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Numerical Techniques for Efficient Analysis of FSSs, EBGs and Metamaterials

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Computational Electromagnetics

Abstract

In this chapter, we present a numerically efficient and accurate technique for the analysis of doubly-infinite periodic arrays, which find applications as Frequency Selective Surfaces (FSSs), Electronic Bandgap (EBGs) structures, plasmonic sensors at optical wavelength and Metamaterials (MTMs), all of which often utilize periodic elements. The method derives its efficiency by deriving, via extrapolation, the solution to the infinite array problem from that of a corresponding truncated array of relatively small size, typically comprising of only four to six concentric rings surrounding the center element. Furthermore, it reduces the matrix size needed to solve for the induced current to only two or three.

Another feature of the method is that it involves Reciprocity Principle (RP) to compute the reflection and transmission coefficients of the array, by using a technique that avoids the need to integrate the currents induced on the unit cell via the periodic Green’s function, as well as the evaluation of the latter integral in the far-field. The results derived are compared with those derived by using commercial software tools, to assess the validity of the approach and to demonstrate the time advantage of the present scheme over the existing techniques. By its very nature, the method presented herein is readily extendable to truncated periodic structures, and to those with random perturbations.

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Author information

Authors and Affiliations

  1. EMC Lab, Department of Electrical Engineering, The Pennsylvania State University, University Park, PA, 16803, USA

    Chiara Pelletti & Ravi Kumar Arya

  2. Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, WI, 53706, USA

    Arash Rashidi

  3. Computational EM & Photonics Laboratory, Electrical and Computer Engineering Department, Northeastern University, Boston, MA, 02115, USA

    Hossein Mosallaei

  4. EMC Lab, Department of Electrical Engineering, The Pennsylvania State University, University Park, PA, 16802, USA

    Raj Mittra

Authors
  1. Chiara Pelletti
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  2. Ravi Kumar Arya
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  3. Arash Rashidi
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  4. Hossein Mosallaei
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  5. Raj Mittra
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Correspondence to Chiara Pelletti .

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Editors and Affiliations

  1. EE Department, Penn State University, University Park, Pennsylvania, USA

    Raj Mittra

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Pelletti, C., Arya, R.K., Rashidi, A., Mosallaei, H., Mittra, R. (2014). Numerical Techniques for Efficient Analysis of FSSs, EBGs and Metamaterials. In: Mittra, R. (eds) Computational Electromagnetics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4382-7_11

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  • DOI: https://doi.org/10.1007/978-1-4614-4382-7_11

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