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.
© 2007 Optical Society of America
Original Manuscript: February 28, 2007
Manuscript Accepted: March 21, 2007
Published: May 2, 2007
Vol. 2, Iss. 7 Virtual Journal for Biomedical Optics
Gang Bao and Peijun Li, "Numerical solution of inverse scattering for near-field optics," Opt. Lett. 32, 1465-1467 (2007)