EFFICIENT SOLUTIONS OF METAMATERIAL PROBLEMS USING A LOW-FREQUENCY MULTILEVEL FAST MULTIPOLE ALGORITHM

Download
2010-01-01
We present fast and accurate sloutions of electromagnetics problems involving realistic metamaterial structures using a lowfrequency multilevel fast multipole algorithm (LF-MLFMA). Accelerating iterative solutions using robust preconditioning techniques may not be sufficient to reduce the overall processing time when the ordinary high-frequency MLFMA is applied to metamaterial problems. The major bottleneck, i.e., the low-frequency breakdown, should be eliminated for efficient sloutions. We show that the combination of an LF-MLFMA implmentation, we demonstrate how the transmission properties of metamaterial walls can be enhanced with randomly-oriented unit cells.
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER

Suggestions

Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems
Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2008-08-01)
We present fast and accurate solutions of large-scale scattering problems involving three-dimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient parallelization of MLFMA, scattering problems that are discretized with tens of millions of unknowns are easily solved on a cluster of computers. We extensively investigate the parallelization of MLFMA, identify the bottlenecks, and provide remedial procedures to improve the efficiency of the imp...
Transformation Electromagnetics Based Analysis of Waveguides With Random Rough or Periodic Grooved Surfaces
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Institute of Electrical and Electronics Engineers (IEEE), 2013-02-01)
A computational model is introduced which employs transformation-based media to increase the computational performance of finite methods (such as finite element or finite difference methods) for analyzing waveguides with grooves or rough surfaces. Random behavior of the roughness is taken into account by utilizing the Monte Carlo technique, which is based on a set of random rough surfaces generated from Gaussian distribution. The main objective of the proposed approach is to create a single mesh, and to ana...
Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics
Ergül, Özgür Salih (Institution of Engineering and Technology (IET), 2008-01-03)
A hierarchical parallelisation of the multilevel fast multipole algorithm (MLFMA) for the efficient solution of large-scale problems in computational electromagnetics is presented. The tree structure of MLFMA is distributed among the processors by partitioning both the clusters and the samples of the fields appropriately for each level. The parallelisation efficiency is significantly improved compared to previous approaches, where only the clusters or only the fields are partitioned in a level.
Fast and Accurate Analysis of Complicated Metamaterial Structures Using a Low-Frequency Multilevel Fast Multipole Algorithm
Ergül, Özgür Salih (2009-09-18)
We present efficient solutions of electromagnetics problems involving realistic metamaterial structures using a low-frequency multilevel fast multipole algorithm (LF-MLFMA). Ordinary implementations of MLFMA based on the diagonalization of the Green's function suffer from the low-frequency breakdown, and they become inefficient for the solution of metamaterial problems discretized with very small elements compared to the wavelength. We show that LF-MLFMA, which employs multipoles explicitly without diagonal...
A fast and automatically paired 2-D direction-of-arrival estimation with and without estimating the mutual coupling coefficients
Filik, Tansu; Tuncer, Temel Engin (American Geophysical Union (AGU), 2010-06-26)
A new technique is proposed for the solution of pairing problem which is observed when fast algorithms are used for two-dimensional (2-D) direction-of-arrival (DOA) estimation. Proposed method is integrated with array interpolation for efficient use of antenna elements. Two virtual arrays are generated which are positioned accordingly with respect to the real array. ESPRIT algorithm is used by employing both the real and virtual arrays. The eigenvalues of the rotational transformation matrix have the angle ...
Citation Formats
Ö. S. Ergül, “EFFICIENT SOLUTIONS OF METAMATERIAL PROBLEMS USING A LOW-FREQUENCY MULTILEVEL FAST MULTIPOLE ALGORITHM,” PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, pp. 81–99, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44224.