IMAGING OF CYLINDRICAL BODIES BURIED IN A LAYERED HALF-SPACE BOUNDED BY AN IMPEDANCE PLANE

In this paper we address an inverse scattering problem whose aim is to determine the geometrical as well as the physical properties of a cyl indrical body buried in a layered half-space. The half-space is suppos ed to be bounded by a homogeneous impedance plane. The impenetrable im pedance boundary leads to a mathematical problem which is not solvable by the classical techniques based on the Fourier transform. To overco me this difficulty, the resulting system of operator equations is solv ed by using a generalization of the algebraic reconstruction technique (ART). Due to the reflections from both sides of the layers, the body interacts with four plane waves in the spectral domain, which makes t he problem very interesting from both mathematical and practical point s of view. The waves reflected from the impedance boundary cause the d ata collected by measurements to contain more information about the ob ject to be determined.