1 Integral Representations for Fields. - 1. 1 Preamble. - 1. 2 Dyadic Calculus. - 1. 3 The Free-space Dyadic Green's Function in R3. - 1. 4 The Franz Representation for an Interior Problem in R3. - 1. 5 The Franz Representations for Scattered Fields in R3. - 1. 6 The Stratton-Chu Representation in R3. - 1. 7 The Helmholtz Representation for Acoustic Fields. - 1. 8 Volume Scattering: The Born Approximation. - 1. 9 Rellich's Uniqueness Theorem. - 2 Polarization. - 2. 1 Preliminary. - 2. 2 Representation of Polarization. - 2. 3 Stokes Vector for a Monochromatic Electric Field. - 2. 4 Change of Polarization Basis. - 2. 5 Superposition of Circularly Polarized Waves. - 2. 6 Coherency Matrix for Quasi-Monochromatic Waves. - 2. 7 Degree of Polarization. - 2. 8 Decomposition of Partially Polarized Waves. - 3 Scattering Matrix. - 3. 1 Scattering and Polarization Geometries. - 3. 2 Equivalent Induced Surface Current Densities. - 3. 3 Scattering-and Reflection-Coefficient Matrices. - 3. 4 The Reciprocity Relation for $$ \mathop{S}\limits^{ = } (k{{\Omega }_{2}}|k{{\Omega }_{1}}) $$. - 3. 5 Backscatter from Large Smooth and Convex Scatterers. - 3. 6 The Method of Stationary Phase. - 4 Optimal Polarizations. - 4. 1 A Short Historical Sketch. - 4. 2 Scattering Geometry and the S-matrix in Backscatter. - 4. 3 Optimal Polarizations in Backscatter. - 4. 4 Polarizations for Co-Pol Nulls. - 4. 5 Polarizations for Cross-Pol Nulls. - 4. 6 Optimal Polarization in Bistatic Scattering. - 4. 7 A Compact Representation in V4. - 5 Scattering from Moderately Rough Surfaces. - 5. 1 Problem Formulation. - 5. 2 Gaussian Statistics. - 5. 3 ?mn(?x?y) in Terms of the Correlation Function. - 5. 4 Radar Cross Section in Bistatic Scattering. - 6 Scattering from a Stratified Medium. - 6. 1 Scattering Geometry. - 6. 2 Free-space Dyadic Green's Function. - 6. 3 Dyadic Green'sFunctions. - 6. 4 Backscattered Field. - 7 Review of Potential Theory. - 7. 1 Preliminary. - 7. 2 Single-layer Potential. - 7. 3 Double-layer Potential. - 7. 3. 1 Direct Value. - 7. 3. 2 Boundary Values. - 7. 4 Conjugate Double-layer Potential. - 7. 5 Normal Derivative of a Double-layer Potential. - 7. 6 Tangential Derivatives. - 8 Fredholm Alternative. - 8. 1 Algebraic Alternative. - 8. 2 Fredholm Alternative. - 8. 3 Examples. - 9 Integral Equation Method. - 9. 1 Preamble. - 9. 2 Basic Concepts. - 9. 3 Exterior Dirichlet Problem. - 9. 4. Exterior Neumann Problem in R2. - 9. 5 Electromagnetic Scattering in R2. - 9. 6 Summary. - 9. 7 Linear Combination Technique. - 9. 8 Electromagnetic Scattering in R3. - 9. 9 Simple Numerical Examples. - 10 Exterior Resonant Frequencies. - 10. 1 Basic Concept. - 10. 2 Adaptation of the Gurjuoy-Saxon Approach. - 10. 3 Exterior Resonant Frequencies of a Sphere and a Cylinder. - 10. 4 Via the Integral Equation Method. - 10. 5 Scattering Operator in Electromagnetic Scattering. - 10. 6 Dyadic Absorption Operator. - 10. 7 Forward Scattering Theorem. - A Diagonalization of an S-matrix. - B A Deficient System of Equations. - C Reflection-coefficient Matrix. - D Statistical Averages. - D. 1 One-dimensional Case. - D. 2 Two-dimensional Case. - D. 3 Three-dimensional Case. - E The Cauchy Integral and Potential Functions. - F Decomposition of a Plane Wave. Language: English