1. Preliminaries
1.1 Electromagnetic theory
1.2 Vector spaces
1.3Sobolev spaces
1.4 Variational form for boundary value problems
1.5 Finite element method
2. Diffractive optics
2.1 Introduction
2.2 Grating geometry and fundamental polarizations
2.3 Perfectly conducting grating
2.4 Grating formula
2.5 Dielectric grating
2.6 Variational method
2.7 Finite element approximation
3. Cavity scattering
3.1 Introduction
3.2 Problem formulation
3.3 TE polarization
3.4 TM polarization
3.5 Overfilled cavity
4. Obstacle scattering
4.1 Introduction
4.2 Green's representation theorem
4.3 Boundary integral equations