Fast analysis of 3-D doubly periodic structures with complex geometry and anisotropic materials using the adaptive integral method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

Full-wave modeling of 3-D doubly periodic structures with non-orthogonal lattices is an important topic area in computational electromagnetics due to its wide range of possible applications; most notably, frequency selective surfaces (FSS) and metamaterials. The hybrid finite element boundary integral (FEBI) method has been used to analyze the "artificial puck plate" FSS using a triangular grid composed of isotropic media [1]. Recent advances in artificially engineered materials requires implementation of complex and inhomogeneous media in device designs; one example being the use of anisotropic liquid crystals for tunable optical negative-index metamaterials [2]. While many efficient simulation tools exist for doubly periodic structures with rectangular lattices, there has been little investigation into the modeling of similar structures which possess non-orthogonal lattices and inhomogeneous anisotropic materials. Here, these issues have been addressed with the development of a fast and efficient simulation tool which takes advantage of the adaptive integral method (AIM) [3]. In this new code, triangular prism finite elements are employed to mesh the unit cell volume of the periodic structure, resulting in a great deal of flexibility in modeling complex geometries in the transverse direction (e.g. for modeling FSS screens with arbitrarily shaped elements). Additionally, the O(N·logN) FFT-based AIM is employed to accelerate the calculation of the matrix-vector product in the BI part of the bi-conjugate gradient (BCG) solver. Through several examples and a comparison to the original FEBI algorithm, the efficiency of the proposed technique is demonstrated and its results are validated.

Original languageEnglish (US)
Title of host publication2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
DOIs
StatePublished - Nov 22 2010
Event2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010 - Toronto, ON, Canada
Duration: Jul 11 2010Jul 17 2010

Other

Other2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
CountryCanada
CityToronto, ON
Period7/11/107/17/10

Fingerprint

Frequency selective surfaces
Periodic structures
Metamaterials
Geometry
Computational electromagnetics
Prisms
Fast Fourier transforms
Liquid crystals

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Hardware and Architecture

Cite this

Wang, X., & Werner, D. H. (2010). Fast analysis of 3-D doubly periodic structures with complex geometry and anisotropic materials using the adaptive integral method. In 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010 [5562230] https://doi.org/10.1109/APS.2010.5562230
Wang, Xiande ; Werner, Douglas Henry. / Fast analysis of 3-D doubly periodic structures with complex geometry and anisotropic materials using the adaptive integral method. 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010. 2010.
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abstract = "Full-wave modeling of 3-D doubly periodic structures with non-orthogonal lattices is an important topic area in computational electromagnetics due to its wide range of possible applications; most notably, frequency selective surfaces (FSS) and metamaterials. The hybrid finite element boundary integral (FEBI) method has been used to analyze the {"}artificial puck plate{"} FSS using a triangular grid composed of isotropic media [1]. Recent advances in artificially engineered materials requires implementation of complex and inhomogeneous media in device designs; one example being the use of anisotropic liquid crystals for tunable optical negative-index metamaterials [2]. While many efficient simulation tools exist for doubly periodic structures with rectangular lattices, there has been little investigation into the modeling of similar structures which possess non-orthogonal lattices and inhomogeneous anisotropic materials. Here, these issues have been addressed with the development of a fast and efficient simulation tool which takes advantage of the adaptive integral method (AIM) [3]. In this new code, triangular prism finite elements are employed to mesh the unit cell volume of the periodic structure, resulting in a great deal of flexibility in modeling complex geometries in the transverse direction (e.g. for modeling FSS screens with arbitrarily shaped elements). Additionally, the O(N·logN) FFT-based AIM is employed to accelerate the calculation of the matrix-vector product in the BI part of the bi-conjugate gradient (BCG) solver. Through several examples and a comparison to the original FEBI algorithm, the efficiency of the proposed technique is demonstrated and its results are validated.",
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Wang, X & Werner, DH 2010, Fast analysis of 3-D doubly periodic structures with complex geometry and anisotropic materials using the adaptive integral method. in 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010., 5562230, 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010, Toronto, ON, Canada, 7/11/10. https://doi.org/10.1109/APS.2010.5562230

Fast analysis of 3-D doubly periodic structures with complex geometry and anisotropic materials using the adaptive integral method. / Wang, Xiande; Werner, Douglas Henry.

2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010. 2010. 5562230.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - Full-wave modeling of 3-D doubly periodic structures with non-orthogonal lattices is an important topic area in computational electromagnetics due to its wide range of possible applications; most notably, frequency selective surfaces (FSS) and metamaterials. The hybrid finite element boundary integral (FEBI) method has been used to analyze the "artificial puck plate" FSS using a triangular grid composed of isotropic media [1]. Recent advances in artificially engineered materials requires implementation of complex and inhomogeneous media in device designs; one example being the use of anisotropic liquid crystals for tunable optical negative-index metamaterials [2]. While many efficient simulation tools exist for doubly periodic structures with rectangular lattices, there has been little investigation into the modeling of similar structures which possess non-orthogonal lattices and inhomogeneous anisotropic materials. Here, these issues have been addressed with the development of a fast and efficient simulation tool which takes advantage of the adaptive integral method (AIM) [3]. In this new code, triangular prism finite elements are employed to mesh the unit cell volume of the periodic structure, resulting in a great deal of flexibility in modeling complex geometries in the transverse direction (e.g. for modeling FSS screens with arbitrarily shaped elements). Additionally, the O(N·logN) FFT-based AIM is employed to accelerate the calculation of the matrix-vector product in the BI part of the bi-conjugate gradient (BCG) solver. Through several examples and a comparison to the original FEBI algorithm, the efficiency of the proposed technique is demonstrated and its results are validated.

AB - Full-wave modeling of 3-D doubly periodic structures with non-orthogonal lattices is an important topic area in computational electromagnetics due to its wide range of possible applications; most notably, frequency selective surfaces (FSS) and metamaterials. The hybrid finite element boundary integral (FEBI) method has been used to analyze the "artificial puck plate" FSS using a triangular grid composed of isotropic media [1]. Recent advances in artificially engineered materials requires implementation of complex and inhomogeneous media in device designs; one example being the use of anisotropic liquid crystals for tunable optical negative-index metamaterials [2]. While many efficient simulation tools exist for doubly periodic structures with rectangular lattices, there has been little investigation into the modeling of similar structures which possess non-orthogonal lattices and inhomogeneous anisotropic materials. Here, these issues have been addressed with the development of a fast and efficient simulation tool which takes advantage of the adaptive integral method (AIM) [3]. In this new code, triangular prism finite elements are employed to mesh the unit cell volume of the periodic structure, resulting in a great deal of flexibility in modeling complex geometries in the transverse direction (e.g. for modeling FSS screens with arbitrarily shaped elements). Additionally, the O(N·logN) FFT-based AIM is employed to accelerate the calculation of the matrix-vector product in the BI part of the bi-conjugate gradient (BCG) solver. Through several examples and a comparison to the original FEBI algorithm, the efficiency of the proposed technique is demonstrated and its results are validated.

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M3 - Conference contribution

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Wang X, Werner DH. Fast analysis of 3-D doubly periodic structures with complex geometry and anisotropic materials using the adaptive integral method. In 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010. 2010. 5562230 https://doi.org/10.1109/APS.2010.5562230