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

Sadeed B. Sayed; Huseyin Ulku; Hakan Bagci

doi:10.1109/APUSNCURSINRSM.2017.8072610

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

Sadeed B. Sayed, Huseyin Ulku, Hakan Bagci

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

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.

Original language	English (US)
Title of host publication	2017 IEEE Antennas and Propagation Society International Symposium, Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1135-1136
Number of pages	2
ISBN (Electronic)	9781538632840
DOIs	https://doi.org/10.1109/APUSNCURSINRSM.2017.8072610
State	Published - Oct 18 2017
Event	2017 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2017 - San Diego, United States Duration: Jul 9 2017 → Jul 14 2017

Publication series

Name	2017 IEEE Antennas and Propagation Society International Symposium, Proceedings
Volume	2017-January

Conference

Conference	2017 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2017
Country/Territory	United States
City	San Diego
Period	07/9/17 → 07/14/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

ASJC Scopus subject areas

Radiation
Computer Networks and Communications
Instrumentation

Access to Document

10.1109/APUSNCURSINRSM.2017.8072610

Cite this

Sayed, S. B., Ulku, H., & Bagci, H. (2017). An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers. In 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings (pp. 1135-1136). (2017 IEEE Antennas and Propagation Society International Symposium, Proceedings; Vol. 2017-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APUSNCURSINRSM.2017.8072610

Sayed, Sadeed B. ; Ulku, Huseyin ; Bagci, Hakan. / An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers. 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 1135-1136 (2017 IEEE Antennas and Propagation Society International Symposium, Proceedings).

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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.",

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Sayed, SB, Ulku, H & Bagci, H 2017, An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers. in 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings. 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings, vol. 2017-January, Institute of Electrical and Electronics Engineers Inc., pp. 1135-1136, 2017 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2017, San Diego, United States, 07/9/17. https://doi.org/10.1109/APUSNCURSINRSM.2017.8072610

An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers. / Sayed, Sadeed B.; Ulku, Huseyin; Bagci, Hakan.
2017 IEEE Antennas and Propagation Society International Symposium, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1135-1136 (2017 IEEE Antennas and Propagation Society International Symposium, Proceedings; Vol. 2017-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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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.

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Sayed SB, Ulku H, Bagci H. An explicit MOT scheme for solving the TD-EFVIE on nonlinear and dispersive scatterers. In 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 1135-1136. (2017 IEEE Antennas and Propagation Society International Symposium, Proceedings). doi: 10.1109/APUSNCURSINRSM.2017.8072610

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

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