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Analytical and Computational Methods in Electromagnetics

  • Basic Principles of Electromagnetic Theory
    • Maxwell’s Equations
    • Constitutive Relations
    • Electrical Properties of the Medium
    • Interface and Boundary Conditions
    • Skin Depth
    • Poynting Vector and Power Flow
    • Image Currents and Equivalence Principle
    • Reciprocity Theorem
    • Differential Equations in Electromagnetics
    • Electric and Magnetic Vector Potentials
    • Wave Types and Solutions
    • Phase Velocity, Dispersion, and Group Velocity
    • Characteristics of Transmission Lines
    • Charge and Current Singularities
    • Classification of Methods of Analysis
    • Mathematical Framework in Electromagnetics
    • Overview of Analytical and Computational Methods
  • Analytical Methods and Orthogonal Functions
  • Green’s Function
  • Contour Integration and Conformal Mapping
  • Fourier Transform Method
  • Introduction to Computational Methods
  • Method of Finite Differences
  • Finite-Difference Time-Domain Analysis
  • Variational Methods
  • Finite Element Method
  • Method of Moments
  • Appendix A
    • Solution Methods for the Set of Simultaneous Equations
  • Appendix B
    • Evaluation of Singular Integrals