Time‐domain electric‐field integral equation with central finite difference

Jung, Baek Ho; Sarkar, Tapan K.

doi:10.1002/mop.10055

Cited by 38 publications

(36 citation statements)

References 10 publications

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“…Even though employing the implicit technique, the stability and accuracy are dependent on the choice of the time step. A central finite difference methodology with the TD-EFIE is presented to improve the stability and the accuracy in [9] and [10]. The MOT scheme for the TD-MFIE is presented in [11], the results of which are more stable than those of the TD-EFIE.…”

Section: Introductionmentioning

confidence: 99%

Time-Domain EFIE, MFIE, and CFIE Formulations Using Laguerre Polynomials as Temporal Basis Functions for the Analysis of Transient Scattering from Arbitrary Shaped Conducting Structures

Jung¹,

Chung²,

Sarkar³

2003

PIER

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Abstract-In this paper, we present time-domain integral equation (TDIE) formulations for analyzing transient electromagnetic responses from three-dimensional (3-D) arbitrary shaped closed conducting bodies using the time-domain electric field integral equation (TD-EFIE), the time-domain magnetic field integral equation (TD-MFIE), and the time-domain combined field integral equation (TD-CFIE). Instead of the conventional marching-on in time (MOT) technique, the solution methods in this paper are based on the Galerkin's method that involves separate spatial and temporal testing procedure. Triangular patch basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D structures. The timedomain unknown coefficient is approximated by using an orthonormal basis function set that is derived from the Laguerre functions. These basis functions are also used as temporal testing. Using these Laguerre functions it is possible to evaluate the time derivatives in an analytic 2 Jung, Chung, and Sarkar fashion. We also propose a second alternative formulation to solve the TDIE. The methods to be described result in very accurate and stable transient responses from conducting objects. Detailed mathematical steps are included and representative numerical results are presented and compared.

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Section: Introductionmentioning

confidence: 99%

Time-Domain EFIE, MFIE, and CFIE Formulations Using Laguerre Polynomials as Temporal Basis Functions for the Analysis of Transient Scattering from Arbitrary Shaped Conducting Structures

Jung¹,

Chung²,

Sarkar³

2003

PIER

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“…A serious drawback of this algorithm is the occurrence of late-time instabilities in the form of high frequency oscillation. Several MOT formulations have been presented for the solution of the electromagnetic scattering from arbitrarily shaped 3-D structures using triangular patch modeling technique [2][3][4][5][6][7][8][9]. An explicit solution has been presented by differentiating the coupled integral equations and using second order finite difference [2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Even though employing the implicit technique, the solution obtained by using MOT has still late-time oscillation that is dependent on the choice of the time step. For perfectly conducting bodies, a central finite difference methodology with the TD-EFIE is presented to improve the stability and the accuracy of the solution [8]. Even after all these modifications used in [8], when one applies it to analyze dielectric structures, one is not guaranteed to obtain a stable solution.…”

Section: Introductionmentioning

confidence: 99%

Time Domain Efie and Mfie Formulations for Analysis of Transient Electromagnetic Scattering From 3-D Dielectric Objects

Jung

Sarkar²,

Salazar-Palma

2004

PIER

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Abstract-In this paper, we investigate various methods for solving a time-domain electric field integral equation (TD-EFIE) and a timedomain magnetic field integral equation (TD-MFIE) for analyzing the transient electromagnetic response from three-dimensional (3-D) dielectric bodies. The solution method in this paper is based on the method of moments (MoM) that involves separate spatial and temporal testing procedures. Triangular patch basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D dielectric structures. The time-domain unknown coefficients of the equivalent electric and magnetic currents are approximated using a set of orthogonal basis functions that is derived from the Laguerre functions. These basis functions are also used as the temporal testing. Numerical results involving equivalent currents and far fields computed by the proposed TD-EFIE and TD-MFIE formulations are presented and compared.

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“…Because the temporal basis function does not have continuous derivative, the derivative of the current is approximated by a finite difference [1][2][3][4]. Some researchers have used other temporal basis function that has successive continuous derivatives [6,7].…”

Section: Mot Algorithmmentioning

confidence: 99%

“…The electromagnetic community has been seriously engaged in the numerical solution of TDIE for over twenty years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. An integral equation method requires only a surface discretization that is sometimes preferred over the differential one using a volumetric discretization and does not need absorbing boundary conditions [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Marching-on in Time Method With Marching-on in Degree Method for the Tdie Solver

Jung¹,

Ji²,

Sarkar³

et al. 2007

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Time‐domain electric‐field integral equation with central finite difference

Cited by 38 publications

References 10 publications

Time-Domain EFIE, MFIE, and CFIE Formulations Using Laguerre Polynomials as Temporal Basis Functions for the Analysis of Transient Scattering from Arbitrary Shaped Conducting Structures

Time-Domain EFIE, MFIE, and CFIE Formulations Using Laguerre Polynomials as Temporal Basis Functions for the Analysis of Transient Scattering from Arbitrary Shaped Conducting Structures

Time Domain Efie and Mfie Formulations for Analysis of Transient Electromagnetic Scattering From 3-D Dielectric Objects

A Comparison of Marching-on in Time Method With Marching-on in Degree Method for the Tdie Solver

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