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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 10 — Oct. 1, 2013
  • pp: 1967–1974

Polarization effects in 3D vectorial-induced current reconstructions

Christelle Eyraud, Rodolphe Vaillon, Amélie Litman, Jean-Michel Geffrin, and Olivier Merchiers  »View Author Affiliations

JOSA A, Vol. 30, Issue 10, pp. 1967-1974 (2013)

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In tomography algorithms, the complex amplitude scattering matrix corresponds to the input parameter. When considering 3D targets, the scattering matrix now contains vectorial information. Thus, this scattering matrix might be calculated with various polarization projections. Moreover, when dealing with experimental data, we are almost every time faced with truncated data. We focus here on the impact of selecting parts of the amplitude scattering matrix elements versus others and in particular on the influence of the polarization choices on the imaging results. In order to better apprehend the physical content associated to each polarization term, the study is conducted with a simple vectorial-induced current reconstruction algorithm allowing reconstruction of qualitative maps of the scene. This algorithm is applied on scaled models of aggregates combined with experimental scattered fields acquired in the microwave frequency range.

© 2013 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.6890) Image processing : Three-dimensional image processing
(110.6960) Imaging systems : Tomography
(290.3200) Scattering : Inverse scattering
(290.5820) Scattering : Scattering measurements
(110.5405) Imaging systems : Polarimetric imaging

ToC Category:
Imaging Systems

Original Manuscript: June 3, 2013
Revised Manuscript: August 1, 2013
Manuscript Accepted: August 16, 2013
Published: September 10, 2013

Christelle Eyraud, Rodolphe Vaillon, Amélie Litman, Jean-Michel Geffrin, and Olivier Merchiers, "Polarization effects in 3D vectorial-induced current reconstructions," J. Opt. Soc. Am. A 30, 1967-1974 (2013)

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  1. O. Bucci and T. Isernia, “Electromagnetic inverse scattering: retrievable information and measurement strategies,” Radio Sci. 32, 2123–2137 (1997). [CrossRef]
  2. J.-M. Geffrin, C. Eyraud, A. Litman, and P. Sabouroux, “Optimization of a bistatic microwave scattering measurement setup: from high to low scattering targets,” Radio Sci. 44, RS2007 (2009). [CrossRef]
  3. S. Cloude and E. Pottier, “A review of target decomposition theorems in radar polarimetry,” IEEE Trans. Geosci. Remote Sens. 34, 498–518 (1996). [CrossRef]
  4. A. Roueff, A. Arnaubec, P.-C. Dubois-Fernandez, and Ph. Refregier, “Cramer–Rao lower bound analysis of vegetation height estimation with random volume over ground model and polarimetric SAR interferometry,” IEEE Geosci. Remote Sens. Lett. 8, 1115–1119 (2011). [CrossRef]
  5. S. Bellez, H. Roussel, C. Dahon, J. Castelli, and A. Cheraly, “A full polarimetric bistatic radar imaging experiments on sets of dielectric cylinders above a conductive circular plate,” IEEE Trans. Geosci. Remote Sens. 99, 1–13 (2013). [CrossRef]
  6. M. Mishchenko, L. Travis, and A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002).
  7. O. Merchiers, C. Eyraud, J.-M. Geffrin, R. Vaillon, B. Stout, P. Sabouroux, and B. Lacroix, “Microwave measurements of the full amplitude scattering matrix of a complex aggregate: a database for the assessment of light scattering codes,” Opt. Express 18, 2056 (2010). [CrossRef]
  8. G. Videen, Y. Yatskiv, and M. Mishchenko, “Photopolarimetry in remote sensing,” in Proceedings of the NATO Advanced Study Institute (2003).
  9. C. Eyraud, J.-M. Geffrin, and A. Litman, “3D-aggregate quantitative imaging: experimental results and polarization effects,” IEEE Trans. Antennas Propag. 59, 1237–1244 (2011). [CrossRef]
  10. R. Vaillon, J.-M. Geffrin, C. Eyraud, O. Merchiers, P. Sabouroux, and B. Lacroix, “A new implementation of a microwave analog to light scattering measurement device,” J. Quant. Spectrosc. Radiat. Transfer 112, 1753–1760 (2011). [CrossRef]
  11. O. Merchiers, J.-M. Geffrin, R. Vaillon, P. Sabouroux, and B. Lacroix, “Microwave analog to light scattering measurements on a fully characterized complex aggregate,” Appl. Phys. Lett. 94, 181107 (2009). [CrossRef]
  12. G. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  13. A. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society of Industrial and Applied Mathematics, 2001).
  14. D. Zwillinger, CRC Standard Mathematical Tables and Formulae (Chapman and Hall, 2002).
  15. M. Michshenko, “Calculation of the amplitude matrix for a nonspherical particle in a fixed orientation,” Appl. Opt. 39, 1026–1031 (2000). [CrossRef]
  16. Y. Sung, W. Choi, C. Fang-Yen, K. Badizadegan, R. Dasari, and M. Feld, “Optical diffraction tomography for high resolution live cell imaging,” Opt. Express 17, 266–277 (2009). [CrossRef]
  17. G. Gurg and E. Wolf, “Relation between computed tomography and diffraction tomography,” J. Opt. Soc. Am. A 18, 2132–2137 (2001). [CrossRef]
  18. A. Devaney, Mathematical Foundations of Imaging, Tomography and Wavefield Inversion (Cambridge University, 2012).
  19. J.-M. Geffrin and P. Sabouroux, “Continuing with the Fresnel database: experimental setup and improvements in 3D scattering measurements,” Inverse Probl. 25, 024001 (2009). [CrossRef]
  20. P. M. van den Berg, M. G. Coté, and R. E. Kleinman, “Blind shape reconstruction from experimental data,” IEEE Trans. Antennas Propag. 43, 1389–1396 (1995). [CrossRef]
  21. C. Eyraud, J.-M. Geffrin, P. Sabouroux, P. C. Chaumet, H. Tortel, H. Giovannini, and A. Litman, “Validation of a 3D bistatic microwave scattering measurement setup,” Radio Sci. 43, RS4018 (2008). [CrossRef]
  22. C. Eyraud, J.-M. Geffrin, A. Litman, P. Sabouroux, and H. Giovannini, “Drift correction for scattering measurements,” Appl. Phys. Lett. 89, 244104 (2006). [CrossRef]
  23. W. Wang, J. Li, and F. Niu, “A revisit to the validity of Born approximation in high frequency scattering problems,” Microw. Opt. Technol. Lett. 54, 2792–2797 (2012). [CrossRef]
  24. C. Eyraud, A. Litman, A. Hérique, and W. Kofman, “Microwave imaging from experimental data within a Bayesian framework with realistic random noise,” Inverse Probl. 25, 024005 (2009). [CrossRef]

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