Abstract
An iterative inversion scheme based on a Newton-like algorithm is suggested for microwave imaging of perfectly conducting bodies by using only propagating modes among angular modes (angular Fourier series coefficients) of scattered fields. However, an important limitation of Newton-like algorithms is that they frequently fail to find a global minimum of the cost function regarding to inverse scattering problem. In this paper, the fairly accurate center position and shape of a scatterer, which are obtained by the characteristics of total number of propagating modes and total scattering cross sections of angular modes respectively, are used to find a global minimum of the cost function. It is numerically shown that these initial values ensure convergence to a global minimum. Further, it is also shown that the iterative inversion procedure using only the propagating modes obtained from multiple incident waves is very insensitive to random noise.
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