Electromagnetic Scattering

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.- 2.2.1 Classical Method.- 2.2.2 Alternative Method.- 2.2.3 Relationship between (E?, E?) and (Ex, Ey).- 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.- 2.6.1 Spinors, Trace.- 2.6.2 Coherency Matrix.- 2.6.3 Relationship between the Coherency Matrix and the Stokes Vector.- 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.- 4.6.1 Bistatic and Reciprocal Scattering Geometries.- 4.6.2 Bistatic Case.- 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.-