Modeling of photonic crystals using a real-valued transmission line matrix method
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Bibliographic record
Abstract
In this article, we present a stable real-valued transmission line matrix (TLM) method for simulating periodic photonic structures. Unique to this method is the circuit-type implementation of the periodicity (Bloch) condition at the sidewalls of the unit cell under simulation. Unlike previously published methods for implementing periodic boundary conditions in real-valued TLM networks, our circuit representation is shown to be passive since no energy is introduced from the boundaries of the simulation domain. The enforcement of Bloch boundary conditions at the sidewalls of the simulation domain, while preserving energy, results in an unconditionally stable TLM method free of high-frequency noise. Our approach is validated by simulating a two-dimensional array of dielectric materials, a structure usually referred to as a photonic crystal. The results are compared with those obtained by the plane wave expansion method and good agreement is found.
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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 | 0.001 | 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