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State-transition-matrix method for inverse scattering in one-dimensional inhomogeneous media
Davoud Zarifi1, Mohammad Soleimani1, Ali Abdolali1
1Antenna and Microwave Research Laboratory, School of Electrical Engineering, Iran University of Science and Technology (IUST), Tehran, Iran.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
Summary
This study introduces an analytical method for electromagnetic characterization of inhomogeneous media using reflection/transmission data. The technique reliably reconstructs permittivity profiles by simplifying inverse problems with state-transition matrix properties.
Area of Science:
- Electromagnetics
- Materials Science
- Applied Physics
Background:
- Electromagnetic characterization is crucial for understanding material properties.
- Inverse problems in electromagnetics often involve complex, nonlinear equations.
- Accurate determination of permittivity profiles in inhomogeneous media is challenging.
Purpose of the Study:
- To present an analytical approach for electromagnetic characterization of 1D inhomogeneous media.
- To determine the permittivity profile using reflection and transmission coefficients.
- To simplify the nonlinear inverse problem for accurate material profiling.
Main Methods:
- Utilizing reflection and transmission coefficients.
- Employing the state-transition matrix (STM) and its properties for inverse solution.
- Developing an analytic reconstruction technique.
Main Results:
- The proposed method successfully reconstructs permittivity profiles of 1D inhomogeneous media.
- Validation through several examples shows good agreement between original and reconstructed profiles.
- The combination of scattering parameters and STM properties provides a robust technique.
Conclusions:
- The analytical approach offers an effective method for electromagnetic characterization.
- The use of STM properties simplifies the inverse problem, enhancing reliability.
- This technique is suitable for characterizing one-dimensional inhomogeneous media accurately.
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