Mikhail Gilman, PhD

NCSU, Mathematics, SAS 3210

Radar Imaging group

We study radar imaging technology, in particular - synthetic aperture radar (SAR), using analytical tools, simulations, and Machine Learning. Check out our flyer.

Book

M. Gilman, E. Smith, and S. Tsynkov, Transionospheric Synthetic Aperture Imaging. Birkhäuser, xxiii+458pp., 2017. See reviews in:

Journal articles and book chapters

Remote sensing

  1. V. Chidara, M. Gilman, R. Sah, and S. Tsynkov. Detection of dispersive targets in synthetic aperture radar images with the help of deep learning. Communications on Analysis and Computation, DOI: 10.3934/cac.2024012 (2024), https://www.aimsciences.org/article/doi/10.3934/cac.2024012.
  2. M. Gilman and S. Tsynkov. Modeling the Earth's Ionosphere by a Phase Screen for the Analysis of Transionospheric SAR Imaging. IEEE Transactions on Geosciences and Remote Sensing, vol. 62 (2024), pp. 1-16, https://doi.org/10.1109/TGRS.2023.3335146.
  3. M. Gilman and S. Tsynkov. Transionospheric autofocus for synthetic aperture radar. SIAM Journal on Imaging Sciences, vol. 16, No. 4 (2023), pp. 2144-2174, https://doi.org/10.1137/22M153570X.
  4. M. Gilman and S. Tsynkov. Vertical autofocus for the phase screen in a turbulent ionosphere. Inverse Problems, vol. 39, No. 4, (2023), pp. 045001 (36pp), https://doi.org/10.1088/1361-6420/acb8d6.
  5. M. Gilman and S. Tsynkov. Polarimetric radar interferometry in the presence of differential Faraday rotation. Inverse Problems, vol. 38, No. 4, (2022), pp. 045010 (28pp), http://iopscience.iop.org/article/10.1088/1361-6420/ac5525.
  6. M. Gilman and S. Tsynkov. A mathematical perspective on radar interferometry. Inverse Problems & Imaging, vol. 16, No. 1 (2022), pp. 119-152.
  7. M. Gilman and S. Tsynkov. Divergence Measures and Detection Performance for Dispersive Targets in SAR. Radio Science, vol. 56, No. 1 (2021), pp. e2019RS007011 (17pp), https://doi.org/10.1029/2019RS007011.
  8. J. Lagergren, K. Flores, M. Gilman, and S. Tsynkov. Deep learning approach to the detection of scattering delay in radar images. Journal of Statistical Theory and Practice, vol. 15, No. 1 (2021), Paper No. 14.
  9. M. Gilman and S. Tsynkov. Statistical characterization of scattering delay in synthetic aperture radar imaging. Inverse Problems and Imaging, vol. 14, No. 3 (2020) pp. 511-533.
  10. M. Gilman and S. Tsynkov. Detection of delayed target response in SAR. Inverse Problems, vol. 35, No. 8 (2019), 085005 (38 pp).
  11. M. Gilman and S. Tsynkov. Differential Faraday rotation and polarimetric SAR. SIAM Journal on Applied Mathematics, vol. 78, No. 3 (2018), pp. 1422-1449.
  12. M. Gilman and S. Tsynkov. Mathematical Analysis of SAR Imaging through a Turbulent Ionosphere, in: Application of Mathematics in Technical and Natural Sciences: 9th International Conference - AMiTaNS'17, Michail D. Todorov, ed., American Institute of Physics Conference Proceedings, 1895 (2017), 020003 (23pp).
  13. M. Gilman and S. Tsynkov. A mathematical model for SAR imaging beyond the first Born approximation. SIAM Journal on Imaging Sciences, 2015, v. 30, no. 1, pp. 186–225.
  14. M. Gilman, E. Smith, and S. Tsynkov. Single-polarization SAR imaging in the presence of Faraday rotation. Inverse Problems, 30 (2014), 075002 (27pp).
  15. M. Gilman, E. Smith, and S. Tsynkov. Reduction of ionospheric distortions for spaceborne SAR with the help of image registration Inverse Problems, 29 (2013), 054005 (35pp).
  16. M. Gilman, E. Smith, and S. Tsynkov. A Linearized Inverse Scattering Problem for the Polarized Waves and Anisotropic Targets. Inverse Problems, 28 (2012), 085009 (38pp).
  17. M.A. Gilman, S.Yu, Sadov, A.S. Shamaev, and S.I. Shamaev. Radar Sensing of Sea Surface: Some Problems of Numerical Simultaion of Scattering of Electromagnetic Waves, review, Radiotechnics and Electronics, 2000, v. 45, sp. issue no. 2, pp. 229–246.
  18. M.A. Gilman. Bispectrum and Analysis of the Statistics of Electromagnetic Waves Backscattered by Sea Surface. Journal of Computer and System Sciences International, 1997, v. 36, no. 6, pp. 972–980.
  19. M.A. Gilman, A.G. Mikheev, T.L. Tkachenko. The Two-scale Model and Other Methods For the Approximate Solution of the Problem of Diffraction by Rough Surfaces. Journal of Computational Mathematics and Mathematical Physics, 1996, v. 36, no. 10, pp. 1429–1442.
  20. M.A. Gilman, A.V. Kirgetov, A.G. Mikheev, T.L. Tkachenko, A.S. Shamaev. Methods and Algorithms for Processing and Identification of Radar Images of the Ocean Surface. Journal of Computer and System Sciences International, 1996, v. 34, no. 6, pp. 155–175.

Oceanography

  1. Soloviev, A., S. Matt, M. Gilman, H. Huhnerfuss, B. Haus, D. Jeong, I. Savelyev, M. Donelan, 2011: Modification of turbulence at the air-sea interface due to the presence of surfactants and implications for gas exchange. Part I: laboratory experiment. In: Gas Transfer at Water Surfaces, Kyoto University Press, pp. 245–258.
  2. Gilman, M., A. Soloviev, and H. Graber. Study of Far Wake of A Large Ship. Journal of Atmospheric and Oceanic Technology, Journal of Atmospheric and Oceanic Technology, 2011, v. 28, pp. 720–733.
  3. Soloviev, A., Gilman, M., Young, K., Brusch, S., and Lehner, S. Sonar Measurements in Ship Wakes Simultaneous With TerraSAR-X Overpasses. IEEE Transactions on Geoscience and Remote Sensing, 2010, v. 48, no. 2, pp. 841–851.

Plasma Physics

  1. R. Bingham, V. D. Shapiro, V. N. Tsytovich, U. de Angelis, M. Gilman, and V. I. Shevchenko, Theory of wave activity occurring in the AMPTE artificial comet, Physics of Fluids B, 1991, v.3, No.7, pp. 1728–1738.
  2. M. Gilman and A. Khrabrov. Nonlinear Dynamics of the Cyclotron Instability of a Fast Ion Beam. Sov. J. of Plasma Physics, 1987, v. 13, no. 12, pp. 824–828.
REVISED FEBRUARY 2022