Reconstruction of the layered media permittivity on the basis of the frequency dependence of the reflection coefficient by minimization method of regularizing functional

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Authors: Avdochenko B. I., Zadorin A. S., Zamotrinskiy V. A., Ilinyh A. A., Kruglov R. S., Litvinov R. V., Shibelgut A. A.

Annotation: In order to restore a one-dimensional continuous profile of the permittivity of underlying surface and top layer of soil with typical scale of heterogeneity 1 cm the method of data handling of radio-waves reflection from half-infinite medium with depth heterogeneous of permittivity have been considered. The basis of the method is regularizing algorithm of the minimization of generalized discrepancy between frequency dependence of the reflection coefficient and its theoretical model. The dependence of the reflection coefficient on frequency into range 0.4–2 GHz has been obtained as results of the direct problem solution. This result has been calculated by means of superposition of the random fluctuations, which simulate the measurement error, on dependence of the reflection coefficient on frequency.