MATLAB-Based Fast Vector Spherical Wave Expansion Implementation
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
An optimized direct vector spherical wave expansion (VSWE) implementation is presented. The orthogonal spherical bases are generated sequentially, leveraging their linkage through the recurrence formulas. This implementation encompasses three-dimensional field analysis and synthesis scenarios. Different beam types are numerically analyzed for validation and compared with the theoretical analysis. The execution time to compute all VSWE coefficients and beam synthesis is less than 2.5 seconds with a two-degree spatially-sampled far-field. The present study promotes the integration of the VSWE as a standalone essential tool for electromagnetic field analysis within the MATLAB antenna toolbox or scientific computation frameworks built in other script programming languages.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 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 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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