Strict proof and applicable range of the quarter-wavelength model for microwave absorbers
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Bibliographic record
Abstract
Abstract In the research and applications on microwave absorption materials and electromagnetic absorbers, the quarter-wavelength model is widely used in describing the dependence of the reflection loss (RL) peak frequency on electromagnetic parameters and thickness, and in the preparation and design of microwave absorption materials. However, strict proof regarding this model based on transmission line theory is lacking. Moreover, a deviation between the absorption peaks obtained from the RL results and those from the quarter-wavelength model is observed in some materials, for which a universal and reasonable theoretical explanation is also lacking. Hence, in this work, we derive strict proof of the quarter-wavelength model based on transmission line theory, and develop a revised equation for this model to explain the above-mentioned deviation. The revised equation could well fit the deviations observed in our experimental results. Combined with the experimental results, we also discuss the applicable ranges for the quarter-wavelength model and the revised equation. Moreover, the results of this work show that the appropriate value of the phase angle is effective in reducing the absorber thickness.
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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) | 0.001 | 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) | 0.000 | 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 it