In this thesis, we consider the microwave imaging for reconstructing the material properties of inhomogeneous lossy dielectric cylinders using scattered field data. The scattered field is numerically computed using direct/forward method. The scatterer is an inhomogeneous two-dimensional (2D) arbitrary-shaped cylindrical structure containing impurities at any transverse location. The scatterer is immersed in a known dielectric media (like air, water, saline-water etc). The known surrounding dielectric is used as an observation domain whereas the complex scatterer is used as an investigation domain. Unrelated multi sources are used to illuminate the scatterer at different angles for reconstructing the less erroneous complex permittivity profile. Multi-frequency effect with the noise is addressed during the reconstruction of the complex permittivity profile using numerical simulations.  The objective function as well as the permittivity profile are computed using an inverse scattering method from the corresponding scattered field. The two-dimensional "Lippmann-Schwinger" integral equation for nonlinear inverse-scattering problem is discretized by the method of moment (MoM)