A quasi-static modification of TLM at knife edge and 90° wedge singularities

Cascio, L. Lo; Tardioli, G.; Rozzi, T.; Hoefer, W.J.R.

doi:10.1109/22.554591

Cited by 22 publications

(7 citation statements)

References 6 publications

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“…Reference [15]. Numerous approaches have been proposed to deal with this problem ranging from quasi-static modifications in the edge vicinity [16] to hybrid FDTD=wavelet techniques [17].…”

Section: Discussionmentioning

confidence: 99%

“…The waveform of each component of the original field is recorded at several locations in order to be compared with the waveform of the respective field component generated by the pair of equivalent potential sources (16). In this particular example, P e ¼ 0 and H x ¼ 0; because the original set of currents has no electric components.…”

Section: Example Of Source Scalarizationmentioning

confidence: 99%

“…Once the sources are scalarized along # n n; the solution is found in terms of the corresponding scalar wave potentials governed by (15) whose right-hand side contains the sources given in (16 If necessary, the field can be computed using…”

Section: Equivalent Source Transformations [7]mentioning

confidence: 99%

“…The equivalent sources appear as planar electric and magnetic current density distributions G A z ðx; y; tÞ and G F z ðx; y; tÞ across the rectangular transverse planes bounded by the metallic walls at both sides of the septum. They are calculated according to (16).…”

Section: Waveguide Septummentioning

confidence: 99%

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Uniaxial approach to time‐domain computations using electromagnetic potentials

Nikolova

2004

Int J Numerical Modelling

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SUMMARYA new approach to transient electromagnetic (EM) analysis in terms of wave potentials is presented. It is based on the EM field and source scalarization in a non-uniform medium. The algorithm computes two scalar wave functions of space-time, which constitute a complete 3-D solution. They represent the time-dependent values of two collinear (electric and magnetic) vector potentials of known fixed direction throughout the computational volume. Auxiliary source functions are also computed but only at the location of material non-uniformities. A finite-difference implementation in the case of metallic boundaries and inclusions is considered. The algorithm offers approximately 30% reduction of the computation time and memory requirements in comparison with the FDTD method based on the Maxwell curl equations. The technique is illustrated with a number of waveguide examples.

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“…Reference [15]. Numerous approaches have been proposed to deal with this problem ranging from quasi-static modifications in the edge vicinity [16] to hybrid FDTD=wavelet techniques [17].…”

Section: Discussionmentioning

confidence: 99%

Section: Example Of Source Scalarizationmentioning

confidence: 99%

Section: Equivalent Source Transformations [7]mentioning

confidence: 99%

Section: Waveguide Septummentioning

confidence: 99%

See 2 more Smart Citations

Uniaxial approach to time‐domain computations using electromagnetic potentials

Nikolova

2004

Int J Numerical Modelling

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“…These involve integrable sharp singularities of the electromagnetic (EM) field, localized around the corners, [1][2][3][4][5][6] which, in turn, cause considerable difficulties for the numerical electromagnetic simulators as they force to have recourse to finer or variable meshing. 1 2 Full-wave numerical techniques in time/frequency-domain like the Finite Difference in Time/Frequency Domain (FD-TD/FD) are efficient and flexible techniques for the analysis of a large class of electromagnetic problems.…”

Section: Introductionmentioning

confidence: 99%

Near Field and Optical Diffraction of 3D Dielectric Corner by Transmission Line Modeling and Multipole Expansion of Green's Function

Massaro¹,

Cingolani²,

Passaseo³

et al. 2009

Jnl of Comp & Theo Nano

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We propose a novel modeling of the dielectric cubic corner, that is suitable for inclusion in a standard electromagnetic (EM) simulator. The model starts from a consideration of the equivalent current densities on the cube facets. It proceeds by employing a classical multipole expansion of the Green's function at the corner and introduces the novel principle of Simultaneous Transverse Resonance Diffraction (STRD) in order to determine the singularity of the EM field. The novel STRD approach considers the analogy between the EM field in proximity of the 90 deg. dielectric corner and resonant transmission lines. We combined the analytical and the numerical approaches in order to obtain an efficient numerical procedure. The theory is validated by standard finite element method (FEM) simulation, yielding information about the accuracy of the near field around the dielectric corner.

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Analysis of microstrip lines with diagonal edges using a singularity-enhanced FDTD technique

Foroughipour

1999

Microw. Opt. Technol. Lett.

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A quasi-static modification of TLM at knife edge and 90° wedge singularities

Cited by 22 publications

References 6 publications

Uniaxial approach to time‐domain computations using electromagnetic potentials

Uniaxial approach to time‐domain computations using electromagnetic potentials

Near Field and Optical Diffraction of 3D Dielectric Corner by Transmission Line Modeling and Multipole Expansion of Green's Function

Analysis of microstrip lines with diagonal edges using a singularity-enhanced FDTD technique

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