FDTD formulation for dispersive chiral media using the Z transform method

Demir, Veysel; Elsherbeni, Atef Z.; Arvas, E.

doi:10.1109/tap.2005.856328

Cited by 65 publications

(55 citation statements)

References 30 publications

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“…It is not very difficult for us to extend the proposed method for frequency dependent materials. The TDIE method based on the MOD procedure is one of the recursive convolution techniques that allow linear dispersion to be incorporated like FDTD [31,32] formulation. The extention of the MOD based TDIE method for radiation problems of arbitrarily shaped wire antenna interacting with dispersive BI objects will be considered as the future work.…”

Section: Resultsmentioning

confidence: 99%

Time-Domain Integral Equation Solver for Radiation From Dipole Antenna Loaded With General Bi-Isotropic Objects

Zhu¹,

Wu²,

Zhang³

et al. 2011

PIER B

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Abstract-Electromagnetic radiation by dipole antenna loaded with general bi-isotropic objects is investigated using time-domain integral equations. By introducing pairs of equivalent electric and magnetic sources, electromagnetic fields inside a homogeneous bi-isotropic region can be represented by these sources over its boundary. A series of coupled surface integral equations are obtained after imposing boundary conditions. These equations are solved numerically by the Galerkin's method that involves separate spatial and temporal testing procedures. The scaled Laguerre functions are used as the temporal basis and testing functions. The use of the Laguerre functions completely removes the time variable from computation, and the results are stable even at late times. Numerical results are presented and compared with analytical results, and similarities and differences are observed.

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Section: Resultsmentioning

confidence: 99%

Time-Domain Integral Equation Solver for Radiation From Dipole Antenna Loaded With General Bi-Isotropic Objects

Zhu¹,

Wu²,

Zhang³

et al. 2011

PIER B

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Section: Extension To the Dispersive Casementioning

confidence: 99%

“…While there have been many frequencydomain techniques reported, very little work has been done in the timedomain. The time-domain schemes available for Chiral media focus on the finite difference method, such as the finite-different time-domain (FDTD) [12][13][14], the conformal FDTD [7], the BI-FDTD [15], and so on. The analysis examples were restricted to chiral spheres whose solutions can be analytically calculated with the modal expansion theory.…”

Section: Introductionmentioning

confidence: 99%

A Time Domain Integral Equation Solver for Scattering From General Chiral Objects

Ye¹,

Wu²

2012

PIER M

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Abstract-In this paper, transient electromagnetic scattering by general Chiral objects is investigated using time-domain integral equations with the Poggio, Miller, Chang, Harrington, Wu, and Tsai (PMCHWT) formulations. By introducing a pair of equivalent electric and magnetic currents, electromagnetic fields inside a homogeneous Chiral region can be represented by these sources over its boundary. The uncoupled equations are solved numerically by the Galerkin's method that involves separate spatial and temporal testing procedures. The scaled Laguerre functions are used as the temporal basis and testing functions. The use of the Laguerre functions completely removes the time variable from computation, and the results are stable even at late times. Numerical results are presented and compared with analytical results, and good agreements are observed.

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“…It has been also proposed as a way to achieve negative refraction index (Pendry, 2004;Tretyakov et al, 2005). Also, many papers on the analysis of free and guided electromagnetic wave propagation through chiral media have been published, both in time (González-García et al, 1998;Demir et al, 2005;Pereda et al, 2006) and frequency (Xu et al, 1995;Alú et al, 2003;Pitarch et al, 2007;Gómez et al, 2010) domain. For this reason, during the last years, there has been an extensive research on new designs that enhance the above-mentioned properties, as we will see in the next sections of this chapter.…”

Section: Chiral Materialsmentioning

confidence: 99%