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A 2-D differential surface admittance operator for combined magnetic and dielectric contrast

Dries Bosman (UGent) , Martijn Huynen (UGent) , Daniël De Zutter (UGent) , Hendrik Rogier (UGent) and Dries Vande Ginste (UGent)
(2021) COMPUTERS & MATHEMATICS WITH APPLICATIONS. 102. p.175-186
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Abstract
In this paper, we present a novel technique to accurately model scattering phenomena at two-dimensional circular and rectangular structures consisting of arbitrary homogeneous materials, including magnetic media in particular. The proposed formalism utilizes a differential surface admittance operator, which invokes a single source equivalence theorem to replace the inside material by its surrounding medium, while introducing an equivalent surface current density. The arbitrary magnetic contrast can be combined with an arbitrary electrical conductivity. As such, the skin effect is rigorously taken into account, making our method ideally suited for broadband modeling of good conductors as well. It is demonstrated that an appropriate choice of the basis functions for the discretized problem is critical to obtain a convergent result when magnetic contrast is introduced. The method is analytically validated for the case of a circular cylinder and additional numerical results illustrate the correctness of the technique for (combinations of) rectangular cylinders, through comparison with a Poggio-Miller-Chan-Harrington-Wu-Tsai approach, a volume integral equation method and a commercial solver.
Keywords
SKIN-EFFECT PROBLEMS, INTEGRAL-EQUATION, SERIES IMPEDANCE, FORMULATION, CONDUCTORS, Differential surface admittance operator, Magnetic materials, Boundary, integral equations, Electromagnetic scattering

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MLA
Bosman, Dries, et al. “A 2-D Differential Surface Admittance Operator for Combined Magnetic and Dielectric Contrast.” COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 102, 2021, pp. 175–86, doi:10.1016/j.camwa.2021.10.011.
APA
Bosman, D., Huynen, M., De Zutter, D., Rogier, H., & Vande Ginste, D. (2021). A 2-D differential surface admittance operator for combined magnetic and dielectric contrast. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 102, 175–186. https://doi.org/10.1016/j.camwa.2021.10.011
Chicago author-date
Bosman, Dries, Martijn Huynen, Daniël De Zutter, Hendrik Rogier, and Dries Vande Ginste. 2021. “A 2-D Differential Surface Admittance Operator for Combined Magnetic and Dielectric Contrast.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 102: 175–86. https://doi.org/10.1016/j.camwa.2021.10.011.
Chicago author-date (all authors)
Bosman, Dries, Martijn Huynen, Daniël De Zutter, Hendrik Rogier, and Dries Vande Ginste. 2021. “A 2-D Differential Surface Admittance Operator for Combined Magnetic and Dielectric Contrast.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 102: 175–186. doi:10.1016/j.camwa.2021.10.011.
Vancouver
1.
Bosman D, Huynen M, De Zutter D, Rogier H, Vande Ginste D. A 2-D differential surface admittance operator for combined magnetic and dielectric contrast. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2021;102:175–86.
IEEE
[1]
D. Bosman, M. Huynen, D. De Zutter, H. Rogier, and D. Vande Ginste, “A 2-D differential surface admittance operator for combined magnetic and dielectric contrast,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 102, pp. 175–186, 2021.
@article{8730922,
  abstract     = {{In this paper, we present a novel technique to accurately model scattering phenomena at two-dimensional circular and rectangular structures consisting of arbitrary homogeneous materials, including magnetic media in particular. The proposed formalism utilizes a differential surface admittance operator, which invokes a single source equivalence theorem to replace the inside material by its surrounding medium, while introducing an equivalent surface current density. The arbitrary magnetic contrast can be combined with an arbitrary electrical conductivity. As such, the skin effect is rigorously taken into account, making our method ideally suited for broadband modeling of good conductors as well. It is demonstrated that an appropriate choice of the basis functions for the discretized problem is critical to obtain a convergent result when magnetic contrast is introduced. The method is analytically validated for the case of a circular cylinder and additional numerical results illustrate the correctness of the technique for (combinations of) rectangular cylinders, through comparison with a Poggio-Miller-Chan-Harrington-Wu-Tsai approach, a volume integral equation method and a commercial solver.}},
  author       = {{Bosman, Dries and Huynen, Martijn and De Zutter, Daniël and Rogier, Hendrik and Vande Ginste, Dries}},
  issn         = {{0898-1221}},
  journal      = {{COMPUTERS & MATHEMATICS WITH APPLICATIONS}},
  keywords     = {{SKIN-EFFECT PROBLEMS,INTEGRAL-EQUATION,SERIES IMPEDANCE,FORMULATION,CONDUCTORS,Differential surface admittance operator,Magnetic materials,Boundary,integral equations,Electromagnetic scattering}},
  language     = {{eng}},
  pages        = {{175--186}},
  title        = {{A 2-D differential surface admittance operator for combined magnetic and dielectric contrast}},
  url          = {{http://doi.org/10.1016/j.camwa.2021.10.011}},
  volume       = {{102}},
  year         = {{2021}},
}
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