Capacitance and Conductance of Through Silicon Vias With Consideration of Multilayer Media and Different Shapes
Bibliographic record
Abstract
This paper evaluates the capacitance and conductance of the through silicon vias (TSVs) with consideration of the multilayer media along the vertical direction and different shapes. According to the moment method, the capacitance and conductance of the straight and two types of tapered TSVs are calculated and compared with those of the conventional 2-D method. It is shown that the capacitance calculated by the 2-D method for the straight TSVs will produce a large error when the radius and pitch of the TSVs become larger. For the two types of tapered TSVs, their capacitance decreases with the increase in the slop angle and the pitch due to less surface area and capacitance coupling, respectively. Therefore, the tapered TSVs with larger slop angle and pitch are beneficial to reduce the propagation delay. With the increase in the pitch, the conductance of both the straight and the tapered TSVs increases slightly at low frequency, while it decreases at high frequency. All the results by the method in this paper agree well with those of the electromagnetic simulations up to 40 GHz.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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".