A Meshless Based Solution to Vectorial Mode Fields in Optical Micro-Structured Waveguides Using Leaky Boundary Conditions
Bibliographic record
Abstract
Leaky boundary conditions are implemented in a meshless numerical method to solve vectorial mode fields in optical waveguides which allow for the solution of both guided and leaky modes. The modes are found using an approximating solution, the Finite Cloud Method (FCM), to the coupled field equations of the transverse components of the magnetic field. In this paper we extend the method by implementing two absorbing boundary conditions, Transparent Boundary Conditions (TBC) and Perfectly Matched Layers (PML), to solve the leaky modes for several microstructured air hole waveguides. Presented are methods to further refine the boundary conditions and to stabilize the solutions. A comparison between these methods and previously published results show close agreement. Finally, we conclude that the TBC boundary condition is the superior method due to its robustness and lack of fitting parameters.
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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 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".