Summary: | 博士 === 淡江大學 === 電機工程學系博士班 === 93 === In this thesis, inverse scattering of a biaxial complex cylinder which is buried in half space and three layers structure is investigated. Dielectric cylinders of unknown permittivities are buried in one space and scatter a group of unrelated waves incident from another space where the scattered field is recorded. By proper arrangement of the various unrelated incident fields, the difficulties of ill-posedness and nonlinearity are circumvented, and the permittivity distribution can be reconstructed through simple matrix operations. For theoretical formulation, based on the boundary condition, a set of integral equations is derived and solved by the moment method as well as the unrelated illumination method. Numerical results show that the permittivity tensor distribution of the materials can be successfully reconstructed even when the permittivity is fairly large. Good reconstruction is obtained even in the presence of additive Gaussian noise in measured data. In addition, the effect of noise on the reconstruction result is also investigated.
|