • Double layer source distributions
    • Equivalent polarization charge and magnetization current
  • Integral equations of electromagnetic fields
    • Integral form of Poisson’s equation
    • Integral equation for the exterior region
• General Outline of Numerical Methods
• Finite Difference Method (FDM)
• Fundamentals of Finite Element Method (FFM)
• Variational Finite Element Method
• Elements and Shape Functions
• Charge Simulation Method (CSM)
• Surface Charge Simulation Method (SSM)
• Boundary Element Method (BEM)
• Moment Methods
• Methods of Applied Optimization
• Optimizing Electromagnetic Devices
  • Introduction
  • General concepts of optimum design
    • Objective function
    • Mathematical expressions of the boundary value problem
    • Optimization methods
    • Categories of optimization
  • Contour optimization
    • Method of curvature adjustment
    • Method of charge redistribution
    • Contour optimization by using non-linear programming