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Conference Paper: Perturbationbased electric field integral equation for low frequency capacitive problems
Title  Perturbationbased electric field integral equation for low frequency capacitive problems 

Authors  
Issue Date  2013 
Citation  The 33rd Progress in Electromagnetics Research Symposium (PIERS 2013), Taipei, Taiwan, 2528 March 2013. In Progress In Electromagnetics Research Symposium Abstracts, 2013, p. 122 How to Cite? 
Abstract  At low frequencies, the electric field integral equation (EFIE) usually breaks down when the RaoWiltonGlisson (RWG) basis function is employed. The physical reason is the decoupling between the electric field and magnetic field. In the integral representation of the EFIE, the electric field is decomposed into the vector potential part and the scalar potential part. When the frequency approaches zero, the vector potential part is much smaller than the scalar potential part and its contribution will be lost during the numerical process. Due to the divergence operator, the remaining scalar potential part has a null space, which makes the system matrix extremely illconditioned. In this work, the perturbation method is directly applied on the EFIE. We can observe that the starting term of resultant current is on the order of ω1. It means that the zerothorder of the current has been lost during the numerical process in the original EFIE. This will lead to wrong results for plane wave scattering problems. However, for a circuit problem with capacitive surfaces, the leading term of the current is rightly aligned on the same order. Therefore, the lowfrequency capacitive current at the first order of frequency can be accurately captured. Moreover, the nullspaces of the divergence operator are carefully studied, where the eigenvectors with small eigenvalue terms are not excited and the convergence of the iterative solution is ensured. 
Description  Session 1P4  Advanced Numerical Techniques in Electromagnetics 
Persistent Identifier  http://hdl.handle.net/10722/189894 
DC Field  Value  Language 

dc.contributor.author  Sun, S  en_US 
dc.contributor.author  Liu, Q  en_US 
dc.contributor.author  Chew, WC  en_US 
dc.date.accessioned  20130917T15:01:08Z   
dc.date.available  20130917T15:01:08Z   
dc.date.issued  2013  en_US 
dc.identifier.citation  The 33rd Progress in Electromagnetics Research Symposium (PIERS 2013), Taipei, Taiwan, 2528 March 2013. In Progress In Electromagnetics Research Symposium Abstracts, 2013, p. 122  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/189894   
dc.description  Session 1P4  Advanced Numerical Techniques in Electromagnetics   
dc.description.abstract  At low frequencies, the electric field integral equation (EFIE) usually breaks down when the RaoWiltonGlisson (RWG) basis function is employed. The physical reason is the decoupling between the electric field and magnetic field. In the integral representation of the EFIE, the electric field is decomposed into the vector potential part and the scalar potential part. When the frequency approaches zero, the vector potential part is much smaller than the scalar potential part and its contribution will be lost during the numerical process. Due to the divergence operator, the remaining scalar potential part has a null space, which makes the system matrix extremely illconditioned. In this work, the perturbation method is directly applied on the EFIE. We can observe that the starting term of resultant current is on the order of ω1. It means that the zerothorder of the current has been lost during the numerical process in the original EFIE. This will lead to wrong results for plane wave scattering problems. However, for a circuit problem with capacitive surfaces, the leading term of the current is rightly aligned on the same order. Therefore, the lowfrequency capacitive current at the first order of frequency can be accurately captured. Moreover, the nullspaces of the divergence operator are carefully studied, where the eigenvectors with small eigenvalue terms are not excited and the convergence of the iterative solution is ensured.   
dc.language  eng  en_US 
dc.relation.ispartof  Progress In Electromagnetics Research Symposium Abstracts  en_US 
dc.title  Perturbationbased electric field integral equation for low frequency capacitive problems  en_US 
dc.type  Conference_Paper  en_US 
dc.identifier.email  Sun, S: sunsheng@hku.hk  en_US 
dc.identifier.email  Liu, Q: qinliubl@hku.hk  en_US 
dc.identifier.email  Chew, WC: wcchew@hku.hk   
dc.identifier.authority  Sun, S=rp01431  en_US 
dc.identifier.authority  Chew, WC=rp00656  en_US 
dc.description.nature  link_to_OA_fulltext   
dc.identifier.hkuros  223631  en_US 
dc.identifier.spage  122   
dc.identifier.epage  122   