An Improved Marching-on-in-Degree Method Using a New Temporal Basis

作者：Mei, Zicong^*; Zhang, Yu; Sarkar, Tapan K.; Jung, Baek Ho; Garcia-Lamperez, Alejandro; Salazar-Palma, Magdalena

来源：IEEE Transactions on Antennas and Propagation, 2011, 59(12): 4643-4650.

DOI：10.1109/TAP.2011.2165482

• Laguerre polynomials
• marching-on-in-degree (MOD) method
• marching-on-in-time (MOT) method
• method of moments (MoM)
• time domain electric field integral equation (TD-EFIE)

The marching-on-in-degree (MOD) method has been presented earlier for solving time domain electric field integral equations in a stable fashion. This is accomplished by expanding the transient responses by a complete set of orthogonal entire domain associated Laguerre functions, which helps one to analytically integrate out the time variable from the final computations in a Galerkin methodology. So, the final computations are carried out using only the spatial variables. However, the existing MOD method suffers from low computational efficiency over a marching-on-in-time (MOT) method. The two main causes of the computational inefficiency in the previous MOD method are now addressed using a new form of the temporal basis functions and through a different computational arrangement for the Green's function. In this paper, it is shown that incorporating these two new concepts can speed up the computational process and make it comparable to a MOT algorithm. Sample numerical results are presented to illustrate the validity of these claims in solution of large problems using the MOD method.

• 出版日期2011-12
• 单位西安电子科技大学