Towards Computationally Fast and Electromagnetically Accurate Zero Thickness Sheet Models of Practical Metasurface Structures
Bibliographic record
Abstract
Electromagnetic metasurfaces are 2D arrays of sub-wavelength resonating particles whose microscopic properties can be tailored to achieve a desired macroscopic field scattering response. Determining the scattered fields from large metasurfaces consisting of small resonators constitutes a multi-scale problem. To remedy this, metasurfaces are modeled as zero thickness sheets described using surface susceptibilities in conjunction with the Generalized Sheet Transition Conditions (GSTCs). Here, the GSTCs are implemented in a Fast Multipole Method (FMM) accelerated integral equation (IE) solver to simulate metasurfaces embedded in complex environments. While the FMM-IE-GSTC solver works well, the standard dipolar surface susceptibility model of metasurfaces is inadequate for modeling structures exhibiting spatial dispersion. These spatially dispersive structures can be modeled using surface susceptibilities that are rational polynomial functions of the transverse wave-vector resulting in the extended GSTCs. In this thesis, the extended GSTCs are further developed to model non-uniform metasurfaces providing a computationally efficient zero thickness model for practical metasurfaces which is then integrated into the IE-GSTC solver.
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How this classification was reachedexpand
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 | 0.001 | 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) | 0.006 | 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 teacher head, 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".