An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers

Sadeed B Sayed, H. Arda Ulku, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


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.
Original languageEnglish (US)
Title of host publication2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages2
ISBN (Print)9781538632840
StatePublished - Oct 25 2017


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