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

作者：Tian, Xuezhe^*; Xiao, Gaobiao; Fang, Jinpeng

来源：IEEE Transactions on Antennas and Propagation, 2015, 63(3): 1180-1183.

DOI：10.1109/TAP.2015.2389247

• Helmholtz decomposition
• loop-flower
• low-frequency instability
• marching on in time (MOT)
• time-domain electric field integral equation (TD-EFIE)

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.

• 出版日期2015-3
• 单位上海交通大学