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Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations

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TLDR
A novel approach for an efficient solution of matrix equations arising in the method of moments (MoM) formulation of electromagnetic scattering problems is introduced, based on the characteristic basis functions (CBFs), which are used to substantially reduce the matrix size.
Abstract
In this paper, we introduce a novel approach for an efficient solution of matrix equations arising in the method of moments (MoM) formulation of electromagnetic scattering problems. This approach is based on the characteristic basis functions (CBFs), which are used to substantially reduce the matrix size because these bases are not bound by the conventional λ/20 domain discretization. As a result, it is possible to electrically solve large problems with much fewer unknowns than those needed when using conventional RWG basis functions. The accuracy and efficiency of the CBFs are demonstrated in a variety of scattering problems to illustrate the versatility of the approach. © 2002 Wiley Periodicals, Inc. Microwave Opt Technol Lett 36: 95–100, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.10685

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Journal ArticleDOI

Analysis of Large Complex Structures With the Synthetic-Functions Approach

TL;DR: An innovative procedure is presented that allows the method of moments (MoM) analysis of large and complex antenna and scattering problems at a reduced memory and CPU cost, bounded within the resources provided by a standard (32 bit) personal computer.
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Fast Analysis of Large Antenna Arrays Using the Characteristic Basis Function Method and the Adaptive Cross Approximation Algorithm

TL;DR: The characteristic basis function method (CBFM) has been hybridized with the adaptive cross approximation (ACA) algorithm to construct a reduced matrix equation in a time-efficient manner and to solve electrically large antenna array problems in-core, with a solve time orders of magnitude less than those in the conventional methods.
Journal ArticleDOI

An Iteration-Free MoM Approach Based on Excitation Independent Characteristic Basis Functions for Solving Large Multiscale Electromagnetic Scattering Problems

TL;DR: The paper shows that the CBFs can be generated by using a sparse representation of the impedance matrix-resulting in lower computational cost-and that, in contrast to the iterative techniques, multiple excitations can be handled with only a small overhead.
Journal ArticleDOI

Metasurface Antennas: New Models, Applications and Realizations

TL;DR: It is experimentally shown for the first time that metasurface antennas constituted by subwavelength elements printed on a grounded dielectric slab can have aperture efficiency up to 70%, a bandwidth up to 30%, and produce two different direction beams of high-gain and similar beams at two different frequencies, showing performances never reached before.
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Efficient analysis of a class of microstrip antennas using the characteristic basis function method (CBFM)

TL;DR: It is demonstrated that the use of CBFs can result in significant savings in computation time, with little or no compromise in the accuracy of the solution.
References
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Journal ArticleDOI

Electromagnetic scattering by surfaces of arbitrary shape

TL;DR: In this paper, the electric field integral equation (EFIE) is used with the moment method to develop a simple and efficient numerical procedure for treating problems of scattering by arbitrarily shaped objects.
Journal ArticleDOI

Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects

TL;DR: Using these techniques, the FMM and MLFMA can solve the problem of electromagnetic scattering by large complex three-dimensional objects such as an aircraft on a small computer.
Journal ArticleDOI

A subdomain multilevel approach for the efficient MoM analysis of large planar antennas

TL;DR: This poster presents a probabilistic analysis of the response of the immune system to repeated exposure to carbon monoxide and shows clear trends in antibody responses to carbon dioxide.
Journal ArticleDOI

An iterative current-based hybrid method for complex structures

TL;DR: In this article, a general unified hybrid method for radiation and scattering problems such as antennas mounted on a large platform is presented, referred to as the hybrid EFIE-MFIE (HEM), in which the EFIE and MFIE are applied to geometrically distinct regions of an object.
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