Negative refraction, growing evanescent waves, and sub-diffraction imaging in loaded transmission-line metamaterials
Bibliographic record
Abstract
We present an analytical formulation that shows the negative refraction of propagating waves and the growth of evanescent waves within a negative refractive index (NRI) lens made of a periodically L, C loaded transmission-line (TL) network, referred to as the dual-TL structure. A transformation known as the "array scanning method" is then employed to analytically demonstrate the sub-diffraction imaging capability of a dual-TL lens. In essence, the two-dimensional (2-D) periodic Green's functions corresponding to the voltages and currents excited by a vertical elementary current source are derived. The developed theory is utilized to plot the 2-D voltage magnitude distribution for the case of focusing an elementary current source. The analysis reveals that a resolution limit is imposed by the periodicity of the NRI medium used. Moreover, the periodicity of the NRI medium bounds the amplitude of the growing evanescent waves in a realizable NRI lens and prevents them from growing to unphysically large values.
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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 | 0.000 |
| 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 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| 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 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".