media, with application to oblique incidence

Models for materials with nonlinear electromagnetic response are exam-ined. Three simple physical causes for nonlinear behavior are presented: elec-tronic polarization, molecular direction and electrostriction. Some introduc-tory results and approximations for nonlinear, dispersive media are given, such as the phase-matching criterion, Miller’s rule, the Born approximation and the slowly varying amplitude approximation. However, the emphasis is on instantaneously reacting media, i.e., materials with no or negligible mem-ory. For these models, the inverse scattering problem of determining the field dependent permittivity and permeability from the scattered field is solved. ii List of papers This thesis consists of an introduction and the following two papers: • Paper I Reconstruction of nonlinear material properties for homogeneous, isotropi