Automatic Loop-Tree Scheme for Arbitrary Conducting Wire-Surface Structures

Vipiana, F.; Vecchi, G.; Wilton, Donald R.

doi:10.1109/tap.2009.2027242

Cited by 18 publications

(6 citation statements)

References 22 publications

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“…For wire-surface junctions, being free-standing, over ground plane, or over/in a layered medium, and described by a junction function J n f G involving all triangles around junction wire [19], a very convenient loop base Js n f G is described in [14]. G associated with a junction wire (star base).…”

Section: Loop-star and Loop-tree Bases For Wire-surface Junctionsmentioning

confidence: 99%

“…By recently, most attention has been devoted to construct the LS and LT bases for surface geometries [5]- [11], while other types of geometries have been studied insufficiently and represented only by a few initial works, including those for wire geometries [12], surface to wire junctions [13]- [14], and microstrip structures [6]. Besides, in literature it is too little application of the proposed LS and LT bases to complicated surface and wire geometries.…”

Section: Introductionmentioning

confidence: 99%

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Application of loop-star and loop-tree basis functions to MoM solution of radiation and scattering problems on complicated surface and wire geometries from low to microwave frequencies

Bogdanov¹,

Jobava²,

Gheonjian³

et al. 2012

2012 6th European Conference on Antennas and Propagation (EUCAP)

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In this work, the loop-star and loop-tree basis function approach is applied to multiple, complicated and mixed surface and wire geometries, including a number of separate surfaces (open and close), with handles and holes, a number of wires (open and looped) and surface to wire junctions, being in free space, over ground plane or over/in a layered medium. This approach is also extended to considering printed structures by modifying the hybrid MoM and multilayered Green's function approach.

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Section: Loop-star and Loop-tree Bases For Wire-surface Junctionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of loop-star and loop-tree basis functions to MoM solution of radiation and scattering problems on complicated surface and wire geometries from low to microwave frequencies

Bogdanov¹,

Jobava²,

Gheonjian³

et al. 2012

2012 6th European Conference on Antennas and Propagation (EUCAP)

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show abstract

“…In all scattering problems, the MOM equations are solved using a diagonally preconditioned transpose-free quasiminimal residual (TFQMR) iterative solver [19]. The iterations are terminated when the relative residual error is lower than for higher frequencies, i.e., when the average edge length on the scatterer mesh is greater than times the free-space wavelength , and for lower frequencies, i.e., when ; this change in tolerance helps delay the EFIE breakdown to lower frequencies [20] and more clearly demonstrate the impact of integration errors.…”

Section: B Scattering Problemsmentioning

confidence: 99%

A Practical Implementation and Comparative Assessment of the Radial-Angular-Transform Singularity Cancellation Method

Kaur

Yılmaz

2011

IEEE Trans. Antennas Propagat.

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A practical numerical integration approach is proposed for the radial-angular-transform singularity cancellation (SC) method such that all singular and near-singular integrals encountered in the method-of-moments (MOM) solution of integral equations are evaluated to arbitrary pre-specified error levels. In the proposed approach, the transformed MOM integrals are evaluated using the progressive Gauss-Patterson quadrature rules that provide on-the-fly error estimates; these error estimates are used to automate the choice of quadrature rules in the SC method whose performance strongly varies from one impedance matrix entry to another. This progressive numerical integration approach is carefully compared to a naïve implementation of the SC method that uses static quadrature rules as well as to the more common singularity extraction (SE) method. Specifically, the SC and SE methods are applied to the classical solution of the frequency-domain electric field integral equation using RWG basis functions and several scattering problems are solved in the lowand high-frequency regimes of analysis. Numerical results show that although the proposed approach improves the efficiency of the SC method significantly, the SE method, especially if high-order asymptotic forms of Green functions can be extracted, remains the most efficient alternative when applicable.Index Terms-Integral equations, method of moments (MOM), numerical quadrature, singular integrals.

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“…Harness grounding is one of the important issues, where wire-to-surface junction needs to be properly characterized. The wire-to-surface junction basis function has been commonly used based on an EFIE formulation [2]. However, it is not convenient to convert a wire-to-surface junction to an equivalent circuit model by directly using the junction basis function.…”

Section: Introductionmentioning

confidence: 99%

An equivalent circuit model for the wire-to-surface junction based on method of moments

Wang

Kautz

Altunyurt

et al. 2016

2016 IEEE/ACES International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Elect

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A modified wire-to-surface junction basis function is proposed in this paper in order to facilitate the extraction of an equivalent circuit model for the wire-to-surface junction. The circuit extraction is based on an MPIE formulation. The extracted circuit model has been validated by the traditional EFIE formulation. Index Terms -wire-to-surface junction basis function; Method of Moments (MoM); Mixed-Potential Integral Equation (MPIE); Electric Field Integral Equation (MPIE); equivalent circuit model.

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Automatic Loop-Tree Scheme for Arbitrary Conducting Wire-Surface Structures

Cited by 18 publications

References 22 publications

Application of loop-star and loop-tree basis functions to MoM solution of radiation and scattering problems on complicated surface and wire geometries from low to microwave frequencies

Application of loop-star and loop-tree basis functions to MoM solution of radiation and scattering problems on complicated surface and wire geometries from low to microwave frequencies

A Practical Implementation and Comparative Assessment of the Radial-Angular-Transform Singularity Cancellation Method

An equivalent circuit model for the wire-to-surface junction based on method of moments

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