Equivalent Circuit Models for Metasurfaces Using Floquet Modal Expansion of Surface Current Distributions
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Bibliographic record
Abstract
This work presents a fully analytical method for obtaining equivalent circuit models (ECMs) that predict the magnitude and phase of scattering parameters for reflectarray (RA) and/or metasurface (MTS) unit cells. The proposed ECM is derived from a Floquet modal expansion of surface currents and does not rely on full-wave simulations. Analytical functions are used to represent the current distribution on the unit cell, and the proposed ECM is validated against full-wave simulations for several RA/MTS element types including loaded loops, dogbone and symmetric cross unit cells, and is shown to be accurate under normal and oblique incidence conditions, thus providing a fast and efficient design tool for deriving the scattering parameters of patch-like unit cells in the initial design process. As this approach allows for modeling unit cells loaded using lumped components such as varactor diodes, it can also be used to derive the dynamic response of tunable RA and MTS unit cells.
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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) | 0.000 | 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) | 0.000 | 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