A fast time domain integral equation based scheme for analyzing scattering from dispersive objects

Kobidze, G.; Gao, Jun; Shanker, B.; Michielssen, E.

doi:10.1109/tap.2004.841295

Cited by 51 publications

(44 citation statements)

References 27 publications

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“…Upon excitation, electric field intensity E(r, t) and electric flux density D(r, t) are induced in V . E(r, t) and D(r, t) satisfy the TD-EFVIE [3]:…”

Section: Formulationmentioning

confidence: 99%

“…where q ∈ {L,L}, f f n (r) and f h n (r) are the full and half SWG functions [3], andD(t),Ē(t), andP q (t) are the unknown time dependent coefficients. Inserting (4a)-(4c) into (1) and testing the resulting equation by f h n (r), m = 1, .., N h at discrete times j∆t (with ∆t being the time step) yield: …”

Section: Formulationmentioning

confidence: 99%

“…The proposed solver expands the unknown electric field intensity and flux density and polarization densities using half and full Schaubert-Wilton-Glisson (SWG) basis functions in space [3]. The TD-EFVIE and the constitutive relations between polarization, field, and flux terms are cast in the form of a firstorder ODE which is integrated in time using a linear multistep, P E(CE) m scheme, to yield the unknown time dependent expansion coefficients.…”

Section: Introductionmentioning

confidence: 99%

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

Sayed

Ülkü

Bağcı

2017

2017 IEEE International Symposium on Antennas and Propagation &Amp; USNC/URSI National Radio Science Meeting

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“…Upon excitation, electric field intensity E(r, t) and electric flux density D(r, t) are induced in V . E(r, t) and D(r, t) satisfy the TD-EFVIE [3]:…”

Section: Formulationmentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Sayed

Ülkü

Bağcı

2017

2017 IEEE International Symposium on Antennas and Propagation &Amp; USNC/URSI National Radio Science Meeting

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“…INTRODUCTION ransient analysis of electromagnetic wave interactions on electrically large inhomogeneous dielectric scatterers is called for in various applications of engineering and science ranging from the design of optoelectronic devices and broadband antenna radomes to the study of (un)intentional radiation effects on human tissue/cells [1,2]. Among simulators capable of electromagnetic characterization of such scatterers, time domain electric field volume integral equation (TD-EFVIE) solvers are rapidly gaining ground [3][4][5][6][7]. The TD-EFVIE is constructed by enforcing that the total electric field is equal to the incident electric field plus the scattered electric field radiated by the electric flux density induced throughout the scatterer.…”

Section: > Replace This Line With Your Paper Identification Number (Dmentioning

confidence: 99%

“…In the past, PWTD has been successfully used for accelerating the MOT-based solution of time domain surface and volume integral equations [4,5,25]. When used in tandem with TD-EFVIE solvers, it reduces the abovementioned computational complexity to ( )…”

Section: > Replace This Line With Your Paper Identification Number (Dmentioning

confidence: 99%

Parallel PWTD-Accelerated Explicit Solution of the Time-Domain Electric Field Volume Integral Equation

Liu

Al-Jarro

Bağcı

et al. 2016

IEEE Trans. Antennas Propagat.

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Explicit Marching‐on‐in‐time Solvers for Second‐kind Time Domain Integral Equations

Chen¹,

Sayed²,

Ülkü³

et al. 2022

Advances in Time‐Domain Computational Electromagnetic Methods

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Time domain methods are often preferred over their frequency domain counterparts for numerical electromagnetic analysis since they can produce broadband data from a single simulation, can account for nonlinearities directly, and often provide immediate physical interpretation of the problem's solution. Among the time domain methods, time domain integral equation (TDIE) solvers have recently found widespread use and they have become an attractive alternative to differential equation solvers such 1 as finite difference time domain schemes and time domain finite element method, especially for open region scattering problems. This is because TDIE solvers do not suffer from numerical phase dispersion, do not require approximate radiation boundary conditions (such as absorbing boundary conditions and perfectly matched layers), and their time step size is not restricted by a Courant-Friedrichs-Lewy-like condition. Almost all traditional TDIE solvers utilize an implicit time marching scheme, i.e., they call for solution of a (sparse) matrix at every iteration. This reduces the computational efficiency under low-frequency excitations and makes the use of TDIE solvers in multiphysics frameworks a challenge. To address these challenges, recently, various explicit marching-on-in-time (MOT) schemes have been developed to solve the second kind TDIEs for perfect electrically conducting and dielectric scatterers. This chapter details the formulation and implementation of these TDIE solvers. These schemes cast the second kind TDIE in the form of an ordinary differential equation (ODE).A classical scheme such as those making use of Rao-Wilton-Glisson and Schubert-Wilton-Glisson basis functions and Nyström integration is used for spatial discretization. Then, a predictor-corrector scheme is used to integrate the spatially discretized ODE systems in time for the expansion coefficients of the unknowns. The explicit TDIE solvers described in this chapter use the same time step size as their implicit counterparts without sacrificing from accuracy and stability of the solution. In addition, they are significantly faster under low-frequency excitations. Numerical results are presented to demonstrate these computational benefits.

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A fast time domain integral equation based scheme for analyzing scattering from dispersive objects

Cited by 51 publications

References 27 publications

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

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

Parallel PWTD-Accelerated Explicit Solution of the Time-Domain Electric Field Volume Integral Equation

Explicit Marching‐on‐in‐time Solvers for Second‐kind Time Domain Integral Equations

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