Novel Closed-Form 2-D Green's Function of Shielded Layered Media And Its Use in Transmission Lines Inductance Extraction
Bibliographic record
Abstract
New closed-form expression for quasi-static 2-D Green's function of fully-shielded layered medium is proposed. Along the vertical direction of the medium stratification the spectrum of the Green's function can be obtained through the 1-D ordinary differential equation and expressed as pole-residual form. This rational function representation of the spectrum allows to evaluate space domain Green's function in layered medium shielded from top and bottom with horizontal ground planes in a closed-form. This closed-form expression allows to analytically add up contributions from infinite number of source images with respect to the vertical side walls of the rectangular enclosure, hence, producing the new closed-form expression for the 2-D Green's function of rectangular enclosure vertically filled with multilayered medium. Availability of such Green's functions enable construction of integral equation based magneto-quasi-static and electro-quasi-static 2-D extractors. Such 2-D magneto-quasi-static extractor based on solution of Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) for multi-conductor transmission lines (MTLs) situated in shielded layered media is demonstrated.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
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".