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A Comprehensive Error Analysis of Free-Space Techniques for Extracting the Permeability and Permittivity of Materials Using Reflection-Only Measurements

By Raenita A. Fenner and Mili Shah
Progress In Electromagnetics Research M, Vol. 103, 151-159, 2021


The electromagnetic characterization of layered materials is applicable to many different applications. In previous work it has been shown that reflection-only techniques - which vary the underlying structure of the sample stack to obtain two independent measurements - are a variation of a single unifying scheme such that there is a single set of closed-form unifying extraction equations for the electric permittivity and magnetic permeability. In this paper, the error propagation method is applied to this single set of closed-form extraction equations in order to derive an accompanying set of closed-form equations to predict the measurement uncertainty of electric permittivity and magnetic permeability. An error analysis is performed on the layer-shift method, and results are compared to a Monte Carlo simulation to prove the viability of the general error analysis equations.


Raenita A. Fenner and Mili Shah, "A Comprehensive Error Analysis of Free-Space Techniques for Extracting the Permeability and Permittivity of Materials Using Reflection-Only Measurements," Progress In Electromagnetics Research M, Vol. 103, 151-159, 2021.


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