On the DC loop modes in the MOT solution of the time domain EFIE

Yifei Shi; Hakan Bagci; Mingyu Lu

doi:10.1109/APS.2014.6905272

On the DC loop modes in the MOT solution of the time domain EFIE

Yifei Shi, Hakan Bagci, Mingyu Lu

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

1 Scopus citations

Abstract

When marching-on-in-time (MOT) method is applied to solve the time domain electric field integral equation (TD-EFIE), DC loop modes are always observed in the solution. In theory these modes should not be observed since they do not satisfy the relaxed initial conditions. Their appearance is attributed to numerical errors. It is shown here that when Rao-Wilton-Glisson basis and Lagrange interpolation functions are used to discretize the TD-EFIE, errors due to this space-time discretization have zero impact on the DC loop modes. Numerical experiments demonstrate that the numerical errors due to approximate solution of the MOT matrix system have more dominant impact on DC loop modes in the MOT solution.

Original language	English (US)
Title of host publication	2014 IEEE Antennas and Propagation Society International Symposium (APSURSI)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1891-1892
Number of pages	2
ISBN (Print)	9781479935406
DOIs	https://doi.org/10.1109/APS.2014.6905272
State	Published - Jul 2014

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10.1109/APS.2014.6905272

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title = "On the DC loop modes in the MOT solution of the time domain EFIE",

abstract = "When marching-on-in-time (MOT) method is applied to solve the time domain electric field integral equation (TD-EFIE), DC loop modes are always observed in the solution. In theory these modes should not be observed since they do not satisfy the relaxed initial conditions. Their appearance is attributed to numerical errors. It is shown here that when Rao-Wilton-Glisson basis and Lagrange interpolation functions are used to discretize the TD-EFIE, errors due to this space-time discretization have zero impact on the DC loop modes. Numerical experiments demonstrate that the numerical errors due to approximate solution of the MOT matrix system have more dominant impact on DC loop modes in the MOT solution.",

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AU - Shi, Yifei

AU - Bagci, Hakan

AU - Lu, Mingyu

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

PY - 2014/7

Y1 - 2014/7

N2 - When marching-on-in-time (MOT) method is applied to solve the time domain electric field integral equation (TD-EFIE), DC loop modes are always observed in the solution. In theory these modes should not be observed since they do not satisfy the relaxed initial conditions. Their appearance is attributed to numerical errors. It is shown here that when Rao-Wilton-Glisson basis and Lagrange interpolation functions are used to discretize the TD-EFIE, errors due to this space-time discretization have zero impact on the DC loop modes. Numerical experiments demonstrate that the numerical errors due to approximate solution of the MOT matrix system have more dominant impact on DC loop modes in the MOT solution.

AB - When marching-on-in-time (MOT) method is applied to solve the time domain electric field integral equation (TD-EFIE), DC loop modes are always observed in the solution. In theory these modes should not be observed since they do not satisfy the relaxed initial conditions. Their appearance is attributed to numerical errors. It is shown here that when Rao-Wilton-Glisson basis and Lagrange interpolation functions are used to discretize the TD-EFIE, errors due to this space-time discretization have zero impact on the DC loop modes. Numerical experiments demonstrate that the numerical errors due to approximate solution of the MOT matrix system have more dominant impact on DC loop modes in the MOT solution.

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DO - 10.1109/APS.2014.6905272

M3 - Conference contribution

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EP - 1892

BT - 2014 IEEE Antennas and Propagation Society International Symposium (APSURSI)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

On the DC loop modes in the MOT solution of the time domain EFIE

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