## Microwave tomography based on solution of electromagnetic inverse medium scattering problems

W. Rachowicz,

**Microwave tomography based on solution of electromagnetic inverse medium scattering problems**The paper presents a study of solution of inverse medium scattering problems in 3D time-harmonic electromagnetics. The solution is based on minimization of the mismatch function between the observed scattered fields and trial solutions of direct problems for some approximate distribution of electric permittivity to be found. The sources of illuminating waves and the observation points of the scattered fields are located at a finite (and small) distance from the scatterer.

The simulations of the direct problems are performed with the Finite Element Method. Application of adaptive mesh refinement to improve accuracy of solutions is illustrated. Tests with real- and complex-valued distributions of electric permittivity, and with complete and incomplete measurement data are presented.

The technique might be applied to generate 3D images of scattering objects displaying their internal structure (understood as distribution of electric material properties). Such a primitive microwave tomography might serve as a tool to examine protruding parts of a human body as a breast or a limb. Its resolution would be of rather moderate quality if compared to standard medical tools but it would be harmless and inexpensive. Therefore it might be useful for mass sreening and for early detection of the decease.