Three-dimensional intra-wall characterization with linear inverse scattering algorithm

In this paper, the three-dimensional (3D) intra-wall inspection is cast as a subsurface imaging problem. The region between the front and back boundaries of the wall is imaged using a novel linear inverse scattering algorithm for 3D subsurface imaging. The imaging algorithm is based on first order Born approximation and exploits the halfspace Green´s function. The exploding source model is employed and then the Green´s function is expanded in the spectrum domain to formulate the 3D intra-wall imaging algorithm. The linearization of the inversion scheme and the employment of FFT/IFFT in the imaging formula make the imaging algorithm suitable for several applications pertaining to the diagnostics of large probed domain and allow real-time processing. A numerical result is presented to show the effectiveness and efficiency of the proposed linear inverse scattering algorithm for 3D intra-wall characterization.