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The nonlinear inverse scattering problem for electromagnetic fields with evanescent components is considered. A solution to this problem is obtained in the form of a functional series expansion. The first term in the expansion corresponds to the pseudoinverse solution to the linearized inverse problem. The higher order terms represent nonlinear corrections to this result. Applications to the problem of three-dimensional optical imaging with subwavelength resolution are described and illustrated with numerical simulations.
Panasyuk, G. Y., Markel, V. A., Carney, P. S., & Schotland, J. C. (2006). Nonlinear Inverse Scattering and Three-Dimensional Near-Field Optical Imaging. Retrieved from https://repository.upenn.edu/be_papers/180
Date Posted: 23 June 2011
This document has been peer reviewed.