An improved marching-on-in-degree method using a new temporal basis

Zicong Mei, Yu Zhang, Tapan K. Sarkar, Baek Ho Jung, Alejandro García-Lampérez, Magdalena Salazar-Palma

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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.

Original languageEnglish (US)
Article number5991924
Pages (from-to)4643-4650
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Issue number12
StatePublished - Dec 2011


  • 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)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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