Single-source time-domain electric-and magnetic-field integral equations for analyzing scattering from homogeneous penetrable objects are presented. Their temporal discretization is effected by using shifted piecewise polynomial temporal basis functions and a collocation testing procedure, thus allowing for a marching-on-in-time (MOT) solution scheme. Unlike dual-source formulations, single-source equations involve space-time domain operator products, for which spatial discretization techniques developed for standalone operators do not apply. Here, the spatial discretization of the single-source time-domain integral equations is achieved by using the high-order divergence-conforming basis functions developed by Graglia alongside the high-order divergence-and quasi curl-conforming (DQCC) basis functions of Valdés The combination of these two sets allows for a well-conditioned mapping from div-to curl-conforming function spaces that fully respects the space-mapping properties of the space-time operators involved. Numerical results corroborate the fact that the proposed procedure guarantees accuracy and stability of the MOT scheme. © 2012 IEEE.
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Manuscript received February 17, 2012; revised June 15, 2012; accepted August 20, 2012. Date of publication November 15, 2012; date of current version February 27, 2013. This work was supported by the National Science Foundation under Grant DMS 0713771, the AFOSR/NSSEFF Program under Award FA9550-10-1-0180, Sandia under the Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms,", the Institut Mines-Telecom under the Grant "Futur et Ruptures CPCR11322," and KAUST uder Grant 399813.
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Condensed Matter Physics