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Title: Numerical study of grating-assisted optical diffraction tomography

Abstract

We study the resolution of an optical diffraction tomography system in which the objects are either in an homogeneous background or deposited onto a glass prism, a prism surmounted by a thin metallic film or a prism surmounted by a metallic film covered by a periodically nanostructured dielectric layer. For all these configurations, we present an inversion procedure that yields the map of the relative permittivity of the objects from their diffracted far field. When multiple scattering can be neglected, we show that the homogeneous, prism, and metallic film configurations yield a resolution about {lambda}/4 while the grating substrate yields a resolution better than {lambda}/10. When Born approximation fails, we point out that it is possible to neglect the coupling between the object and the substrate and account solely for the multiple scattering within the objects to obtain a satisfactory reconstruction. Last, we present the robustness of our inversion procedure to noise.

Authors:
; ;  [1]
  1. Institut Fresnel (UMR 6133), Universite d'Aix-Marseille I and III, Avenue Escadrille Normandie-Niemen, F-13397 Marseille Cedex 20 (France)
Publication Date:
OSTI Identifier:
21011310
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 76; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.76.013814; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; BORN APPROXIMATION; CONFIGURATION; COUPLING; DIELECTRIC MATERIALS; DIFFRACTION; DIFFRACTION GRATINGS; GRATINGS; IMAGE PROCESSING; MULTIPLE SCATTERING; NANOSTRUCTURES; NOISE; NUMERICAL ANALYSIS; PERIODICITY; PERMITTIVITY; PRISMS; RESOLUTION; SUBSTRATES; THIN FILMS; TOMOGRAPHY

Citation Formats

Chaumet, Patrick C., Belkebir, Kamal, and Sentenac, Anne. Numerical study of grating-assisted optical diffraction tomography. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.013814.
Chaumet, Patrick C., Belkebir, Kamal, & Sentenac, Anne. Numerical study of grating-assisted optical diffraction tomography. United States. doi:10.1103/PHYSREVA.76.013814.
Chaumet, Patrick C., Belkebir, Kamal, and Sentenac, Anne. 2007. "Numerical study of grating-assisted optical diffraction tomography". United States. doi:10.1103/PHYSREVA.76.013814.
@article{osti_21011310,
title = {Numerical study of grating-assisted optical diffraction tomography},
author = {Chaumet, Patrick C. and Belkebir, Kamal and Sentenac, Anne},
abstractNote = {We study the resolution of an optical diffraction tomography system in which the objects are either in an homogeneous background or deposited onto a glass prism, a prism surmounted by a thin metallic film or a prism surmounted by a metallic film covered by a periodically nanostructured dielectric layer. For all these configurations, we present an inversion procedure that yields the map of the relative permittivity of the objects from their diffracted far field. When multiple scattering can be neglected, we show that the homogeneous, prism, and metallic film configurations yield a resolution about {lambda}/4 while the grating substrate yields a resolution better than {lambda}/10. When Born approximation fails, we point out that it is possible to neglect the coupling between the object and the substrate and account solely for the multiple scattering within the objects to obtain a satisfactory reconstruction. Last, we present the robustness of our inversion procedure to noise.},
doi = {10.1103/PHYSREVA.76.013814},
journal = {Physical Review. A},
number = 1,
volume = 76,
place = {United States},
year = 2007,
month = 7
}
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