Reconstruction algorithm for impenetrable rough surface profile under Neumann boundary condition

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Tarih

2022-05-24

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor and Francis Ltd.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, an algorithm to reconstruct one-dimensional impenetrable rough surface from the knowledge of scattering field is presented. The rough surface is considered as locally perturbed and the scattering field data are collected above the roughness in a simple non-magnetic medium considering Neumann boundary condition. First, the surface integral equation constituted via the Neumann boundary condition is solved and scattering field data are observed synthetically. Then, the same surface integral equation together with the data equation are solved in an iterative fashion to reconstruct the surface variation. In the numerical implementation, the so-called ill-posed inverse problem is regularized with Tikhonov method and a least-squares solution is obtained by using Gaussian-type basis function. Finally, numerical examples are carried out to illustrate effectiveness of the method.

Açıklama

Anahtar Kelimeler

Boundary conditions, Electromagnetic scattering, Field data, Integral equations, Inverse problems, Inverse scattering, Inverse-scattering, Inverse scattering problem, Iterative methods, Least squares approximations, Neumann boundary condition, Newtons method, Newton's methods, Numerical methods, Numerical simulation, One-dimensional, Reconstruction algorithms, Rough surface, Rough surfaces, Scattering field, Sintegral-equation, Surface scattering, Surface integral equations, Surface measurement, Surface profiles, Surface reconstruction

Kaynak

Journal of Electromagnetic Waves and Applications

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

36

Sayı

8

Künye

Sefer, A. & Yapar, A. (2021). Reconstruction algorithm for impenetrable rough surface profile under Neumann boundary condition. Journal of Electromagnetic Waves and Applications, 36(8), 1154-1172. doi:10.1080/09205071.2021.2009381