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

Appl. Phys. Lett. 89, 221116 (2006); doi:10.1063/1.2396921

Published 29 November 2006

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George Y. Panasyuk
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104

Vadim A. Markel
Department of Radiology, University of Pennsylvania, Philadelphia, Pennsylvania 19104

P. Scott Carney
Beckman Institute and Department of Electrical & Computer Engineering, University of Illinois, Urbana, Illinois 61801

John C. Schotland
Department of Bioengineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104
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. ©2006 American Institute of Physics
History: Received 18 September 2006; accepted 16 October 2006; published 29 November 2006
Permalink: http://link.aip.org/link/?APPLAB/89/221116/1
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KEYWORDS and PACS

Keywords
PACS
  • 87.63.Lk
    Visible radiation: diaphanography, transillumination, laser imaging in medicine
  • 42.25.Fx
    Optical diffraction and scattering
  • 42.30.Wb
    Image reconstruction; tomography
  • YEAR: 2006

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PUBLICATION DATA

ISSN:
0003-6951 (print)   1077-3118 (online)
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