Akademik Veri Yönetim Sistemi
Journal of the Faculty of Engineering and Architecture of Gazi University, cilt.39, sa.1, ss.299-314, 2023 (SCI-Expanded)
In this paper, effect of small deviations in the parameters that appear either in the definition or determination of a physical problem to the resultant calculated value. Within the study, Perturbation theory and Asymptotic Series expansions have been used as mathematical tools. In this work, perturbation theory has been handled in two alternative ways: numerical and analytical. Electromagnetic waves has been dealed extensively. Electromagnetic propagation equation has been nondimensionalised and presented via asymptotic series approach. Spatial Fourier transformation provides singular perturbation application to the equation. Validity of the solution has been investigated. This manuscript also concerns the electromagnetic feature extraction of the multilayered properties by the inverse scattering theory approach. In this work, in order to characterize the unknown or ambiguous part of the structure, random modeling of the parameters was introduced. Monte Carlo methods are used to calculate the resultant randomness effect. The description of any parameter, including thickness, with any probability density function (pdf) to represent nonnegative/bounded/unbounded cases and any combination of all these parameters, is represented in a framework. Skewness and kurtosis values are added to the output structure in order to lead complex analysis on the output descriptions. In this work, depending on the structure or aim of the analysis, the permittivity or the permeability of a layer is randomized. The overall reflection coefficient is calculated via recursive analysis.