TY - JOUR
T1 - A time-domain volume integral equation and its marching-on-in-degree solution for analysis of dispersive dielectric objects
AU - Shi, Yan
AU - Jin, Jian Ming
N1 - Funding Information:
Manuscript received May 12, 2010; revised July 26, 2010; accepted July 31, 2010. Date of publication December 30, 2010; date of current version March 02, 2011. This work was supported in part by the National Natural Science Foundation of China under Contracts 60801040 and 61072017, by the Natural Science Basic Research Plan in Shaanxi Province of China (Program 2010JQ8013), by the Program for New Century Excellent Talents in University of China, by National Key Laboratory Foundation, by the Fundamental Research Funds for the Central Universities, and by the China Scholarship Council (CSC).
PY - 2011/3
Y1 - 2011/3
N2 - A marching-on-in-degree (MOD)-based scheme for analyzing transient electromagnetic scattering from three-dimensional dispersive dielectric objects is proposed. A time-domain volume integral equation (TDVIE) for the electric flux density throughout the object is first formulated and then solved using the MOD scheme. With the use of weighted Laguerre polynomials as entire-domain temporal basis functions, the convolution of the electric flux density and the medium susceptibility and its derivatives can be handled analytically. By employing the Galerkin temporal testing procedure, the time variable is eliminated in the resultant recursive matrix equation so that the proposed algorithm overcomes the late-time instability problem that may occur in the conventional marching-on-in-time (MOT) approach. Some complex dispersive media, such as the Debye, Lorentz, and Drude media, are simulated to illustrate the validity of the TDVIE-MOD algorithm.
AB - A marching-on-in-degree (MOD)-based scheme for analyzing transient electromagnetic scattering from three-dimensional dispersive dielectric objects is proposed. A time-domain volume integral equation (TDVIE) for the electric flux density throughout the object is first formulated and then solved using the MOD scheme. With the use of weighted Laguerre polynomials as entire-domain temporal basis functions, the convolution of the electric flux density and the medium susceptibility and its derivatives can be handled analytically. By employing the Galerkin temporal testing procedure, the time variable is eliminated in the resultant recursive matrix equation so that the proposed algorithm overcomes the late-time instability problem that may occur in the conventional marching-on-in-time (MOT) approach. Some complex dispersive media, such as the Debye, Lorentz, and Drude media, are simulated to illustrate the validity of the TDVIE-MOD algorithm.
KW - Electric flux density
KW - marching-on-in-degree (MOD)
KW - medium susceptibility
KW - time-domain volume integral equation (TDVIE)
KW - weighted Laguerre polynomials
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U2 - 10.1109/TAP.2010.2103038
DO - 10.1109/TAP.2010.2103038
M3 - Article
AN - SCOPUS:79952167268
SN - 0018-926X
VL - 59
SP - 969
EP - 978
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 3
M1 - 5677595
ER -