Analytic and numeric perturbation techniques approach for the solution of electromagnetic wave problems Elektromanyetik dalga yayılım ve saçılım problemlerine analitik ve sayısal pertürbasyon teknikleri ile çözüm yaklaşımı

Date

2023-01-01

Author

Akkaya, Murat Koray
YILMAZ, ASIM EGEMEN
Kuzuoğlu, Mustafa

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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.

Subject Keywords

Monte Carlo, Non Dİmensionalization, Perturbation, Spatial transformation

URI

https://hdl.handle.net/11511/106300

Collections

Department of Electrical and Electronics Engineering, Article