Efficient analysis of scattering from large-scale aperiodic tilings by use of the characteristic basis function method combined with the adaptive integral method

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

Abstract

This paper presents a hybrid method for fast analysis of electromagnetic (EM) scattering from large-scale aperiodic structures (e.g., Penrose and Danzer tilings), which integrates the characteristic basis function method (CBFM) and the adaptive integral method (AIM). The CBFs defined on the macro block facilitate a substantial reduction in the method of moments (MoM) matrix size, enabling the use of direct solvers for large problems. The initial CBFs are constructed by illuminating one block with θ- and -polarization plane waves for multiple incident angles. Thereafter, the singular value decomposition (SVD) method and threshold are used to extract the independent basis from the initial solution space, ultimately leading to the final CBFs. The AIM is applied to accelerate the calculation of CBFM reduced MoM matrices, significantly decreasing the CPU time and memory required for solving large-scale problems. As the size of one block becomes electrically large, the original CBFM combined with AIM is employed to generate the initial CBFs by solving a problem with multiple excitations, which results in efficiently constructing the final CBFs afforded by the SVD procedure. After validating the developed code, the subsequent solver is applied to investigate EM scattering from large-scale aperiodic tilings in order to demonstrate the efficiency of the proposed method. Further, the numerical results show that Penrose and Danzer tilings exhibit improved grating lobe suppression as compared to their periodic counterparts.

Original languageEnglish (US)
Title of host publication2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings
DOIs
StatePublished - 2012
EventJoint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012 - Chicago, IL, United States
Duration: Jul 8 2012Jul 14 2012

Other

OtherJoint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012
CountryUnited States
CityChicago, IL
Period7/8/127/14/12

Fingerprint

Scattering
Singular value decomposition
Method of moments
Program processors
Macros
Polarization
Data storage equipment

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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title = "Efficient analysis of scattering from large-scale aperiodic tilings by use of the characteristic basis function method combined with the adaptive integral method",
abstract = "This paper presents a hybrid method for fast analysis of electromagnetic (EM) scattering from large-scale aperiodic structures (e.g., Penrose and Danzer tilings), which integrates the characteristic basis function method (CBFM) and the adaptive integral method (AIM). The CBFs defined on the macro block facilitate a substantial reduction in the method of moments (MoM) matrix size, enabling the use of direct solvers for large problems. The initial CBFs are constructed by illuminating one block with θ- and -polarization plane waves for multiple incident angles. Thereafter, the singular value decomposition (SVD) method and threshold are used to extract the independent basis from the initial solution space, ultimately leading to the final CBFs. The AIM is applied to accelerate the calculation of CBFM reduced MoM matrices, significantly decreasing the CPU time and memory required for solving large-scale problems. As the size of one block becomes electrically large, the original CBFM combined with AIM is employed to generate the initial CBFs by solving a problem with multiple excitations, which results in efficiently constructing the final CBFs afforded by the SVD procedure. After validating the developed code, the subsequent solver is applied to investigate EM scattering from large-scale aperiodic tilings in order to demonstrate the efficiency of the proposed method. Further, the numerical results show that Penrose and Danzer tilings exhibit improved grating lobe suppression as compared to their periodic counterparts.",
author = "Xiande Wang and Werner, {Douglas Henry}",
year = "2012",
doi = "10.1109/APS.2012.6349053",
language = "English (US)",
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Wang, X & Werner, DH 2012, Efficient analysis of scattering from large-scale aperiodic tilings by use of the characteristic basis function method combined with the adaptive integral method. in 2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings., 6349053, Joint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012, Chicago, IL, United States, 7/8/12. https://doi.org/10.1109/APS.2012.6349053

Efficient analysis of scattering from large-scale aperiodic tilings by use of the characteristic basis function method combined with the adaptive integral method. / Wang, Xiande; Werner, Douglas Henry.

2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings. 2012. 6349053.

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

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