volume | PIER Journals

Abstract

Conventional Far-field decomposition of the scattered electromagnetic (EM) field in the [EH] plane in terms of the horizontal and vertical components (i.e., h, v), introduces ambiguity for multi-static, multi-platform and/or scene-centric polarimetric synthetic aperture radar (SAR) image exploitation. This is due to the fact that a 2-dimensional (2D) vector field can not constitute a complete space capable of modeling 3-dimensional (3D) field transformations. To address this, extension of the Stokes vector, target scattering vectors and coherency parameters' analytic descriptions to 3D is explored and presented. The results are also applicable to compact polarimetry (CP) where mathematically consistent 3D Stokes parameters can be defined.

1. Cloude, S. R. and E. Pottier, "A review of target decomposition theorems in radar polarimetry," IEEE Trans. Geosci. Remote Sens., Vol. 34, No. 2, 498-518, Mar. 1996.
doi:10.1109/36.485127 Google Scholar

2. Cloude, S. R. and E. Pottier, "An entropy based classification scheme for land applications of polarimetric SARs," EEE Trans. Geosci. Remote Sens., Vol. 35, No. 1, 68-78, Jan. 1997.
doi:10.1109/36.551935 Google Scholar

3. Lee, J. S., M. R. Grunes, T. L. Ainsworth, L. Du, D. L. Schuler, and S. R. Cloude, "Unsupervised classification of polarimetric SAR images by applying target decomposition and complex Wishart distribution," EEE Trans. Geosci. Remote Sens., Vol. 37, No. 5, 2249-2258, Sep. 1999.
doi:10.1109/36.789621 Google Scholar

4. Pottier, E. and J. S. Lee, "Application of the H/A/α polarimetric decomposition theorem for unsupervised classi¯cation of fully polarimetric SAR data based on the Wishart distribution," Proc. CEOS Workshop, 335-340, Toulouse, France, Oct. 26-29, 1999. Google Scholar

5. Cameron, W. L., N. Youssef, and L. K. Leung, "Simulated polarimetric signatures of primitive geometrical shapes," IEEE Trans. Geosci. Remote Sens., Vol. 34, No. 3, 793-803, May 1996.
doi:10.1109/36.499784 Google Scholar

6. Cameron, W. L. and H. Rais, "Conservative polarimetric scatterers and their role in incorrect extensions of the Cameron decomposition," IEEE Trans. Geosci. Remote Sens., Vol. 44, No. 12, 3506-3516, Dec. 2006.
doi:10.1109/TGRS.2006.879115 Google Scholar

7. Cameron, W. L. and H. Rais, "Polarization symmetric scatterer metric space," IEEE Trans. Geosci. Remote Sens., Vol. 47, No. 4, 1097-1107, Apr. 2009.
doi:10.1109/TGRS.2008.2007962 Google Scholar

8. Touzi, R. and F. Charbonneau, "Characterization of target symmetric scattering using polarimetric SARs," IEEE Trans. Geosci. Remote Sens., Vol. 40, No. 11, 2507-2516, Nov. 2002.
doi:10.1109/TGRS.2002.805070 Google Scholar

9. Touzi, R., "Target scattering decomposition in terms of roll-invariant target parameters," IEEE Trans. Geosci. Remote Sens., Vol. 45, No. 1, 73-84, Jan. 2007.
doi:10.1109/TGRS.2006.886176 Google Scholar

10. Touzi, R., A. Deschamps, and G. Rother, "Phase of target scattering for wetland characterization using polarimetric C-band SAR," IEEE Trans. Geosci. Remote Sens., Vol. 47, No. 9, 3241-3261, Sep. 2009.
doi:10.1109/TGRS.2009.2018626 Google Scholar

11. Vyplavin, P. I., K. A. Lukin, and N. N. Kolchigin, "Imaging with a noise SAR in the near-filed of the source," Telecommunications and Radio Engineering, Vol. 66, No. 17, 1521-1531, 2007.
doi:10.1615/TelecomRadEng.v66.i17.10 Google Scholar

12. Cloude, S. R., "Lie groups in electromagnetic wave propagation and scattering," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 7, 947-974, 1992. Google Scholar

13. Schwinger, J., Classical Electrodynamics, Perseous Books, MA, 1998.

14. Tai, C. T., Generalized Vector and Dyadic Analysis, IEEE Press, 1992.

15. Raney, R. K., "Hybrid-polarity SAR architecture," IEEE Trans. Geosci. Remote Sens., Vol. 45, No. 11, 3397-3404, Nov. 2007.
doi:10.1109/TGRS.2007.895883 Google Scholar

16. Raney, R. K., "Dual-polarized SAR and Stokes parameters," IEEE Geosci. Remote Sens. Lett., Vol. 3, No. 3, 317-319, Jul. 2006.
doi:10.1109/LGRS.2006.871746 Google Scholar

17. Souyris, J.-C. and S. Mingot, "Polarimetry based on one transmitting and two receiving polarizations: The pi/4 mode," Proc. IGARSS, 629-631, Toronto, ON, Canada, Jun. 24-28, 2002. Google Scholar

18. Souyris, , J.-C., P. Imbo, R. Fjortoft, S. Mingot, and J.-S. Lee, "Compact polarimetry based on symmetry properties of geophysical media: The π/4 mode," IEEE Trans. Geosci. Remote Sens., Vol. 43, No. 3, 634-646, Mar. 2005.
doi:10.1109/TGRS.2004.842486 Google Scholar

19. Collin, R. E., Antennas and Radiowave Propagation, McGraw-Hill, 1985.

20. Bell, D. C. and R. M. Naryanan, "Theoretical aspects of radar imaging using stohastic waveforms," IEEE Trans. on Signal Processing,, Vol. 49, No. 2, 394-400, 2001.
doi:10.1109/78.902122 Google Scholar

21. Theron, I. P., E. K. Walton, and S. Gunawan, "Compact range radar cross-section measurements using a noise radar," IEEE Trans. Antennas Propagat., Vol. 46, 1285-1288, 1998.
doi:10.1109/8.719971 Google Scholar

22. Jakowatz, C. V., et al. "Spotlight-Mode Synthetic Aperture Radar: A Signal Processing Approach," Kluwer, 1996. Google Scholar

Dr. Ramin Sabry