title: Numerical solution of inverse scattering for near-field optics.
abstract: A novel regularized recursive linearization method is developed for a two-dimensional inverse medium scattering problem that arises in near-field optics, which reconstructs the scatterer of an inhomogeneous medium located on a substrate from data accessible through photon scanning tunneling microscopy experiments. Based on multiple frequency scattering data, the method starts from the Born approximation corresponding to weak scattering at a low frequency, and each update is obtained by continuation on the wavenumber from solutions of one forward problem and one adjoint problem of the Helmholtz equation.
authors.affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, USA. bao@math.msu.edu
authors.forename: Gang
authors.initials: G
authors.lastname: Bao
authors.forename: Peijun
authors.initials: P
authors.lastname: Li
mesh_terms: D000465:Algorithms; D003460:Crystallization; D005583:Fourier Analysis; D008027:Light; D015233:Models, Statistical; D008962:Models, Theoretical; D055095:Optics and Photonics; D017785:Photons; D012542:Scattering, Radiation; D013053:Spectrophotometry; D013696:Temperature; D013816:Thermodynamics