Contour Smoothing for Super-Algebraically Convergent Algorithms of 2-D Diffraction Problems

Tuchkin, Yury A.; Mazlumi, F.; Sever, Emrah; Dikmen, Fatih

doi:10.1109/tap.2022.3142243

Cited by 1 publication

(2 citation statements)

References 14 publications

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“…There are several reasons that researchers focus on the topic such as developing faster converging numerical approaches [18][19][20], employing different boundary conditions [12], [21], and proposing new mathematical perspectives [22][23][24][25]. In [18], near-zero-index objects involved in electromagnetic problems are investigated through a novel surface integral equation formulation.…”

Section: Introductionmentioning

confidence: 99%

“…In [18], near-zero-index objects involved in electromagnetic problems are investigated through a novel surface integral equation formulation. Also, smoothing canonically parametrized contours for super-algebraically convergent algorithms is analyzed in [19]. Besides, the two-dimensional geometries intensively are studied not only for clarifying how the proposed methodologies' convergence is faster but also they are investigated how the electromagnetic wave behave in the vicinity of different boundary conditions or medium and resonances, reflections and radar cross section in such scenarios are examined [5], [12], [21].…”

Section: Introductionmentioning

confidence: 99%

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A fundamental approach: E-polarized electromagnetic wave diffraction by two dimensional arbitrary-shaped objects with impedance boundary condition

Tabatadze

Karaçuha

Zaridze

et al. 2022

Journal of Electrical Engineering

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In the present study, a new methodology in computational electromagnetics is developed for two-dimensional arbitrarily-shaped objects with impedance boundary conditions. The proposed approach investigates the E-polarized electromagnetic diffraction by a two-dimensional object with the Leontovich boundary condition. The scattered electric and magnetic fields are expressed as the convolution integral of the corresponding Green’s function and the current induced on the obstacle surface. After obtaining integral equations by applying the boundary condition, the integral equations are solved as in the case of the method of auxiliary sources (MAS) which is a well-known method in computational electrodynamics. The results are compared with first, different methods such as the method of moments (MoM), orthogonal polynomials (OP), and second, different boundary conditions such as Dirichlet, Neumann, and fractional boundary conditions. Some results are also obtained for the different shape scatterers at some values of the surface impedance.

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