In this chapter, we review the electromagnetic theory and concepts used in later chapters. We will start with Maxwell's equations in time harmonic form, followed by boundary conditions. Expressions for energy and power are derived. We then discuss the reciprocity theorem. Vector and scalar potentials are derived. Image principle and the field equivalence principle are presented. Green's functions are discussed with a presentation of dyadic Green's functions for the magnetic current in a waveguide.

Chapter Contents:

• 2.1 Maxwell's equations
• 2.2 Boundary conditions
• 2.3 Energy and power
• 2.4 Reciprocity theorem
• 2.4.1 Source-free region
• 2.4.2 Infinite region or a region bounded by perfect conductors
• 2.5 Vector and scalar potentials
• 2.5.1 Electric vector potential
• 2.6 The image principle
• 2.7 The field equivalence principle
• 2.8 Green's functions
• 2.8.1 Free-space Green's function
• 2.8.2 Dyadic Green's function for the magnetic field of a magnetic current in a rectangular waveguide
• References

Inspec keywords: electromagnetic field theory; Maxwell equations; vectors; Green's function methods

Other keywords: magnetic current; time harmonic form; waveguide; boundary conditions; image principle; reciprocity theorem; vector potentials; field equivalence principle; electromagnetic theory; Maxwell equations; scalar potentials; dyadic Green's functions

Subjects: Mathematical analysis; Maxwell theory: general mathematical aspects; Algebra, set theory, and graph theory; Electromagnetic waves: theory; Electric and magnetic fields; Function theory, analysis; Algebra