Applying p-Step Lagrange Interpolation as Temporal Basis Functions to TDFEM for 3-D EM Radiation Problems

• Published in: Tsinghua science and technology 2010-06, Vol.15 (3), p.307-311
• Main Author: 吴霞 周乐柱
• Format: Article
• Language: chi ; eng
• Subjects: Antennas; Basis functions; Computer simulation; electromagnetic radiation; Holes; Interpolation; Mathematical analysis; p-step Lagrange interpolation; temporal basis function; Temporal logic; time-domain finite element method; Transverse electric modes; ultra-wideband antenna; 基函数; 拉格朗日插值; 时域有限元法; 时空扩展; 电磁辐射; 超宽带天线; 辐射问题
• ISSN: 1007-0214; 1878-7606; 1007-0214
• DOI: 10.1016/S1007-0214(10)70066-3

Accurate simulations of ultra-wideband （UWB） electromagnetic radiation from an antenna were developed based on a time-domain finite element method （TDFEM） based on p-step Lagrange interpolation for the temporal expansion. The motivation was to utilize the good interpolation features and straightforward computations for UWB antenna simulations. Numerical results were obtained from the cases of the cavity resonance problem, a bowtie and a Sierpinski bowtie antenna. Comparisons with an existing TDFEM approach employed linear temporal basis functions show good agreement to demonstrate the validity of the present schemes. The TDFEM with 2-step Lagrange interpolation as the temporal basis functions achieves better numerical results with only a small increase to run time and memory use in terms of the relative errors of the resonant frequency in the cavity for the transverse electric mode and the radiation patterns of the bowtie antenna.