Appendix: The Laplace Transform
The Laplace transform is a powerful method that can be used to solve differential
equation, and other mathematical problems. Its strength lies in the fact that it allows the
transformation of a differential equation to an a
Chapter 8.
Radiation from Moving Charges
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 12 and
14, and Rybicki and Lightman, Chap. 4.
In this chapter, we will be using Gaussian units for the Maxwell equations and other
Chapter 7.
Covariant Formulation of Electrodynamics
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 11, and
Rybicki and Lightman, Chap. 4.
Starting with this chapter, we will be using Gaussian units for the Maxwell equat
Chapter 6.
Radiating Systems
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 9, and
Rybicki and Lightman, Chap. 3.
6.1 Radiation from a Localized Oscillating Source
Since any function, say ! ( x, t ) of position and time
Chapter 5.
Wave Propagation
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 7, and
Choudhuri, Chap. 12, 13, and 14.
5.1 Plane Waves in a Non-conducting Medium
In cases where there are no sources (i.e., ! = J = 0 ), Maxwe
Chapter 4.
Electromagnetism and Maxwells Equations
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 6.
4.1 Maxwells Displacement Current
Of the four equations derived so far
!"D = #
!"B = 0
!$H= J
!$E=%
(4.1)
&B
&t
the th
Chapter 3.
Magnetostatics
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 5.
3.1 Introduction
Just as the electric field vector E is the basic quantity in electrostatics, the magnetic-flux
density or magnetic induction B
Chapter 2.
Electrostatic II
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 2, 3, and
4, and Di Bartolo, Chap. 2.
2.1 Mathematical Considerations
2.1.1 The Fourier series and the Fourier transform
Any periodic signal g (
Chapter 1.
Electrostatics I
Notes:
Most of the material presented in this chapter is taken from Jackson, Chap. 1.
Units from the Systme International (SI) will be used in this chapter.
1.1 Mathematical Considerations
1.1.1 Diracs delta function (distribut