Nonlinear inverse scattering and three-dimensional near-field optical imaging

George Y. Panasyuk; Vadim A. Markel; P. Scott Carney; John C. Schotland

doi:10.1063/1.2396921

Nonlinear inverse scattering and three-dimensional near-field optical imaging

George Y. Panasyuk, Vadim A. Markel, P. Scott Carney, John C. Schotland

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Abstract

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.

Original language	English (US)
Article number	221116
Journal	Applied Physics Letters
Volume	89
Issue number	22
DOIs	https://doi.org/10.1063/1.2396921
State	Published - 2006
Externally published	Yes

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Physics and Astronomy (miscellaneous)

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10.1063/1.2396921

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title = "Nonlinear inverse scattering and three-dimensional near-field optical imaging",

abstract = "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.",

author = "Panasyuk, {George Y.} and Markel, {Vadim A.} and {Scott Carney}, P. and Schotland, {John C.}",

note = "Funding Information: This work was supported by the NSF Grant No. DMR 0425780 to one of the authors (J.C.S.) and by the Air Force MURI Grant No. F49620-03-1-0379 to another author (P.S.C.).",

year = "2006",

doi = "10.1063/1.2396921",

language = "English (US)",

volume = "89",

journal = "Applied Physics Letters",

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AU - Panasyuk, George Y.

AU - Markel, Vadim A.

AU - Scott Carney, P.

AU - Schotland, John C.

N1 - Funding Information: This work was supported by the NSF Grant No. DMR 0425780 to one of the authors (J.C.S.) and by the Air Force MURI Grant No. F49620-03-1-0379 to another author (P.S.C.).

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

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Nonlinear inverse scattering and three-dimensional near-field optical imaging

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