CHAPTER 1. BASICS OF ELECTROMAGNETICS THEORY
Problems
1.1 For an inhomogeneous, isotropic medium with the complex permittivity and permeability denoted by and , respectively, the second-order partial dierential equations for E and H are given by (1 (
1
E
Chapter 2
1-D Computational Electromagnetics
In this chapter we discuss some typical numerical methods for one dimension. This will familiarize the reader with the computational methods that will be discussed in future chapters for two- and three-dimensio
Chapter 4
Scalar Basis Functions and Application in 2D
In the last few chapters, we use several dierent basis functions with one spatial variable to solve 1-D problems and 2-D surface integral equations. The highest order we have used is linear. In many p
Chapter 5
2-D Finite Element Method
In the previous chapter, scalar volume integral equations have been solved by using the method of moments. In this chapter, we will focus on the nite element method for 2-D scalar problems arising in electromagnetics.
5
Chapter 6
Absorbing Boundary Conditions
As see from the previous chapter, exact 2D radiation boundary conditions can be established on a circle by using cylindrical harmonics, or on a arbitrary surface using the surface integral equation. However, these e
Chapter 6
Absorbing Boundary Conditions
As see from the previous chapter, exact 2D radiation boundary conditions can be established on a circle by using cylindrical harmonics, or on a arbitrary surface using the surface integral equation. However, these e
Chapter 8
Vector Finite Element Method
Previously, 1-D and 2-D scalar nite-element method has been discussed for electromagnetic elds where there is only one non-zero eld component in the governing equations. For example, in the 1-D case, the EM elds are
Chapter 9
Vector Integral Equation Methods
Electromagnetic integral equations are in general vectorial. Only under some special conditions can we reduce these vectorial integral equations into scalar integral equations. For example, the 1-D volume equatio