A Volume Singular Integral Equation Technique for Reconstruction of Complex Permittivity of a Body in a Rectangular Waveguide

The theoretical study outlined in this paper is motivated by the growing interest in microwave imaging in closed microwave systems. We present an original approach to the inverse problem of reconstruction of media parameters (complex permittivity) of a body in a waveguide. The consideration is based on the use of a volume singular integral equation and its reduction to an equation which can be solved, using iterations, both numerically and analytically. This results in determination, for a given single-mode rectangular waveguide, of complex permittivity from the transmission coefficient. The approach also yields the proof of uniqueness of reconstruction of complex permittivity in a rectangular waveguide from the transmission characteristics.