General edge element approach to lossy and dispersive structures in anisotropic media

Pan, George; Tan, Jilin

doi:10.1049/ip-map:19970507

Cited by 10 publications

(6 citation statements)

References 12 publications

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“…We choose t 1 = t 2 = 0.03 mm, w 1 = 0.1 mm, w 2 = 0.05 mm, σ 1 = σ 2 = 5.72 × 10 7 S/m, s = 0.1 mm, h = 0.0635 mm, and ε r = 9.6 for the geometry of the structure. Figures 7–10 plot the solutions for those circuit parameters and they are also close to those in 20. Tables I and II summarize the consumed CPU time T (Seconds) and memory M (Megabytes) for solving the two problems at some frequencies by using the new approach and the conventional approach.…”

Section: Numerical Examplesmentioning

confidence: 66%

“…We select the top width w = 3 mm, the thickness t = 0.3 mm, the angle θ = 45°, and the conductivity σ = 5.72 × 10 7 S/m for the interconnect, and the height h = 0.638 mm and the permittivity ε r = 9.8 for the substrate of the structure. The solutions for α , β , and Z at the frequency below 50 GHz are plotted in Figures 3–5, respectively, and it is found that they are close to those based on the edge element method in 20. In the second example, we extract the circuit parameters [ R ], [ L ], [ C ], and [ G ] for an asymmetric dual interconnect structure as shown in Figure 6.…”

Section: Numerical Examplesmentioning

confidence: 89%

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Efficient extraction of equivalent circuit parameters for interconnect structures based on the Battle‐Lemarie scalet in the method of moments

Tong

2011

Int J Numerical Modelling

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SUMMARYBattle-Lemarie father wavelet is used as a basis function in the method of moments (MoM) for solving interconnect and packaging problems and extracting circuit parameters needed in signal integrity. As the Battle-Lemarie father wavelet or scalet is continuous, symmetric, and much more smooth compared with other wavelets like Franklin, Daubechies, and Coifman wavelets, it is more suitable as a basis function in the MoM for the electromagnetic modeling and simulation of interconnect structures because the unknown functions are involved in derivative operators in the integral equations. Also, the Battle-Lemarie scalet is easier to construct and implement compared with multiwavelets, which are also continuous and smooth; hence, it requires less computational costs. The numerical examples for the circuit parameter extraction of single trapezoidal interconnect and asymmetric dual interconnects are presented to demonstrate the robustness of the scheme.

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Section: Numerical Examplesmentioning

confidence: 66%

Section: Numerical Examplesmentioning

confidence: 89%

Efficient extraction of equivalent circuit parameters for interconnect structures based on the Battle‐Lemarie scalet in the method of moments

Tong

2011

Int J Numerical Modelling

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“…The first ten modes for both TE and TM modes are listed in the 11 and T M 11 modes should be degenerate. However, Lagrange FEM yields some difference.…”

Section: A Standard Rectangular Waveguidementioning

confidence: 99%

Application of Physical Spline Finite Element Method (Psfem) to Fullwave Analysis of Waveguides

Zhou

Pan

2006

PIER

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Abstract-In this paper, the physical spline finite element method (PSFEM) is applied to the fullwave analysis of inhomogeneous waveguides. Combining (rectangular) edge element and the PSFEM, the cubic spline interpolation is successfully applied to the wave equation. For waveguide problems, the resulting nonlinear eigenvalue problem is solved by a simple iteration method in which the initial estimate is taken as the linear Lagrange interpolation, and then the solutions are improved by a few iterations. The bandwidth of the resultant matrix from the PSFEM is the same as that of linear Lagrange interpolation and is sparse. As a result, sparse matrix solver can be used. Three typical examples are demonstrated and compared with the analytical solutions and with the linear Lagrange interpolation results. It is observed that the present method converges much faster than the Lagrange interpolation method.

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“…In the context of electromagnetism the situation was similar to the one encountered in structural mechanics as discussed in [36,40], where 2D cross-section, 2.5D planar solvers and 3D arbitrary-solvers were discussed. Waveguides simulators widely employed 2.5D formulations where one of the dimensions was eliminated by assuming a particular evolution of the electromagnetic field in that direction [9,32,17]. 2.5D formulations have been also extensively considered for analyzing printed circuits [42,25].…”

Section: Introductionmentioning

confidence: 99%

On the Proper Generalized Decomposition applied to microwave processes involving multilayered components

Tertrais

Pinillo

Barasinsk

et al. 2019

Mathematics and Computers in Simulation

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Many electrical and structural components are constituted of a stacking of multiple thin layers with different electromagnetic, mechanical and thermal properties. When 3D descriptions become compulsory the approximation of the fields along the thickness direction could involve thousands of nodes. To circumvent the numerical difficulties that such a rich description imply, we recently propose an in-plane-out-of-plane separated representation with the aim of computing fully 3D solutions as a sequence of 2D problems defined in the plane and others (1D) in the thickness. The main contribution of the present work is the proposal of an efficient in-plane-out-of-plane separated representation of the double-curl formulation of Maxwell equations able to address thinlayer laminates while ensuring the continuity and discontinuity of the tangential and normal electric field components respectively at the plies interface.

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General edge element approach to lossy and dispersive structures in anisotropic media

Cited by 10 publications

References 12 publications

Efficient extraction of equivalent circuit parameters for interconnect structures based on the Battle‐Lemarie scalet in the method of moments

Efficient extraction of equivalent circuit parameters for interconnect structures based on the Battle‐Lemarie scalet in the method of moments

Application of Physical Spline Finite Element Method (Psfem) to Fullwave Analysis of Waveguides

On the Proper Generalized Decomposition applied to microwave processes involving multilayered components

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