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Efficient frequency domain technique for electromagnetic scattering from arbitrary objects using the Random Auxiliary Sources

2013· article· en· W2046949301 on OpenAlexaff
M. A. Moharram, Ahmed A. Kishk

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldPhysics and Astronomy
TopicElectromagnetic Scattering and Analysis
Canadian institutionsConcordia University
Fundersnot available
KeywordsMethod of moments (probability theory)Integral equationSolverMoment (physics)Computer scienceIterative methodBoundary value problemBoundary (topology)Mathematical analysisAlgorithmApplied mathematicsMathematical optimizationMathematicsPhysics

Abstract

fetched live from OpenAlex

Summary form only given. Electromagnetic scattering from 3D objects of arbitrary boundary condition is presented implying the use of Random Auxiliary Sources (RAS) method. This technique provides a fast electromagnetic solver for arbitrarily shaped objects in the frequency domain. The technique is based on enforcing the boundary conditions by replacing the object by equivalent random electric and/or magnetic sources that are arbitrarily distributed within a controlled pre-specified domain. The proposed equivalent problems involve the use of few randomly distributed current filament for two dimensional problem (2D) and infinitesimal dipole sources of arbitrary orientations and moments for three dimensional problems, apart from the boundary of the object, which values are determined via least square method. Consequently, no need for singularity extraction is required. An acceptable tolerance bound of the boundary condition satisfaction error is insured using iterative procedure. Nevertheless, an optimum choice of procedure parameters is made via statistical analysis to provide the fastest and yet accurate solution. The present solutions provided by the proposed technique promise significant reductions in the execution time and memory requirements better than method of moment solutions based on surface integral equations. The technique is verified by comparing current distribution on spheres with Mie's series solution. Also, significant simulation time reduction is achieved over the commercial integral equation solver of CST-MWS (CST Microwave Studio, Ver. 2012, Framingham, MA, 2012) package using the method of moments (MoM) with direct or iterative solvers. The potential of the proposed technique can be explored by comparing the execution time and the required number of unknowns with CST-MWS package using only single core processing with double precision. These results are shown as an example. The technique will be presented with more examples to further illustrate the simplicity and efficiency of the proposed technique.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: Bench or experimental
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.391
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.006
GPT teacher head0.216
Teacher spread0.210 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designBench or experimental
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations3
Published2013
Admission routes1
Has abstractyes

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