General-Purpose Characteristic Basis Finite Element Method for Multi-Scale Electrostatic and Electromagnetic Problems

Date

2010-01-01

Author

Ozgun, Ozlem
Mittra, Raj
Kuzuoğlu, Mustafa

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

177
views

0
downloads

This article presents a noniterative and parallel finite element technique that is tailored for a wide class of electromagnetic boundary problems, covering both quasi-static and time-harmonic regimes. This approach, called the characteristic basis finite element method, combines the domain decomposition technique with the use of characteristic basis functions that are generated by employing a finite number of point charges or dipole-type sources, depending upon whether work is being done in a quasi-static or a time-harmonic regime. Two major advantages of this method are considerable reduction in the matrix size and convenient parallelization, both of which make possible the direct solution of multi-scale problems in an efficient manner. For the static case, the problem of computing the capacitance matrices of 3D interconnects in integrated circuit packaging is considered. For the time-harmonic case, the proposed method is applied to 3D electromagnetic scattering problems. The accuracy of the proposed technique has been validated via a number of numerical simulations, covering a wide variety of configurations.

Subject Keywords

Electrical and Electronic Engineering, Electronic, Optical and Magnetic Materials, Radiation

URI

https://hdl.handle.net/11511/47414

Journal

ELECTROMAGNETICS

DOI

https://doi.org/10.1080/02726340903485505

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Closed-form Green's functions for finite grounded dielectric substrate Öğücü, Gölge; ALATAN, LALE; Aydın Çivi, Hatice Özlem (Informa UK Limited, 2005-02-01) The approximate closed-form Green's functions of the vector and scalar potentials in the spatial domain are derived for a horizontal electric dipole placed over a finite grounded dielectric medium. The effects of the discontinuity at the edges are considered by including the surface wave reflections from the edges, which are obtained as a function of the incident angle by using the edge admittance concept. The closed-form expressions of the reflection coefficients are then derived by means of the generalize...
Form-Invariance of Maxwell's Equations in Waveguide Cross-Section Transformations Ozgun, Ozlem; Kuzuoğlu, Mustafa (Informa UK Limited, 2009-01-01) We present a novel coordinate transformation technique that controls the propagation of waves inside a waveguide, such that the waveguide behaves as if it is a reshaped waveguide. In this technique, the spatial domain of the waveguide is mapped to that of its reshaped equivalent, yielding an anisotropic medium inside the waveguide. In other words, the waveguide in the transformed space can be imagined as if it is filled with an anisotropic metamaterial whose spatially varying constitutive parameters reflect...
PO-BASED CHARACTERISTIC BASIS FINITE ELEMENT METHOD (CBFEM-PO)-A PARALLEL, ITERATION-FREE DOMAIN DECOMPOSITION ALGORITHM USING PERFECTLY MATCHED LAYERS FOR LARGE-SCALE ELECTROMAGNETIC SCATTERING PROBLEMS Ozgun, Ozlem; Mittra, Raj; Kuzuoğlu, Mustafa (Wiley, 2010-05-01) In this article, we introduce a new type of Characteristic Basis Finite Element Method (CBFEM), which is based on the concepts of Physical Optics (PO) and Perfectly Matched Layers (PMLs), for solving large-scale electromagnetic scattering problems in a rigorous and efficient manner. This parallel and iteration-free technique, called CBFEM-PO, decomposes the computational domain into a number of subdomains, and generates three types of characteristic basis functions (CBEs) that are specially-tailored to each...
RC Performance Evaluation of Interconnect Architecture Options Beyond the 10-nm Logic Node Kıncal, Serkan; Abraham, Mathew C.; Schuegraf, Klaus (Institute of Electrical and Electronics Engineers (IEEE), 2014-06-01) This paper summarizes the findings of an RC performance modeling approach for evaluating various material and architecture options by which interconnect wires are incorporated onto integrated circuits. For the present dual-damascene structure, the grain boundary and surface scattering modes are identified as the top contributors to resistance degradation, along with the cross-sectional area consumed by the liner/barrier layers. Self-forming barriers, a technology that provides direct Cu-insulator interfaces...
Quasi-static solutions of elliptical, cylindrical-coupled parallel coplanar waveguide, and coupled parallel coplanar waveguide with finite ground planes Duyar, Mehmet; Akan, Volkan; Yazgan, Erdem; Bayrak, Mehmet (Wiley, 2007-07-01) This article presents the quasi-static analyses of elliptical-coupled parallel coplanar waveguide (ECP CPW), cylindrical-coupled parallel coplanar waveguide (CCP CPW), and coupled parallel coplanar waveguide (CP CPW) with finite ground planes. Conformal-mappi ng techniques have been used through the analyses. The obtained results show good agreement with IE3D electromagnetic-circuit solver software's simulations for the planar case. In addition, the results have been compared with others available in the li...

Citation Formats

O. Ozgun, R. Mittra, and M. Kuzuoğlu, “General-Purpose Characteristic Basis Finite Element Method for Multi-Scale Electrostatic and Electromagnetic Problems,” ELECTROMAGNETICS, pp. 205–221, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47414.