An improved near- to far-zone transformation for the finite-difference time-domain method

Martin, T.

doi:10.1109/8.719968

Cited by 47 publications

(25 citation statements)

References 35 publications

(40 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although DGF can also provide a global absorbing boundary condition (ABC) in the FDTD method, computational efficiency of global ABCs is very low in comparison to PMLs. The developed techniques are consistent with the equivalence theorem in the discrete domain [29,30].…”

Section: Dgf Applications In the Fdtd Methodssupporting

confidence: 54%

“…For instance, R x is equal to 64.3545 for the cell (10,20,30) and s x = s y = s z = 1/ √ 3. The exact representation of the fractional shift α = R x − R x requires execution of the resampling process.…”

Section: Application Of Cgf Instead Of Dgf In the Fdtd Methodsmentioning

confidence: 99%

“…Fig. 2(a) shows implementation (12)- (14) of CFG for the cell (10,20,30). Its filtration (15) of sin π(n + α)/(π(n + α)) is shown in Fig.…”

Section: Application Of Cgf Instead Of Dgf In the Fdtd Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Applications of the Discrete Green's Function in the Finite-Difference Time-Domain Method

Stefański¹

2013

PIER

View full text Add to dashboard Cite

Abstract-In this paper, applications of the discrete Green's function (DGF) in the three-dimensional finite-difference time-domain (FDTD) method are presented. The FDTD method on disjoint domains was developed employing DGF to couple the FDTD domains as well as to compute the electromagnetic field outside these domains. Hence, source and scatterer are simulated in separate domains and updating of vacuum cells, being of little interest from a user point of view, can be avoided. In the developed method, the field radiated by an FDTD domain is computed as a convolution of DGF with equivalent current sources measured over two displaced Huygens surfaces. Therefore, the computed electromagnetic field is compatible with the FDTD grid and can be applied as an incident wave in a coupled totalfield/scattered-field domain. In the developed method, the DGF waveforms are truncated using the Hann's window and windowing parameters assuring accuracy of computations are pointed out. The error of the field computations varies between −90 dB and −40 dB depending on the DGF length and excitation waveform. However, if the DGF length is equal to the number of iterations in a simulation, the presented DGF-based techniques return the same results as the direct FDTD method.

show abstract

Section: Dgf Applications In the Fdtd Methodssupporting

confidence: 54%

Section: Application Of Cgf Instead Of Dgf In the Fdtd Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Applications of the Discrete Green's Function in the Finite-Difference Time-Domain Method

Stefański¹

2013

PIER

View full text Add to dashboard Cite

show abstract

“…According to (9) and (13), the multi-domain method can be summed up as the following approximation of (2):…”

Section: Full Scheme Of the Multi-domain Methodsmentioning

confidence: 99%

Efficient Treatment of 3d Time-Domain Electromagnetic Scattering Scenes by Disjointing Sub-Domains and With Consistent Approximations

Mouysset¹,

Mazet²,

Borderies³

2007

PIER

View full text Add to dashboard Cite

Abstract-Aim of this paper is to present an efficient scheme of domain decomposition to study, in the time domain, multiple scattering by separated obstacles and sources with any composition and geometry, in an homogeneous media. A method of decomposition into disjointed sub-domains is proposed, resting onto an homogeneous and adaptable approximation of coupling terms and leading to a natural parallelized and hybrid numerical schema. It permits to significantly lower the cumulative error of dissipation and/or dispersion introduced by classical scheme. It also leads to a suitable answer for a wide class of problems involving large scattering scenes limiting for classical time domain methods. Numerical examples are given to illustrate it. 42Mouysset, Mazet, and Borderies

show abstract

“…(15) (16) where the upward and downward propagating waves are marked by the superscripts and , respectively. Although the interface coordinates and do not exist, they cancel out in the final equations, so their values can be chosen arbitrarily (for example, and ).…”

Section: B Calculation Of the Voltage And Current Responsesmentioning

confidence: 99%

A Frequency-Domain Near-Field-to-Far-Field Transform for Planar Layered Media

Capoglu

Taflove

Backman

2012

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

Abstract-We report a frequency-domain near-field-to-far-field transform (NFFFT) for the numerical modeling of radiation and scattering in planar multilayered spaces. Although the results are equivalent to those of Demarest et al. (1996), the formulation is more compact, more stable, and applicable to observation angles in the lower half space. Furthermore, the results are presented in a vector-potential formalism that is more easily adaptable to existing free-space implementations. The NFFFT algorithm can be used in any differential-equation-based finite numerical method, including but not limited to the finite-difference time-domain (FDTD) method and the finite-element method (FEM).Index Terms-FDTD methods, finite difference methods, finite element methods, near-field far-field transformation.

show abstract

An improved near- to far-zone transformation for the finite-difference time-domain method

Cited by 47 publications

References 35 publications

Applications of the Discrete Green's Function in the Finite-Difference Time-Domain Method

Applications of the Discrete Green's Function in the Finite-Difference Time-Domain Method

Efficient Treatment of 3d Time-Domain Electromagnetic Scattering Scenes by Disjointing Sub-Domains and With Consistent Approximations

A Frequency-Domain Near-Field-to-Far-Field Transform for Planar Layered Media

Contact Info

Product

Resources

About