Application of Loop-Flower Basis Functions in the Time-Domain Electric Field Integral Equation

被引:6
|
作者
Tian, Xuezhe [1 ]
Xiao, Gaobiao [1 ]
Fang, Jinpeng [2 ]
机构
[1] Shanghai Jiao Tong Univ, Minist Educ Res Design & EMC High Speed Elect Sys, Key Lab, Shanghai 200240, Peoples R China
[2] Key Lab Electromagnet Environm Effects Aerosp Veh, Shanghai 200438, Peoples R China
基金
美国国家科学基金会;
关键词
Helmholtz decomposition; loop-flower; low-frequency instability; marching on in time (MOT); time-domain electric field integral equation (TD-EFIE); ELECTROMAGNETIC SCATTERING; TRANSIENT SCATTERING; EXPRESSIONS; OBJECTS; SCHEME; SOLVER;
D O I
10.1109/TAP.2015.2389247
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The loop-flower basis functions are applied to get a low-frequency stable time-domain electric field integral equation (TD-EFIE). The quasi-Helmholtz decomposition is performed by the loop-flower basis functions, which are all defined based on mesh nodes. To get a well-posed equation, a temporally differentiated form of the TD-EFIE is tested with the flower function and the undifferentiated form is tested with the loop function. For a robust MOT solver, the averaging scheme is also adopted to alleviate the high-frequency instabilities. Numerical verifications of perfect electric conductor (PEC) transient scattering problems are provided to demonstrate the accuracy and stability of the proposed technique.
引用
收藏
页码:1180 / 1183
页数:4
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