TY - GEN

T1 - An explicit marching on-in-time solver for the time domain volume magnetic field integral equation

AU - Sayed, Sadeed B

AU - Ulku, Huseyin Arda

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2014/7

Y1 - 2014/7

N2 - Transient scattering from inhomogeneous dielectric objects can be modeled using time domain volume integral equations (TDVIEs). TDVIEs are oftentimes solved using marching on-in-time (MOT) techniques. Classical MOT-TDVIE solvers expand the field induced on the scatterer using local spatio-temporal basis functions. Inserting this expansion into the TDVIE and testing the resulting equation in space and time yields a system of equations that is solved by time marching. Depending on the type of the basis and testing functions and the time step, the time marching scheme can be implicit (N. T. Gres, et al., Radio Sci., 36(3), 379-386, 2001) or explicit (A. Al-Jarro, et al., IEEE Trans. Antennas Propag., 60(11), 5203-5214, 2012). Implicit MOT schemes are known to be more stable and accurate. However, under low-frequency excitation, i.e., when the time step size is large, they call for inversion of a full matrix system at very time step.

AB - Transient scattering from inhomogeneous dielectric objects can be modeled using time domain volume integral equations (TDVIEs). TDVIEs are oftentimes solved using marching on-in-time (MOT) techniques. Classical MOT-TDVIE solvers expand the field induced on the scatterer using local spatio-temporal basis functions. Inserting this expansion into the TDVIE and testing the resulting equation in space and time yields a system of equations that is solved by time marching. Depending on the type of the basis and testing functions and the time step, the time marching scheme can be implicit (N. T. Gres, et al., Radio Sci., 36(3), 379-386, 2001) or explicit (A. Al-Jarro, et al., IEEE Trans. Antennas Propag., 60(11), 5203-5214, 2012). Implicit MOT schemes are known to be more stable and accurate. However, under low-frequency excitation, i.e., when the time step size is large, they call for inversion of a full matrix system at very time step.

UR - http://hdl.handle.net/10754/564947

UR - http://ieeexplore.ieee.org/document/6955668/

UR - http://www.scopus.com/inward/record.url?scp=84916229022&partnerID=8YFLogxK

U2 - 10.1109/USNC-URSI.2014.6955668

DO - 10.1109/USNC-URSI.2014.6955668

M3 - Conference contribution

SN - 9781479937462

BT - 2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -