2019-03-15
Determining Real Permittivity from Fresnel Coefficients in GNSS-R
By
Progress In Electromagnetics Research M, Vol. 79, 159-166, 2019
Abstract
Global Navigation Satellite System Reflectometry (GNSSR) can be used to derive information about the composition or the properties of ground surfaces, by analyzing signals emitted by GNSS satellites and reflected from the ground. If the received power is measured with linearly polarized antennas, under the condition of smooth surface, the reflected signal is proportional to the modulus of the perpendicular and parallel polarization Fresnel coefficients, which depend on the incidence angle θ, and on the dielectric constant ε of the soil. In general, ε is a complex number; for non-dispersive soils, the imaginary part of ε can be neglected, and a real value of ε is sought. We solve the real-valued problem explicitly giving formulas that can be used to determine the dielectric constant ε and we compare the analytical solution with experimental data in the case of sand soil.
Citation
Patrizia Savi, Silvano Bertoldo, and Albert Milani, "Determining Real Permittivity from Fresnel Coefficients in GNSS-R," PIER M, Vol. 79, 159-166, 2019.
doi:10.2528/PIERM18120708
References

1. Jin, S., E. Cardellach, and F. Xie, GNSS Remote Sensing: Theory, Methods and Applications, Springer, 2014.
doi:10.1007/978-94-007-7482-7

2. Zavorotny, V. U. and A. G. Voronovich, "Scattering of GPS signals from the ocean with wind remote sensing application," IEEE Transactions on Geoscience and Remote Sensing, Vol. 38, No. 2, 951-964, March 2000.
doi:10.1109/36.841977        Google Scholar

3. Wiehl, M., B. Legrésy, and R. Dietrich, "Potential of reflected GNSS signals for ice sheeet remote sensing," Progress In Electromagnetics Research, Vol. 40, 177-205, 2003.
doi:10.2528/PIER02102202        Google Scholar

4. Alonso-Arroyo, A., V. U. Zavorotny, and A. Camps, "Sea ice detection using U.K. TDS-1 GNSS-R data," IEEE Transactions on Geoscience and Remote Sensing, Vol. 55, No. 9, 4989-5001, 2017.
doi:10.1109/TGRS.2017.2699122        Google Scholar

5. Masters, D., A. Penina, and S. Katzberg, "Initial results of land-reflected GPS bistatic radar measurements in SMEX02," Remote Sensing of Environment, Vol. 92, No. 4, 507-520, 2004.
doi:10.1016/j.rse.2004.05.016        Google Scholar

6. Ban, W., K. Yu, and X. Zhang, "GEO-satellite-based reflectometry for soil moisture estimation: Signal modeling and algorithm development," IEEE Transactions on Geoscience and Remote Sensing, Vol. 56, No. 3, 1829-1838, 2018.
doi:10.1109/TGRS.2017.2768555        Google Scholar

7. Pierdicca, N., A. Mollfulleda, F. Costantini, L. Guerriero, L. Dente, S. Paloscia, E. Santi, and M. Zribi, "Spaceborne GNSS reflectometry data for land applications: An analysis of techdemosat data," International Geoscience and Remote Sensing Symposium (IGARSS), 3343-3346, Valencia, Spain, July 22–27, 2018.        Google Scholar

8. Li, W., A. Rius, F. Fabra, E. Cardellach, S. Ribó, and M. Martín-Neira, "Revisiting the GNSS-R waveform statistics and its impact on altimetric retrievals," IEEE Transactions on Geoscience and Remote Sensing, Vol. 56, No. 5, 2854-2871, 2018.
doi:10.1109/TGRS.2017.2785343        Google Scholar

9. Mashburn, J., P. Axelrad, S. T. Lowe, and K. M. Larson, "Global ocean altimetry with GNSS reflections from TechDemoSat-1," IEEE Transactions on Geoscience and Remote Sensing, Vol. 56, No. 7, 4088-4097, July 2018.
doi:10.1109/TGRS.2018.2823316        Google Scholar

10. Cardellach, E., et al. "GNSS Transpolar Earth Reflectometry exploriNg System (G-TERN): Mission concept," IEEE ACCESS, Vol. 6, 13980-14018, 2018, DOI: 10.1109/ACCESS.2018.2814072.
doi:10.1109/ACCESS.2018.2814072        Google Scholar

11. Katzberg, S., O. Torres, M. Grant, and D. Masters, "Utilizing calibrated GPS reflected signals to estimate soil reflectivity and dielectric constant: Results from SMEX02," Remote Sensing of Environment, Vol. 100, 17-28, 2005.        Google Scholar

12. Egido, A., M. Caparrini, G. Ruffini, S. Paloscia, E. Santi, L. Guerriero, N. Pierdicca, and N. Floury, "Global navigation satellite systems reflectometry as a remote sensing tool for agriculture," Remote Sensing, Vol. 4, 2356-2372, 2012.
doi:10.3390/rs4082356        Google Scholar

13. Yu, K., C. Rizos, D. Burrage, A. G. Dempster, K. Zhang, and M. Markgraf, "An overview of GNSS remote sensing," EURASIP Journal on Advances in Signal Processing, 2014-2034, 2014.        Google Scholar

14. Pei, Y., R. Notarpietro, P. Savi, and F. Dovis, "A fully software GNSS-R receiver for soil monitoring," International Journal of Remote Sensing, Vol. 35, No. 6, 2378-2391, 2014.        Google Scholar

15. Stutzman, W. L., Polarization in Electromagnetic Systems, Artech House, 1993.

16. Wang, J. and T. Schmugge, "An empirical model for the complex dielectric permittivity of soils as a function of water content," IEEE Transactions on Geoscience and Remote Sensing, Vol. 18, No. 4, 288-295, 1980.
doi:10.1109/TGRS.1980.350304        Google Scholar

17. Hallikainen, A. and F. Ulaby, "Microwave dielectric behavior of wet soil - Part 1: Empirical models and experimental observations," IEEE Transactions on Geoscience and Remote Sensing, Vol. 23, No. 1, 25-34, Jan. 1985.
doi:10.1109/TGRS.1985.289497        Google Scholar

18. Roo, R. D. and F. Ulaby, "Bistatic specular scattering from rough dielectric surfaces," IEEE Transactions on Antennas and Propagation, Vol. 42, No. 2, 220-231, 1994.
doi:10.1109/8.277216        Google Scholar

19. Pierdicca, N., L. Guerriero, M. Brogioni, and A. Egido, "On the coherent and non coherent components of bare and vegetated terrain bistatic scattering: Modelling the GNSS-R signal over land," Proc. IEEE Int. Geosci. Remote Sens. Symp., 3407-3410, Munich, Germany, July 22–27, 2012.        Google Scholar

20. Savi, P. and A. Milani, "Real-valued solutions to an inverse Fresnel problem in GNSS-R," Inernational Geoscience and Remote Sensing Symposium (IGARSS2018), 3327-3330, Valencia, Spain, July 22–27, 2018.        Google Scholar

21. Jia, Y., P. Savi, D. Canone, and R. Notarpietro, "Estimation of surface characteristics using GNSS LH-reflected Signals: Land versus water," IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol. 9, No. 10, 4752-4758, Oct. 2016.
doi:10.1109/JSTARS.2016.2584092        Google Scholar