- Fundamental Concepts
- Introduction
- Review of EM Theory
- Electrostatic Fields
- Magnetostatic Fields
- 1Time-Varying Fields
- Boundary Conditions
- Wave Equations
- Time-Varying Potentials
- Time-Harmonic Fields
- Classification of EM Problems
- Classification of Solution Regions
- Classification of Differential Equations
- Classification of Boundary Conditions
- Some Important Theorems
- Superposition Principle
- Uniqueness Theorem
- Analytical Methods
- Introduction
- Separation of Variables
- Separation of Variables in Rectangular Coordinates
- Laplace’s Equation
- Wave Equation
- Separation of Variables in Cylindrical Coordinates
- Wave Equation
- Separation of Variables in Spherical Coordinates
- Laplace’s Equation
- Wave Equation
- Some Useful Orthogonal Functions
- Series Expansion
- Poisson’s Equation in a Cube
- Poisson’s Equation in a Cylinder
- Strip Transmission Line
- Practical Applications
- Scattering by Dielectric Sphere
- Scattering Cross Sections
- Attenuation due to Raindrops
- Finite Difference Methods
- Introduction
- Finite Difference Schemes
- Finite Differencing of Parabolic PDEs
- Finite Differencing of Hyperbolic PDEs
- Finite Differencing of Elliptic PDEs
- Band Matrix Method
- Iterative Methods
- Accuracy and Stability of FD Solutions
- Practical Applications I: Guided Structures
- Transmission Lines
- Waveguides
- Practical Applications II: Wave Scattering (FDTD)
- Yee’s Finite Difference Algorithm
- Accuracy and Stability
- Lattice Truncation Conditions
- Initial Fields
- Programming Aspects
- Absorbing Boundary Conditions for FDTD
- Advanced Applications of FDTD
- Periodic Structures
- Antennas
- PSTD Techniques
- Photonics
- Metamaterials
- MEEP
- Finite Differencing for Nonrectangular Systems
- Cylindrical Coordinates
- Spherical Coordinates
- Numerical Integration
- Euler’s Rule
- Trapezoidal Rule
- Simpson’s Rule
- Newton–Cotes Rules
- Gaussian Rules
- Multiple Integration
- Variational Methods
- Moment Methods
- Finite Element Method
- Transmission-Line-Matrix Method
- Monte Carlo Methods
- Method of Lines
- Introduction
- Solution of Laplace’s Equation
- Rectangular Coordinates
- Cylindrical Coordinates
- Solution of Wave Equation
- Planar Microstrip Structures
- Cylindrical Microstrip Structures
- Time-Domain Solution
- Concluding Remarks
- Appendix A: Vector Relations
- Appendix B: Programming in MATLAB
- Appendix C: Solution of Simultaneous Equations
- Appendix D: Computational Electromagnetic Codes