Single-frequency subsurface remote sensing via a non-cooperative source

Subsurface Detection of Shallow Targets by Undersampled Multifrequency Data and a Non-Cooperative Source

“…The present paper is a development of the approach already presented in [26], where we adopted a different point of view and introduced a reconstruction scheme that allows to avoid the need for synchronization and, hence, the direct link blind effect as well. This approach is strictly connected to the particular scenario we are interested in, where the targets are assumed buried in close proximity to the air/soil interface (i.e., a few centimeters beneath the air/soil interface just to hide them from sight), as for mine [27] or unexploded improvised device [28] detection.…”

“…According to [26], the scattered field is modeled as being radiated by equivalent surface currents supported at the air/soil interface (or at some reference plane above the target), which indeed retain information about the existence and the transverse location of the buried targets. Moreover, imaging is cast as a 2D inverse problem which is computationally convenient.…”

“…The paper is organized as follows. In Section 2 the scattering model introduced in [26] is briefly recalled. Section 3 is devoted to the study of the properties of the scattering operator in order to find the NDF and to highlight how the number and the positions of the receiving sensors affect the spatial resolution.…”

Shape Reconstruction via Equivalence Principles,constrained Inverse Source Problems and Sparsity Promotion

“…(5) takes inspiration from the one suggested in [38] for the synthesis of sparse reconfigurable arrays, and it is instead deeply different from what is usually done in Bayesian based approaches, which take into account the expected relations among correlated information by means of a probabilistic framework [21]. Also note that the approach is deeply different from other inverse source based imaging techniques such as [39,40]. In fact, in the latter the results of the different inverse source problems are somehow merged a posteriori, whereas we enforce congruity amongst the different currents from the beginning, by defining a unique function B.…”

“…As a final comment, it is worth to note that, as in other inverse source based imaging procedures (see for example [39,40]), the approach does not require an exact knowledge of the incident fields.…”