Analytical-Based Mode Group Division Multiplexer Design Using Gaussian Beam Generalized Launch
Bibliographic record
Abstract
The optical power coupling coefficient serves as a pivotal metric for elucidating mode power distribution within mode group division multiplexers. This paper derives closed-form analytical expressions to calculate the coupling coefficient of Gaussian beams into a graded-index multimode fiber. Leveraging the inherent computational efficiency of analytical solutions over numerical counterparts, we introduce an efficient design methodology for mode group division multiplexers. This innovative approach hinges on generalized launch conditions and employs a multiple-population genetic algorithm for optimal solutions. The achieved results underscore the efficacy of our approach, as evidenced by the 5 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\times $</tex-math></inline-formula> 5 and 6 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\times $</tex-math></inline-formula> 6 mode-group division multiplexers operating at 1310 nm. These multiplexers showcase satisfying alignment stability, enabling to curtail the degradation of channel insertion loss to a maximum of 0.03 dB. The proposed conditioned-launch-based multiplexer, enhancing fiber transmission capacity, offers the distinct advantages of simplified fabrication processes and subsequently reduced financial costs.
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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 | 0.000 | 0.000 |
| 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 | 0.000 |
| 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 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".