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

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    Type
    Conference Paper
    Authors
    Sayed, Sadeed B cc
    Ulku, H. Arda
    Bagci, Hakan cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2017-10-25
    Online Publication Date
    2017-10-25
    Print Publication Date
    2017-07
    Permanent link to this record
    http://hdl.handle.net/10754/625951
    
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    Abstract
    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.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting
    DOI
    10.1109/apusncursinrsm.2017.8072610
    Additional Links
    http://ieeexplore.ieee.org/document/8072610/
    ae974a485f413a2113503eed53cd6c53
    10.1109/apusncursinrsm.2017.8072610
    Scopus Count
    Collections
    Conference Papers; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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