TY - GEN
T1 - An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers
AU - Sayed, Sadeed B
AU - Ulku, H. Arda
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2017/10/25
Y1 - 2017/10/25
N2 - An explicit marching-on-in-time (MOT) scheme for solving the time domain electric field volume integral equation (TD-EFVIE) on nonlinear and dispersive scatterers is described. The unknown electric field intensity, electric flux density, and polarization densities representing Kerr nonlinearity along with Lorentz dispersion relation, all of which are induced inside the scatterer upon excitation, are expanded using half and full Schaubert-Wilton-Glisson functions in space. The TD-EFVIE and the constitutive relations between polarization, field, and flux terms are cast in the form of a first-order ordinary differential equation. The resulting matrix system is integrated in time using a predictor-corrector scheme to obtain the time dependent unknown expansion coefficients. The resulting MOT scheme is explicit and accounts for nonlinearity by simple function evaluations.
AB - An explicit marching-on-in-time (MOT) scheme for solving the time domain electric field volume integral equation (TD-EFVIE) on nonlinear and dispersive scatterers is described. The unknown electric field intensity, electric flux density, and polarization densities representing Kerr nonlinearity along with Lorentz dispersion relation, all of which are induced inside the scatterer upon excitation, are expanded using half and full Schaubert-Wilton-Glisson functions in space. The TD-EFVIE and the constitutive relations between polarization, field, and flux terms are cast in the form of a first-order ordinary differential equation. The resulting matrix system is integrated in time using a predictor-corrector scheme to obtain the time dependent unknown expansion coefficients. The resulting MOT scheme is explicit and accounts for nonlinearity by simple function evaluations.
UR - http://hdl.handle.net/10754/625951
UR - http://ieeexplore.ieee.org/document/8072610/
UR - http://www.scopus.com/inward/record.url?scp=85042285600&partnerID=8YFLogxK
U2 - 10.1109/apusncursinrsm.2017.8072610
DO - 10.1109/apusncursinrsm.2017.8072610
M3 - Conference contribution
AN - SCOPUS:85042285600
SN - 9781538632840
SP - 1135
EP - 1136
BT - 2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -