Electromagnetic Inverse Profiling

Introduction General introduction DIRECT SCATTERING FREQUENCY-DOMAIN TECHNIQUES Introduction Scattering by a homogeneous, lossy dielectric slab: singularity expansion method Appendix: Influence of the conductivity on the location of the poles Scattering by an inhomogeneous, lossy dielectric slab: singularity expansion method Appendix: The natural modes of a symmetric Epstein layer Scattering by an inhomogeneous, lossy dielectric slab in between two homogeneous, lossless half-spaces: Fourier inversion Scattering by a lossy, radially inhomogeneous dielectric circular cylinder: singularity expansion method and Fourier inversion Appendix: Mean-square convergence of the angular Fourier series as a function of and t Scattering by a lossy, radially inhomogeneous dielectric circular cylinder: complementary interpretation of singularity expansion method Appendix: The residue of at a pole Conclusions References TIME-DOMAIN TECHNIQUES Introduction General aspects of the marching-on-in-time method Appendix: A relaxation method for the solution of an ill-conditioned system of linear equations Scattering by an inhomogeneous, lossy dielectric slab Scattering by a perfectly conducting cylinder Appendix: Source representation for two-dimensional electromagnetic-field quantities Appendix: Determination of and its space derivatives Scattering by an inhomogeneous, lossy dielectric cylinder Conclusions References IDENTIFICATION A PRONY-TYPE METHOD Introduction Prony's algorithm Application to a slab signal Conclusions References INVERSE-PROFILING FREQUENCY-DOMAIN TECHNIQUES Introduction General aspects of the one-dimensional inverse-scattering problem The one-dimensional inverse-scattering problem for low contrast and oblique incidence The one-dimensional inverse-scattering problem for a lossless dielectric slab Conclusions References TIME-DOMAIN TECHNIQUES Introduction Born-type iterative procedure with a vacuum as the background medium Appendix: Smoothing procedure Optimization approach Born-type iteractive procedure with the reference medium as the background medium Conclusions References Subject index