Depleted Gaussian Continuous-Wave Second Harmonic Generation: Modeling Electric-Field Distribution and Thermal Effects in a KTP Double-Pass Cavity
Bibliographic record
Abstract
We present a computational toolkit for modeling depleted Gaussian beam propagation in continuous-wave (CW) second harmonic generation (SHG) using double-pass type II KTP crystals. The software solves six coupled partial differential equations using finite difference methods. It takes fundamental power, beam spot size, crystal geometry, and temperature rise as inputs, then outputs electric-field distributions, conversion efficiencies, and phase-mismatch profiles along the propagation axis. Whereas many earlier models treated single-pass or non-depleted scenarios separately, this toolkit combines the complete double-pass depleted-wave formulation with thermally induced phase mismatch in a single reproducible pipeline. Parameter sweeps with 1000 longitudinal mesh nodes run in under one minute on standard personal computers. Numerical predictions match experimental SHG efficiencies (23\% vs. 22.5\% measured) and observed thermal degradation trends under comparable conditions. The toolkit is available as an open-source GitHub repository and is released under the MIT License as version v1.0.1.
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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 | 0.000 | 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) | 0.005 | 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".