Diffractive elements with multi-ring spectra
Bibliographic record
Abstract
Abstract We introduce pure amplitude almost periodic structures (APSs) with multi-ring spatial spectra, characterized by four degrees of freedom in the spectral domain: the number of rings, the number of impulses on each ring, the radius of each ring, and the angular positions of the impulses within a ring. A comprehensive mathematical framework is developed to describe the diffraction of arbitrary optical beams by such structures. This framework is theoretically validated and experimentally verified through the analysis of diffraction patterns produced under Gaussian beam illumination. The method is systematically tested on various APS configurations, including structures with one, two, three, and four rings, as well as different impulse arrangements within these rings, demonstrating its robustness and adaptability. Notably, each APS achieves a high diffraction efficiency, transferring approximately 1 / ( ( 2 N + 1 ) ( 2 N ) ) of the transmitted beam power to each impulse, where 2N represents the total number of impulses excluding the zero-diffraction order. This efficiency is significantly superior to that of conventional spatial light modulators. Additionally, a detailed comparison between theoretical predictions and experimental measurements of power ratios for the diffraction orders confirms the accuracy and reliability of our approach. The versatility of APS makes them highly suitable for a range of applications, including optical communications, optical tweezing, multi-particle trapping, screening, micro-manipulation, and microscopy. For example, APS-enhanced Gaussian lattice beams can improve imaging speed in fluorescence microscopy. Furthermore, their ability to enable three-dimensional optical multiple trapping and beam splitting positions APS as a powerful tool for advancing laser and optical research.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".