title: State-transition-matrix method for inverse scattering in one-dimensional inhomogeneous media.
abstract: This study presents an analytical approach for the electromagnetic characterization of one-dimensional inhomogeneous media. The proposed approach provides the permittivity profile of the medium in terms of the reflection and transmission coefficients. The inverse solution of the permittivity profile is obtained with the help of the state-transition matrix (STM) and its properties, which are presented and proved. The advantage of using this analytic reconstruction technique is its ability to remove complexity and nonlinearity of the inverse problem. Several examples have been considered for validation of the proposed technique and, in each case, quite good agreement has been found between the original and reconstructed profiles. It has been established from the obtained results that when the scattering parameters are combined with the properties of STM, a robust and reliable technique is provided for the electromagnetic characterization of one-dimensional inhomogeneous media.
authors.affiliation: Antenna and Microwave Research Laboratory, School of Electrical Engineering, Iran University of Science and Technology (IUST), Tehran, Iran.
authors.forename: Davoud
authors.initials: D
authors.lastname: Zarifi
authors.affiliation: Antenna and Microwave Research Laboratory, School of Electrical Engineering, Iran University of Science and Technology (IUST), Tehran, Iran.
authors.forename: Mohammad
authors.initials: M
authors.lastname: Soleimani
authors.affiliation: Antenna and Microwave Research Laboratory, School of Electrical Engineering, Iran University of Science and Technology (IUST), Tehran, Iran.
authors.forename: Ali
authors.initials: A
authors.lastname: Abdolali