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Analytic differential admittance operator solution of a dielectric sphere under radial dipole illumination

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Abstract
In this contribution, the exact solution of the electric field integral equation (EFIE) combined with the differential surface admittance (DSA) operator is presented for scattering at a homogeneous dielectric sphere. By employing a Galerkin Method of Moments with two complete sets of orthogonal vector spherical harmonics as basis functions, both operators involved are constructed with closed expressions. By comparing to the classic Mie series solution for illumination by a radial electric dipole, the DSA - EFIE approach is confirmed to yield the exact solution within 12 digits of accuracy.
Keywords
integral equations, method of moments, single-source, differential-surface admittance

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Citation

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MLA
Huynen, Martijn, et al. “Analytic Differential Admittance Operator Solution of a Dielectric Sphere under Radial Dipole Illumination.” 2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024, IEEE, 2024, pp. 662–65, doi:10.1109/ims40175.2024.10600236.
APA
Huynen, M., De Zutter, D., Vande Ginste, D., & Okhmatovski, V. (2024). Analytic differential admittance operator solution of a dielectric sphere under radial dipole illumination. 2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024, 662–665. https://doi.org/10.1109/ims40175.2024.10600236
Chicago author-date
Huynen, Martijn, Daniël De Zutter, Dries Vande Ginste, and V. Okhmatovski. 2024. “Analytic Differential Admittance Operator Solution of a Dielectric Sphere under Radial Dipole Illumination.” In 2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024, 662–65. IEEE. https://doi.org/10.1109/ims40175.2024.10600236.
Chicago author-date (all authors)
Huynen, Martijn, Daniël De Zutter, Dries Vande Ginste, and V. Okhmatovski. 2024. “Analytic Differential Admittance Operator Solution of a Dielectric Sphere under Radial Dipole Illumination.” In 2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024, 662–665. IEEE. doi:10.1109/ims40175.2024.10600236.
Vancouver
1.
Huynen M, De Zutter D, Vande Ginste D, Okhmatovski V. Analytic differential admittance operator solution of a dielectric sphere under radial dipole illumination. In: 2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024. IEEE; 2024. p. 662–5.
IEEE
[1]
M. Huynen, D. De Zutter, D. Vande Ginste, and V. Okhmatovski, “Analytic differential admittance operator solution of a dielectric sphere under radial dipole illumination,” in 2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024, Washington, USA, 2024, pp. 662–665.
@inproceedings{01J46BJ6W2G46N6YNK3JANPYMD,
  abstract     = {{In this contribution, the exact solution of the electric field integral equation (EFIE) combined with the differential surface admittance (DSA) operator is presented for scattering at a homogeneous dielectric sphere. By employing a Galerkin Method of Moments with two complete sets of orthogonal vector spherical harmonics as basis functions, both operators involved are constructed with closed expressions. By comparing to the classic Mie series solution for illumination by a radial electric dipole, the DSA - EFIE approach is confirmed to yield the exact solution within 12 digits of accuracy.}},
  author       = {{Huynen, Martijn and De Zutter, Daniël and Vande Ginste, Dries and Okhmatovski, V.}},
  booktitle    = {{2024 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM, IMS 2024}},
  isbn         = {{9798350375053}},
  issn         = {{2576-7216}},
  keywords     = {{integral equations,method of moments,single-source,differential-surface admittance}},
  language     = {{eng}},
  location     = {{Washington, USA}},
  pages        = {{662--665}},
  publisher    = {{IEEE}},
  title        = {{Analytic differential admittance operator solution of a dielectric sphere under radial dipole illumination}},
  url          = {{http://doi.org/10.1109/ims40175.2024.10600236}},
  year         = {{2024}},
}

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