Boundary element computations of 3D transient scattering from lossy dielectric objects

Schlemmer, E.; Rucker, W.M.; Richter, K.R.

doi:10.1109/20.250693

Cited by 10 publications

(9 citation statements)

References 4 publications

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“…We now address the manipulations required to develop a soluble system of equations from (12). Note that the time element in which the retarded time lies, and hence, the corresponding retarded time-step numbers are not generally constant over a spatial element .…”

Section: Formulationmentioning

confidence: 99%

“…With the quadratic formulation adopted here (or indeed with a linear formulation), (12), where the integrals are still analytical, represents an implicit problem. Evaluation necessarily includes integration over a region less than the distance from the field point, and the field in this region is approximated interalia, in terms of the present field, both at the field point and at the neighboring boundary points.…”

Section: Implicitness and Stabilitymentioning

confidence: 99%

“…We can conveniently write this in a matrix form as (12) where (13) in which the matrix is defined as (14) where the coefficients are composed from the components of the normal and radial distance vectors.…”

Section: Formulationmentioning

confidence: 99%

“…In 1991, Rao [4] again used a form of planar triangle with enforced edge-current continuity. A recent exception is the work of Schlemmer [12] where a quadratic treatment was adopted and examples of its performance on a 1 wavelength sphere and cube presented.…”

Section: Introductionmentioning

confidence: 98%

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Time-domain BIE analysis of large three-dimensional electromagnetic scattering problems

Bluck

Walker

1997

IEEE Trans. Antennas Propagat.

111

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A time-domain boundary integral equation (BIE) solution of the magnetic field integral equation (MFIE) for large electromagnetic scattering problems is presented. It employs isoparametric curvilinear quadratic elements to model fields, geometry, and time dependence, eliminating staircasing problems. The approach is implicit, which seems to provide both stability and permits arbitrary local mesh refinement to model geometrically difficult regions without the significant cost penalty explicit methods suffer. Error dependence on discretization is investigated; accurate results are obtained with as few as five nodes per wavelength. The performance both on large scatterers and on low-radar cross section (RCS) scatterers is demonstrated, including the six wavelength "NASA almond," two spheres, a thirteen wavelength missile, and a "high-Q" cavity.

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Section: Formulationmentioning

confidence: 99%

Section: Implicitness and Stabilitymentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Time-domain BIE analysis of large three-dimensional electromagnetic scattering problems

Bluck

Walker

1997

IEEE Trans. Antennas Propagat.

111

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“…This leads to the implementation issue that the spatial integrals at retarded times have to be replaced by temporal convolutions. This convolution brings not only coding complexity, but also increases the computational cost dramatically [15,17].In the presented work, the multiregion substrate geometry is addressed with a TDIE solver. An equivalent-surface approach for each region is used along with the following method to tackle the lossy medium Green's function.…”

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confidence: 99%

Modeling of lossy multiregion substrates in microelectronic circuits using time‐domain surface integral equations

Yang

Jandhyala

2005

Micro & Optical Tech Letters

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In the BiCMOS process, the trade-off in specifications of all kind of circuits can be fully utilized for possible circuit designs. In this paper, the trade-off between the NF and linearity for LNA circuit design have been tested and verified. A good choice in the first stage of the LNA design is an HBT for a better NF, and the last stage is an MOS for better linearity. Furthermore, the circuits (HBT-MOS) designed in this paper are very useful for integration with other subcircuits in 5-6-GHz receivers IC due to its powersaving characteristic and better figure of merit. With the modern microelectronic industry entering a new era featuring progressively higher speed and more highly integrated mixed-signal systems on chip, accurate modeling of distributed electromagnetic behavior of sections, which may include signal traces, power planes, substrates, and so forth, is crucial during the design flow. Driven by broadband and nonlinear circuit design [1][2][3][4][5], time-domain coupled electromagnetic and circuit simulation has been gaining popularity. In particular, integral-equation methods [6 -14] have proven to be useful since radiation conditions are built in and only surface meshing and modeling is needed. In this work, the time-domain integral equation (TDIE) method is enhanced to model realistic loss behavior in substrates, which is a crucial component for quality-factor prediction of integrated passives, as well as potentially for thermal pattern prediction. The EM simulation environment in emerging and future 3D integrated circuits is characterized by multiple piecewise homogeneous regions. Each region is comprised of lossy materials, which may or not have a strong impact on the overall performance. In general, for higher speed and higher sensitivity systems such as RF and analog methods, the loss is a crucial factor in determining system specifications and performance. The TDIE approach has been shown to work with lossy material [15][16][17][18] wherein the Green's functions, besides possessing delta functions in time, also include a broadly exponentially decaying 'wake'. This leads to the implementation issue that the spatial integrals at retarded times have to be replaced by temporal convolutions. This convolution brings not only coding complexity, but also increases the computational cost dramatically [15,17].In the presented work, the multiregion substrate geometry is addressed with a TDIE solver. An equivalent-surface approach for each region is used along with the following method to tackle the lossy medium Green's function. To circumvent the difficulty caused by the convolution in time, the decaying 'wake' in the Green's function is approximated by a sum of decaying exponentials via Prony's method. It is shown that for circuit dimensions and realistic losses, the decaying 'wake' changes slowly with the variation of the distance between the source and observation point. This allows the creation and use of an exponential fitting table for discrete distances. The use of the exponential models permits t...

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Boundary element computations of 3D stationary and time-dependent problems using Bezier-spline elements

1994

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Boundary element computations of 3D transient scattering from lossy dielectric objects

Cited by 10 publications

References 4 publications

Time-domain BIE analysis of large three-dimensional electromagnetic scattering problems

Time-domain BIE analysis of large three-dimensional electromagnetic scattering problems

Modeling of lossy multiregion substrates in microelectronic circuits using time‐domain surface integral equations

Boundary element computations of 3D stationary and time-dependent problems using Bezier-spline elements

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