Imaging Through a Wall With Corrugated Surfaces

Through-the-wall imaging for a wall with corrugated surfaces is introduced. For this purpose, linear sampling as a fast qualitative method is exploited. The method uses the background Green's function that is derived based on the extended boundary condition method (EBCM) and Floquet theory. The method is very efficient in handling walls with shallow corrugated surfaces. For deeply corrugated walls, the Green's function is modified due to the ill-conditioned matrices arising in the EBCM. This is addressed by using the truncated singular value decomposition technique. Several examples are presented to quantitatively demonstrate the ability of the method in imaging through the wall with slightly and very rough interfaces.