Computational modelling of light propagation in textured liquid crystals based on the finite‐difference time‐domain (FDTD) method
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Bibliographic record
Abstract
Light propagation through uniaxial rod‐like nematic liquid crystal films containing singular (thin) and non‐singular (thick) line disclinations is computed using the finite‐difference time‐domain method (FDTD), which is based on accurate numerical solutions to the governing Maxwell equations. The results obtained by the FDTD method are compared with classical matrix‐type methods, including the aggregate model and Berreman's method. It is found that the optical signals for singular and non‐singular defects predicted by the matrix methods deviate significantly from the FDTD method because director gradient effects on the plane normal to the incident light are not properly taken into account . It is also found that the FDTD optical signal for singular thin lines has a characteristic length scale associated with the wavelength of the incident light, while for non‐singular thick lines the scale is associated with the defect escaped core dimensions. The FDTD method offers an accurate quantitative tool for use in new applications including liquid crystal‐based biosensors and rheo‐optical characterization of liquid crystalline polymers.
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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 | 0.001 |
| 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