An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers
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Conference PaperKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering Program
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2017-10-25Online Publication Date
2017-10-25Print Publication Date
2017-07Permanent link to this record
http://hdl.handle.net/10754/625951
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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.Citation
Sayed SB, Ulku HA, Bagci H (2017) An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers. 2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. Available: http://dx.doi.org/10.1109/apusncursinrsm.2017.8072610.Additional Links
http://ieeexplore.ieee.org/document/8072610/ae974a485f413a2113503eed53cd6c53
10.1109/apusncursinrsm.2017.8072610