An explicit MOT-TDVIE scheme for analyzing electromagnetic field interactions on nonlinear scatterers

Huseyin Arda Ulku; Sadeed B Sayed; Hakan Bagci

doi:10.1109/COMPEM.2015.7052570

An explicit MOT-TDVIE scheme for analyzing electromagnetic field interactions on nonlinear scatterers

Huseyin Arda Ulku, Sadeed B Sayed, Hakan Bagci

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

4 Scopus citations

Abstract

An explicit marching on-in-time (MOT) based time domain electric field volume integral equation (TDVIE) solver for characterizing electromagnetic wave interactions on scatterers with nonlinear material properties is proposed. Discretization of the unknown electric field intensity and flux density is carried out by half and full Schaubert-Wilton-Glisson basis functions, respectively. Coupled system of spatially discretized TDVIE and the nonlinear constitutive relation between the field intensity and the flux density is integrated in time to compute the samples of the unknowns. An explicit PE(CE)m scheme is used for this purpose. Explicitness allows for 'easy' incorporation of the nonlinearity as a function only to be evaluated on the right hand side of the coupled system of equations. A numerical example that demonstrates the applicability of the proposed MOT scheme to analyzing electromagnetic interactions on Kerr-nonlinear scatterers is presented. © 2015 IEEE.

Original language	English (US)
Title of host publication	2015 IEEE International Conference on Computational Electromagnetics
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	101-103
Number of pages	3
ISBN (Print)	9781479962815
DOIs	https://doi.org/10.1109/COMPEM.2015.7052570
State	Published - Feb 2015

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KAUST Repository Item: Exported on 2020-10-01

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10.1109/COMPEM.2015.7052570

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title = "An explicit MOT-TDVIE scheme for analyzing electromagnetic field interactions on nonlinear scatterers",

abstract = "An explicit marching on-in-time (MOT) based time domain electric field volume integral equation (TDVIE) solver for characterizing electromagnetic wave interactions on scatterers with nonlinear material properties is proposed. Discretization of the unknown electric field intensity and flux density is carried out by half and full Schaubert-Wilton-Glisson basis functions, respectively. Coupled system of spatially discretized TDVIE and the nonlinear constitutive relation between the field intensity and the flux density is integrated in time to compute the samples of the unknowns. An explicit PE(CE)m scheme is used for this purpose. Explicitness allows for 'easy' incorporation of the nonlinearity as a function only to be evaluated on the right hand side of the coupled system of equations. A numerical example that demonstrates the applicability of the proposed MOT scheme to analyzing electromagnetic interactions on Kerr-nonlinear scatterers is presented. {\textcopyright} 2015 IEEE.",

author = "Ulku, {Huseyin Arda} and Sayed, {Sadeed B} and Hakan Bagci",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2015",

month = feb,

doi = "10.1109/COMPEM.2015.7052570",

language = "English (US)",

isbn = "9781479962815",

pages = "101--103",

booktitle = "2015 IEEE International Conference on Computational Electromagnetics",

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An explicit MOT-TDVIE scheme for analyzing electromagnetic field interactions on nonlinear scatterers. / Ulku, Huseyin Arda; Sayed, Sadeed B ; Bagci, Hakan.
2015 IEEE International Conference on Computational Electromagnetics. Institute of Electrical and Electronics Engineers (IEEE), 2015. p. 101-103.

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

TY - GEN

T1 - An explicit MOT-TDVIE scheme for analyzing electromagnetic field interactions on nonlinear scatterers

AU - Ulku, Huseyin Arda

AU - Sayed, Sadeed B

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2015/2

Y1 - 2015/2

N2 - An explicit marching on-in-time (MOT) based time domain electric field volume integral equation (TDVIE) solver for characterizing electromagnetic wave interactions on scatterers with nonlinear material properties is proposed. Discretization of the unknown electric field intensity and flux density is carried out by half and full Schaubert-Wilton-Glisson basis functions, respectively. Coupled system of spatially discretized TDVIE and the nonlinear constitutive relation between the field intensity and the flux density is integrated in time to compute the samples of the unknowns. An explicit PE(CE)m scheme is used for this purpose. Explicitness allows for 'easy' incorporation of the nonlinearity as a function only to be evaluated on the right hand side of the coupled system of equations. A numerical example that demonstrates the applicability of the proposed MOT scheme to analyzing electromagnetic interactions on Kerr-nonlinear scatterers is presented. © 2015 IEEE.

AB - An explicit marching on-in-time (MOT) based time domain electric field volume integral equation (TDVIE) solver for characterizing electromagnetic wave interactions on scatterers with nonlinear material properties is proposed. Discretization of the unknown electric field intensity and flux density is carried out by half and full Schaubert-Wilton-Glisson basis functions, respectively. Coupled system of spatially discretized TDVIE and the nonlinear constitutive relation between the field intensity and the flux density is integrated in time to compute the samples of the unknowns. An explicit PE(CE)m scheme is used for this purpose. Explicitness allows for 'easy' incorporation of the nonlinearity as a function only to be evaluated on the right hand side of the coupled system of equations. A numerical example that demonstrates the applicability of the proposed MOT scheme to analyzing electromagnetic interactions on Kerr-nonlinear scatterers is presented. © 2015 IEEE.

UR - http://hdl.handle.net/10754/565018

UR - http://ieeexplore.ieee.org/document/7052570/

UR - http://www.scopus.com/inward/record.url?scp=84926323408&partnerID=8YFLogxK

U2 - 10.1109/COMPEM.2015.7052570

DO - 10.1109/COMPEM.2015.7052570

M3 - Conference contribution

SN - 9781479962815

SP - 101

EP - 103

BT - 2015 IEEE International Conference on Computational Electromagnetics

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

An explicit MOT-TDVIE scheme for analyzing electromagnetic field interactions on nonlinear scatterers

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