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An efficient 1-D periodic boundary integral equation technique to analyze radiation onto straight and meandering microstrip lines

Dries Vande Ginste (UGent) , Hendrik Rogier (UGent) and Daniël De Zutter (UGent)
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Abstract
A modeling technique to analyze the radiation onto arbitrary 1-D periodic metallizations residing on a microstrip substrate is presented. In particular, straight and meandering lines are being studied. The method is based on a boundary integral equation, more specifically on a mixed potential integral equation (MPIE), that is solved by means of the method of moments. A plane wave excites the microstrip structure, and according to the Floquet-Bloch theorem, the analysis can be restricted to one single unit cell. Thereto, the MPIE must be constructed using the pertinent 1-D periodic layered medium Green's functions. Here, these Green's functions are obtained in closed form by invoking the perfectly matched layer paradigm. The proposed method is applied to assess the radiation onto 1) a semi-infinite plate, 2) a straight microstrip line, and 3) a serpentine delay line. These three types of examples clearly illustrate and validate the method. Also, its efficiency, compared to a previously developed fast microstrip analysis technique, is demonstrated.
Keywords
SUPPRESSION, MEDIA, PLANAR MICROWAVE STRUCTURES, FAST MULTIPOLE ALGORITHM, PERFECTLY MATCHED LAYERS, SCATTERING, SURFACES, DESIGN, Electromagnetic radiation, Green's function, integral equation, meandering lines, method of moments (MoM), microstrip structure, perfectly matched layer (PML), periodic structure

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Citation

Please use this url to cite or link to this publication:

MLA
Vande Ginste, Dries, et al. “An Efficient 1-D Periodic Boundary Integral Equation Technique to Analyze Radiation onto Straight and Meandering Microstrip Lines.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, vol. 54, no. 3, 2012, pp. 625–33, doi:10.1109/TEMC.2011.2171491.
APA
Vande Ginste, D., Rogier, H., & De Zutter, D. (2012). An efficient 1-D periodic boundary integral equation technique to analyze radiation onto straight and meandering microstrip lines. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 54(3), 625–633. https://doi.org/10.1109/TEMC.2011.2171491
Chicago author-date
Vande Ginste, Dries, Hendrik Rogier, and Daniël De Zutter. 2012. “An Efficient 1-D Periodic Boundary Integral Equation Technique to Analyze Radiation onto Straight and Meandering Microstrip Lines.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY 54 (3): 625–33. https://doi.org/10.1109/TEMC.2011.2171491.
Chicago author-date (all authors)
Vande Ginste, Dries, Hendrik Rogier, and Daniël De Zutter. 2012. “An Efficient 1-D Periodic Boundary Integral Equation Technique to Analyze Radiation onto Straight and Meandering Microstrip Lines.” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY 54 (3): 625–633. doi:10.1109/TEMC.2011.2171491.
Vancouver
1.
Vande Ginste D, Rogier H, De Zutter D. An efficient 1-D periodic boundary integral equation technique to analyze radiation onto straight and meandering microstrip lines. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY. 2012;54(3):625–33.
IEEE
[1]
D. Vande Ginste, H. Rogier, and D. De Zutter, “An efficient 1-D periodic boundary integral equation technique to analyze radiation onto straight and meandering microstrip lines,” IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, vol. 54, no. 3, pp. 625–633, 2012.
@article{3099917,
  abstract     = {{A modeling technique to analyze the radiation onto arbitrary 1-D periodic metallizations residing on a microstrip substrate is presented. In particular, straight and meandering lines are being studied. The method is based on a boundary integral equation, more specifically on a mixed potential integral equation (MPIE), that is solved by means of the method of moments. A plane wave excites the microstrip structure, and according to the Floquet-Bloch theorem, the analysis can be restricted to one single unit cell. Thereto, the MPIE must be constructed using the pertinent 1-D periodic layered medium Green's functions. Here, these Green's functions are obtained in closed form by invoking the perfectly matched layer paradigm. The proposed method is applied to assess the radiation onto 1) a semi-infinite plate, 2) a straight microstrip line, and 3) a serpentine delay line. These three types of examples clearly illustrate and validate the method. Also, its efficiency, compared to a previously developed fast microstrip analysis technique, is demonstrated.}},
  author       = {{Vande Ginste, Dries and Rogier, Hendrik and De Zutter, Daniël}},
  issn         = {{0018-9375}},
  journal      = {{IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY}},
  keywords     = {{SUPPRESSION,MEDIA,PLANAR MICROWAVE STRUCTURES,FAST MULTIPOLE ALGORITHM,PERFECTLY MATCHED LAYERS,SCATTERING,SURFACES,DESIGN,Electromagnetic radiation,Green's function,integral equation,meandering lines,method of moments (MoM),microstrip structure,perfectly matched layer (PML),periodic structure}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{625--633}},
  title        = {{An efficient 1-D periodic boundary integral equation technique to analyze radiation onto straight and meandering microstrip lines}},
  url          = {{http://doi.org/10.1109/TEMC.2011.2171491}},
  volume       = {{54}},
  year         = {{2012}},
}

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