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Scattering and radiation from/by 1-D periodic metallizations residing in layered media

Dries Vande Ginste (UGent) , Hendrik Rogier (UGent) and Daniël De Zutter (UGent)
(2010) IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 58(10). p.3316-3326
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Abstract
An efficient technique is proposed to compute the scattering or radiation from/by 1-D periodic structures residing in a layered background medium. The technique is based on a mixed potential integral equation (MPIE) combined with the method of moments (MoM), solving for the unknown current density flowing within a unit cell of the periodic structure. The formalism requires the knowledge of the pertinent layered medium Green's functions with 1-D periodicity. Here, these Green's functions are derived in closed-form by invoking the perfectly matched layer (PML)-paradigm. The stationary phase method is applied to determine the far field of the infinite, periodic structure, leading to a series of Floquet modes. In addition, approximating this series leads to an efficient technique to estimate the scattering or radiation from/by large, but finite, periodic structures with a 1-D periodic character. The theory is illustrated and validated by means of various examples, stemming from scattering and radiation applications from/by antenna arrays residing on microstrip substrates. The efficiency of the method is also demonstrated.
Keywords
Antenna arrays, electromagnetic radiation, electromagnetic scattering, Green's function, integral equation, perfectly matched layer (PML), periodic structures, method of moments (MoM), stationary phase method, PERFECTLY MATCHED LAYERS, SEMIINFINITE PHASED-ARRAY, FAST MULTIPOLE ALGORITHM, PLANAR MICROWAVE STRUCTURES, DOMAIN GREENS-FUNCTION, FULL-WAVE ANALYSIS, EFFICIENT COMPUTATION, SERIES EXPANSION, 2-D, FORMULATION

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MLA
Vande Ginste, Dries, et al. “Scattering and Radiation from/by 1-D Periodic Metallizations Residing in Layered Media.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 58, no. 10, 2010, pp. 3316–26, doi:10.1109/TAP.2010.2055811.
APA
Vande Ginste, D., Rogier, H., & De Zutter, D. (2010). Scattering and radiation from/by 1-D periodic metallizations residing in layered media. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 58(10), 3316–3326. https://doi.org/10.1109/TAP.2010.2055811
Chicago author-date
Vande Ginste, Dries, Hendrik Rogier, and Daniël De Zutter. 2010. “Scattering and Radiation from/by 1-D Periodic Metallizations Residing in Layered Media.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 58 (10): 3316–26. https://doi.org/10.1109/TAP.2010.2055811.
Chicago author-date (all authors)
Vande Ginste, Dries, Hendrik Rogier, and Daniël De Zutter. 2010. “Scattering and Radiation from/by 1-D Periodic Metallizations Residing in Layered Media.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 58 (10): 3316–3326. doi:10.1109/TAP.2010.2055811.
Vancouver
1.
Vande Ginste D, Rogier H, De Zutter D. Scattering and radiation from/by 1-D periodic metallizations residing in layered media. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2010;58(10):3316–26.
IEEE
[1]
D. Vande Ginste, H. Rogier, and D. De Zutter, “Scattering and radiation from/by 1-D periodic metallizations residing in layered media,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 58, no. 10, pp. 3316–3326, 2010.
@article{1163339,
  abstract     = {{An efficient technique is proposed to compute the scattering or radiation from/by 1-D periodic structures residing in a layered background medium. The technique is based on a mixed potential integral equation (MPIE) combined with the method of moments (MoM), solving for the unknown current density flowing within a unit cell of the periodic structure. The formalism requires the knowledge of the pertinent layered medium Green's functions with 1-D periodicity. Here, these Green's functions are derived in closed-form by invoking the perfectly matched layer (PML)-paradigm. The stationary phase method is applied to determine the far field of the infinite, periodic structure, leading to a series of Floquet modes. In addition, approximating this series leads to an efficient technique to estimate the scattering or radiation from/by large, but finite, periodic structures with a 1-D periodic character. The theory is illustrated and validated by means of various examples, stemming from scattering and radiation applications from/by antenna arrays residing on microstrip substrates. The efficiency of the method is also demonstrated.}},
  author       = {{Vande Ginste, Dries and Rogier, Hendrik and De Zutter, Daniël}},
  issn         = {{0018-926X}},
  journal      = {{IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION}},
  keywords     = {{Antenna arrays,electromagnetic radiation,electromagnetic scattering,Green's function,integral equation,perfectly matched layer (PML),periodic structures,method of moments (MoM),stationary phase method,PERFECTLY MATCHED LAYERS,SEMIINFINITE PHASED-ARRAY,FAST MULTIPOLE ALGORITHM,PLANAR MICROWAVE STRUCTURES,DOMAIN GREENS-FUNCTION,FULL-WAVE ANALYSIS,EFFICIENT COMPUTATION,SERIES EXPANSION,2-D,FORMULATION}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{3316--3326}},
  title        = {{Scattering and radiation from/by 1-D periodic metallizations residing in layered media}},
  url          = {{http://doi.org/10.1109/TAP.2010.2055811}},
  volume       = {{58}},
  year         = {{2010}},
}
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