Panasyuk, George Y
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Publication Phaseless Three-Dimensional Optical Nanoimaging(2009-11-16) Govyadinov, Alexander A.; Panasyuk, George Y; Schotland, John CWe propose a method for optical nanoimaging in which the structure of a three-dimensional inhomogeneous medium may be recovered from far-field power measurements. Neither phase control of the illuminating field nor phase measurements of the scattered field are necessary. The method is based on the solution to the inverse scattering problem for a system consisting of a weakly-scattering dielectric sample and a strongly-scattering nanoparticle tip. Numerical simulations are used to illustrate the results.Publication Nonlinear Inverse Scattering and Three-Dimensional Near-Field Optical Imaging(2006-11-29) Panasyuk, George Y; Markel, Vadim A; Schotland, John C; Carney, P. ScottThe 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.