The present paper deals with the reconstruction of three-dimensional objects from the scattered far-field. The configuration under study is typically the one used in the Optical Diffraction Tomography (ODT), in which the sample is illuminated with various angles of incidence and the scattered field is measured for each illumination. The retrieval of the sample from the scattered field is accomplished numerically by solving the inverse scattering problem. We present herein a fast method for solving the inverse scattering problem based on the Coupled Dipole Method (CDM) and applied it for complex background configuration such as buried objects in a layered medium. Numerical experiments are reported and robustness against the presence of noise in the data is analyzed.

© 2006 Optical Society of America

1. A. Chomik, A. Dieterlen, C. Xu, O. Haeberlé, J. J. Meyer and S. Jacquey, "Quantification in optical sectioning microscopy: a comparison of some deconvolution algorithms in view of 3D image segmentation," J. Opt. 28, 225 (1997). [CrossRef]
2. J. O. Tegenfeldt, O. Bakajin, C.-F Chou, S. S. Chan, R. Austin, W. Fann, L. Liou, E. Chan, T. Duke, E. C. Cox, "Near-field Scanner for Moving Molecules," Phys. Rev. Lett. 86, 1378 (2001). [CrossRef] [PubMed]
3. L. A. Ghebern, J. Hwang, and M. Edidin, "Design and optimization of a near field scanning optical microscope for imaging biological samples in liquid," Appl. Opt. 37, 3574 (1998). [CrossRef]
4. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, Society of Industrial and Applied Mathematics, (2001). [CrossRef]
5. V. Lauer, "New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope," J. Microsc. 205, 165 (2002). [CrossRef] [PubMed]
6. P. S. Carney and J. C. Schotland, "Three-dimensional total internal reflection microscopy," Opt. Lett. 26, 1072 (2001). [CrossRef]
7. P. S. Carney and J. C. Schotland, "Theory of total-internal-reflection tomography," J. Opt. Soc. Am. A 20, 542 (2003). [CrossRef]
8. K. Belkebir, P. C. Chaumet, and A. Sentenac, "Influence of multiple scattering on three-dimensional imaging with optical diffraction tomography," J. Opt. Soc. Am. A. 23, 586 (2006). [CrossRef]
9. K. Belkebir, P. C. Chaumet, and A. Sentenac, "Superresolution in total-internal reflection tomography," J. Opt. Soc. Am. A. 22, 1889 (2005). [CrossRef]
10. P. C. Chaumet, A. Sentenac, and A. Rahmani, "Coupled dipole method for scatterers with large permittivity," Phys. Rev. E 70, 036606 (2004). [CrossRef]
11. A. Rahmani, P. C. Chaumet, and F. de Fornel, "Environment-induced modification of spontaneous emission: Single-molecule near-field probe," Phys. Rev A 63, 023819 (2001). [CrossRef]
12. P. C. Chaumet, K. Belkebir, and A. Sentenac, "Three-dimensional sub-wavelength optical imaging using the coupled dipole Method," Phys. Rev. B,  69, 245405 (2004). [CrossRef]

Appl. Opt.

• L. A. Ghebern, J. Hwang, and M. Edidin, "Design and optimization of a near field scanning optical microscope for imaging biological samples in liquid," Appl. Opt. 37, 3574 (1998). [CrossRef]

J. Microsc.

• V. Lauer, "New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope," J. Microsc. 205, 165 (2002). [CrossRef] [PubMed]

J. Opt.

• A. Chomik, A. Dieterlen, C. Xu, O. Haeberlé, J. J. Meyer and S. Jacquey, "Quantification in optical sectioning microscopy: a comparison of some deconvolution algorithms in view of 3D image segmentation," J. Opt. 28, 225 (1997). [CrossRef]

J. Opt. Soc. Am. A

• P. S. Carney and J. C. Schotland, "Theory of total-internal-reflection tomography," J. Opt. Soc. Am. A 20, 542 (2003). [CrossRef]

J. Opt. Soc. Am. A.

• K. Belkebir, P. C. Chaumet, and A. Sentenac, "Influence of multiple scattering on three-dimensional imaging with optical diffraction tomography," J. Opt. Soc. Am. A. 23, 586 (2006). [CrossRef]
• K. Belkebir, P. C. Chaumet, and A. Sentenac, "Superresolution in total-internal reflection tomography," J. Opt. Soc. Am. A. 22, 1889 (2005). [CrossRef]

Opt. Lett.

• P. S. Carney and J. C. Schotland, "Three-dimensional total internal reflection microscopy," Opt. Lett. 26, 1072 (2001). [CrossRef]

Phys. Rev A

• A. Rahmani, P. C. Chaumet, and F. de Fornel, "Environment-induced modification of spontaneous emission: Single-molecule near-field probe," Phys. Rev A 63, 023819 (2001). [CrossRef]

Phys. Rev. B

• P. C. Chaumet, K. Belkebir, and A. Sentenac, "Three-dimensional sub-wavelength optical imaging using the coupled dipole Method," Phys. Rev. B,  69, 245405 (2004). [CrossRef]

Phys. Rev. E

• P. C. Chaumet, A. Sentenac, and A. Rahmani, "Coupled dipole method for scatterers with large permittivity," Phys. Rev. E 70, 036606 (2004). [CrossRef]

Phys. Rev. Lett.

• J. O. Tegenfeldt, O. Bakajin, C.-F Chou, S. S. Chan, R. Austin, W. Fann, L. Liou, E. Chan, T. Duke, E. C. Cox, "Near-field Scanner for Moving Molecules," Phys. Rev. Lett. 86, 1378 (2001). [CrossRef] [PubMed]

Other

• A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, Society of Industrial and Applied Mathematics, (2001). [CrossRef]

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