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Real-Valued Solutions to an Inverse Fresnel Problem in GNSS-R

P. Savi,A. Milani

Published 2018 in IEEE International Geoscience and Remote Sensing Symposium

ABSTRACT

Global Navigation Satellite System Reflectometry can be used to derive information about the composition or the properties of ground surfaces, by analyzing GPS signals reflected by the ground. The received power of the signal is proportional to the modulus of the perpendicular and parallel polarization Fresnel coefficients. These coefficients depend on the incidence angle $\theta$, and on the ground's dielectric constant $\varepsilon$, which provides information on the composition and properties of the ground. Thus, one has to solve the inverse problem, consisting of finding the value of $\varepsilon$ from the known value of $\theta$ and the measured values of the Fresnel reflection coefficients. In general, $\varepsilon$ is a complex number; in some cases (e.g., for non-dispersive soils), the imaginary part of $\varepsilon$ can be neglected, and a real value of $\varepsilon$ is sought. We discuss the mathematical solvability of a particular type of inverse Fresnel problem for real unknown $\varepsilon$.

PUBLICATION RECORD

  • Publication year

    2018

  • Venue

    IEEE International Geoscience and Remote Sensing Symposium

  • Publication date

    2018-07-01

  • Fields of study

    Mathematics, Physics, Computer Science, Engineering

  • Identifiers
    DOI 10.1109/IGARSS.2018.8518128
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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