2016-10-27
Investigation of Alignment Errors on Multi-Static Microwave Imaging Based on Frequency-Diverse Metamaterial Apertures
By
Progress In Electromagnetics Research B, Vol. 70, 101-112, 2016
Abstract
We examine the effect of alignment errors on the performance of a frequency-diverse imaging system composed of metamaterial apertures. In a frequency-diverse imaging system, a sequence of distinct radiation patterns, indexed by frequency, provides measurements of the spatial content of a scene. This set of measurements can then be used to obtain a high-fidelity estimate of the scene using computational imaging techniques. As with any computational imaging system, realizing the full potential of the frequency-diverse system requires accurate characterization of the complex radiation patterns. This characterization entails precise knowledge of the locations and orientations of the transmitters and receivers; any discrepancy between the modeled and actual locations will introduce phase error and degrade the quality of image reconstructions. Here, we study the effect of various misalignment errors on the performance of a sparse, bistatic, frequency diverse imaging system and provide an estimate on the levels of error within which the frequency-diverse apertures can reconstruct high quality images. Depending on the misalignment type (i.e., displacement, rotation) and direction the phase error can change significantly. As a result, for instance, we show that the imaging system is significantly less sensitive to cross-range displacement errors than to range displacement errors. We also show that the displacement errors are reduced for larger systems comprising many sub-apertures, due to the reduced averaged phase error. We find the impact of rotational errors is small compared to that of the displacement errors. However, as the sub-aperture size increases, rotational errors become more pronounced, becoming severe for larger sub-apertures with multiple feeds.
Citation
Hayrettin Odabasi, Mohammadreza F. Imani, Guy Lipworth, Jonah Gollub, and David R. Smith, "Investigation of Alignment Errors on Multi-Static Microwave Imaging Based on Frequency-Diverse Metamaterial Apertures," Progress In Electromagnetics Research B, Vol. 70, 101-112, 2016.
doi:10.2528/PIERB16052801
References

1. Sheen, D. M., D. L. McMakin, and T. E. Hall, "Three-dimensional milimeter-wave imaging for concealed weapon detection," IEEE Transactions on Microwave Theory and Techniques, Vol. 49, No. 9, 1581-1592, 2001.
doi:10.1109/22.942570        Google Scholar

2. Nikolova, N. K., "Microwave imaging for breast cancer," IEEE Microwave Magazine, Vol. 12, No. 7, 78-94, 2011.
doi:10.1109/MMM.2011.942702        Google Scholar

3. Wang, Y. and A. E. Fathy, "Advanced system level simulation platform for three-dimensional UWB through-wall imaging SAR using time-domain approach," IEEE Transactions on Geoscience and Remote Sensing, Vol. 50, No. 5, 1986-2000, 2012.
doi:10.1109/TGRS.2011.2170694        Google Scholar

4. Chan, W. L., K. Charan, T. Dharmpal, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, "A single-pixel terahertz imaging system based on compressed sensing," Applied Physics Letters, Vol. 93, No. 12, 121105, 2008.
doi:10.1063/1.2989126        Google Scholar

5. Levy, U., H. C. Kim, C. H. Tsai, and Y. Fainman, "Near-IR demonstration of computer-generated holograms implemented using subwavelength gratings with space-variant orientation," Opt. Letters, Vol. 30, 2089-2091, 2005.
doi:10.1364/OL.30.002089        Google Scholar

6. Watts, C. M., D. Shrekenhamer, J. Montoya, G. Lipworth, J. Hunt, T. Sleasman, S. Krishna, D. R. Smith, and W. J. Padilla, "Terahertz compressive imaging with metamaterial spatial light modulators," Nature Photonics, Vol. 8, No. 8, 605-609, 2014.
doi:10.1038/nphoton.2014.139        Google Scholar

7. Liutkus, A., D. Martina, S. Popoff, G. Chardon, O. Katz, G. Lerosey, S. Gigan, L. Daudet, and I. Carron, "Imaging with nature: Compressive imaging using a multiply scattering medium," Scientific Reports, Vol. 4, 5552, 2014.        Google Scholar

8. Hunt, J., T. Driscoll, A. Mrozack, G. Lipworth, M. Reynolds, D. Brady, and D. R. Smith, "Metamaterial apertures for computational imaging," Science, Vol. 339, No. 6117, 310-313, 2013.
doi:10.1126/science.1230054        Google Scholar

9. Lipworth, G., A. Mrozack, J. Hunt, D. L. Marks, T. Driscoll, D. Brady, and D. R. Smith, "Metamaterial apertures for coherent computational imaging on the physical layer," Journal of the Optical Society of America A, Vol. 30, No. 8, 1603-1612, 2013.
doi:10.1364/JOSAA.30.001603        Google Scholar

10. Hunt, J., J. Gollub, T. Driscoll, G. Lipworth, A. Mrozack, M. Reynolds, D. J. Brady, and D. R. Smith, "Metamaterial microwave holographic imaging system," Journal of the Optical Society of America A, Vol. 31, No. 10, 2109-2119, 2014.
doi:10.1364/JOSAA.31.002109        Google Scholar

11. Lipworth, G., A. Rose, O. Yurduseven, V. R. Gowda, M. F. Imani, H. Odabasi, P. Trofatter, J. Gollub, and D. R. Smith, "Comprehensive simulation platform for a metamaterial imaging system," Appl. Opt., Vol. 54, No. 31, 9343-9353, 2015.
doi:10.1364/AO.54.009343        Google Scholar

12. Yurduseven, O., M. F. Imani, H. Odabasi, J. Gollub, G. Lipworth, A. Rose, and D. R. Smith, "Resolution of the frequency diverse metamaterial aperture imager," Progress In Electromagnetics Research, Vol. 150, 97-107, 2015.
doi:10.2528/PIER14113002        Google Scholar

13. Hand, T. H., J. Gollub, S. Sajuyigbe, D. R. Smith, and S. A. Cummer, "Characterization of complementary electric field coupled resonant surfaces," Appl. Phys. Lett., Vol. 93, 212504, 2008.
doi:10.1063/1.3037215        Google Scholar

14. Wahl, D. E., P. H. Eichel, D. C. Ghiglia, and C. V. Jakowatz, "Phase gradient autofocus-a robust tool for high resolution SAR phase correction," IEEE Transactions on Aerospace and Electronic Systems, Vol. 30, No. 3, 827-835, 1994.
doi:10.1109/7.303752        Google Scholar

15. Ye, W., T. S. Yeo, and Z. Bao, "Weighted least-squares estimation of phase errors for SAR/ISAR autofocus," IEEE Transactions on Geoscience and Remote Sensing, Vol. 37, No. 5, 2487-2892, 1999.
doi:10.1109/36.789644        Google Scholar

16. Li, X., G. Liu, and J. Ni, "Autofocusing of ISAR images based on entropy minimization," IEEE Transactions on Aerospace and Electronic Systems, Vol. 35, No. 4, 1240-1252, 1999.
doi:10.1109/7.805442        Google Scholar

17. Li, J., R. Wu, and V. C. Chen, "Robust autofocus algorithm for ISAR imaging of moving targets," IEEE Transactions on Aerospace and Electronic Systems, Vol. 37, No. 3, 1056-1069, 2001.
doi:10.1109/7.953256        Google Scholar

18. Blacknell, D., A. Freeman, S. Quegan, and I. A. Ward, "Geometric accuracy in airborne SAR images," IEEE Transactions on Aerospace and Electronic Systems, Vol. 25, No. 2, 241-258, 1989.
doi:10.1109/7.18685        Google Scholar

19. Fornaro, G., G. Franceschetti, and S. Perna, "Motion compensation errors: Effects on the accuracy of airborne SAR images," IEEE Transactions on Aerospace and Electronic Systems, Vol. 41, No. 4, 1338-1352, 2005.
doi:10.1109/TAES.2005.1561888        Google Scholar

20. Alvarez, Y., Y. Rodriguez-Vaqueiro, B. Gonzalez-Valdez, and J. A. Martinez-Lorenzo, "Phase error compensation in imaging systems using compressed sensing techniques," IEEE Antennas and Wireless Propagation Letters, Vol. 12, 1574-1577, 2013.
doi:10.1109/LAWP.2013.2293314        Google Scholar

21. Ugur, S. and O. Arikan, "SAR image reconstruction and autofocus by compressed sensing," Digital Signal Processing, Vol. 22, No. 6, 923-932, 2012.
doi:10.1016/j.dsp.2012.07.011        Google Scholar

22. Tian, J., J. Sun, X. Han, and B. Zhang, "Motion compensation for compressive sensing SAR imaging with autofocus," 2011 6th IEEE Conference on Industrial Electronics and Applications, 1564-1567, 2011.        Google Scholar

23. Fromenteze, T., O. Yurduseven, M. F. Imani, J. Gollub, C. Decroze, D. Carsenat, and S. Perna, "Computational imaging using a mode-mixing cavity at microwave frequencies," Appl. Phys. Lett., Vol. 106, 194104, 2015.
doi:10.1063/1.4921081        Google Scholar

24. Sleasman, T., M. F. Imani, J. N. Gollub, and D. S. Smith, "Dynamic metamaterial aperture for microwave imaging," Appl. Phys. Lett., Vol. 107, 204104, 2015.
doi:10.1063/1.4935941        Google Scholar

25. Marks, D. L., J. Gollub, and D. R. Smith, "Spatially resolving antenna arrays using frequency diversity," Journal of the Optical Society of America A, Vol. 33, No. 5, 899-912, 2016.
doi:10.1364/JOSAA.33.000899        Google Scholar

26. Brady, D. J., Optical Imaging and Spectroscopy, Wiley and OSA, 2009.
doi:10.1002/9780470443736

27. Barrett, R., M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. V. Der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, 2nd Ed., SIAM, 1994.
doi:10.1137/1.9781611971538

28. Bioucas-Dias, J. M. and M. A. T. Figueiredo, "A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration," IEEE Transactions on Image Processing, Vol. 16, No. 12, 2992-3004, 2007.
doi:10.1109/TIP.2007.909319        Google Scholar

29. Hunt, J. D., Metamaterials for Computational Imaging, Duke University, 2013.