Integrating rod homogeneity as a function of cross-sectional shape
Bibliographic record
Abstract
We present preliminary results from an analysis of irradiance patterns from integrating rods. A new metric is proposed to provide a more rigorous characterization of homogeneity as compared to the current ANSI standard for illumination and brightness of rectangular integrating rods used in the projector and display industry. This new metric is used in a computational ray-trace analysis to compare the relative homogenizing efficiency of integrating rods as a function of the polygon order of the cross section. Our analysis is performed for an ideal surface-emitting disk in order to yield general insight into the workings of integrating rods for common light sources, and a for full radiometric source model based on measurements of a reflectorized 100W Hg arc lamp. Simulation results indicate that a high degree of homogenization can be achieved for integrating rods with cross sections of polygon order equal to or less than 10. These results refute the commonly held belief that only integrating rods with tileable cross-sectional shapes are effective homogenizers. These results are particularly significant for optical applications in the materials processing industry.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.002 | 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 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".