Analytical response sensitivities of infinitesimally thin metallic shapes
Bibliographic record
Abstract
Recently, a self-adjoint analytical method was proposed to compute the S-parameter sensitivities of microwave structures from the field solution at the object of interest. However, due to field singularities, the method is inapplicable to infinitesimally thin metallic shapes-a case of interest in the analysis and design of printed circuits and antennas. Here, we propose a formulation, which allows for the analytical calculation of the sensitivities with respect to the shape parameters of infinitesimally thin metallic objects. The computation is simulator-independent and is very fast as it involves a numerical integration of the surface current and charge densities along a suitably chosen contour on the metal. The method is validated through comparisons with reference S-parameters sensitivities obtained with a commercial finite-element-method (FEM) simulator. The proposed method enables the much needed analytical response sensitivities for simulators that are not based on the FEM, e.g., the method of moments (MoM) and the finite-difference time-domain (FDTD) method.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.002 |
| 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 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 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 source (direct Gemma or distilled Codex), 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".