On a superalgebraically converging, numerically stable solving strategy for electromagnetic scattering by impedance cylinders

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

doi:10.1007/s10825-017-1073-9

Cited by 3 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Electromagnetic scattering and the behavior of electromagnetic waves in the vicinity of obstacles have always been of crucial importance in science and engineering [1]. Since electromagnetic waves are employed for noninvasive detection, radar applications, antenna design, and characterization of materials and surfaces with different electromagnetic or periodic properties, numerous analytical, numerical, or analytical-numerical approaches have been developed [2][3][4][5][6]. Therefore, apart from the full-wave simulations, new approximate and well-defined methodologies have been proposed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering from 2-D Conducting Objects with Arbitrary Smooth Shape: Complete Mathematical Formulation of the Method of Auxiliary Sources for E-polarized Case

Tabatadze¹,

Karaçuha²,

Zaridze³

2022

PIER M

View full text Add to dashboard Cite

The study investigates the mathematical background of the method of auxiliary sources (MAS) employed in electromagnetic diffraction. Here, the mathematical formulation is developed for E-polarized plane wave diffraction by perfectly conducting two-dimensional objects of arbitrary smooth shape, and the comparison with an analytical and a numerical approach is provided in the numerical part. The results reveal a quite high accuracy among all methods. The importance of the study is to develop the complete mathematical background of MAS for two-dimensional T M -polarized electromagnetic scattering problems by conducting objects. Different from the method of moments (MoM) and other integral equation approaches in electromagnetic scattering problems, here the integral equation resulting from the boundary condition on the scatterer is solved by expanding the current density as orthonormalized Hankel's function with the argument of the distance between the scatterer actual and auxiliary surfaces. The approach can be summarized by that first the sources are shifted inside the scatterer, and second, the boundary condition is employed as the total tangential electric field is zero on the surface and inside the object. Then, such expansion leads to eliminating the singularity problems by shifting the sources from the actual surface.

show abstract

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering from 2-D Conducting Objects with Arbitrary Smooth Shape: Complete Mathematical Formulation of the Method of Auxiliary Sources for E-polarized Case

Tabatadze¹,

Karaçuha²,

Zaridze³

2022

PIER M

View full text Add to dashboard Cite

show abstract

Well-Conditioned Integral Formulations for Oblique Scattering of Electromagnetic Waves from an Infinite PEC Cylinder

Hatipoglu

Dikmen

Sever

et al. 2022

2022 IEEE 2nd Ukrainian Microwave Week (UkrMW)

View full text Add to dashboard Cite

Pulse diffraction by a circular dielectric cylinder

Tabatadze

Drobakhin

Karaçuha

2023

Journal of Electrical Engineering

View full text Add to dashboard Cite

In this article, the periodic pulse diffraction from the circular dielectric object radiated by the horn antenna is investigated and experimental verification is provided. The pulse spectrum with Hamming weight function (Hamming window) form occupies the frequency band of 38 – 52 GHz. The problem is solved using the Method of Auxiliary Sources, and the results of the computer simulation are obtained. The fundamental advantage of the method is to eliminate the singularity problem during the solution of the integral equation obtained by boundary conditions on each scatterer. The comparison is done with the experimental data, which shows good agreement between the simulation outcomes and the experimental ones. The correctness of the determination of the electric size of the object by the analysis of the scattered pulse echo serves as the verification of the approach. The outcomes reveal that less than a 3% deviation is observed between numerical and experimental analysis.

show abstract

On a superalgebraically converging, numerically stable solving strategy for electromagnetic scattering by impedance cylinders

Cited by 3 publications

References 21 publications

Electromagnetic Scattering from 2-D Conducting Objects with Arbitrary Smooth Shape: Complete Mathematical Formulation of the Method of Auxiliary Sources for E-polarized Case

Electromagnetic Scattering from 2-D Conducting Objects with Arbitrary Smooth Shape: Complete Mathematical Formulation of the Method of Auxiliary Sources for E-polarized Case

Well-Conditioned Integral Formulations for Oblique Scattering of Electromagnetic Waves from an Infinite PEC Cylinder

Pulse diffraction by a circular dielectric cylinder

Contact Info

Product

Resources

About