Model & Assumptions Beta
- Model
- Sellmeier dispersion with published coefficients (Malitson, SCHOTT, Zelmon — cited per material). β₂ = (λ³/2πc²)·d²n/dλ²; β₃ from the third derivative. Gaussian broadening τ = τ₀√(1+(4ln2·GDD/τ₀²)²).
- Assumptions
- Transform-limited input pulse; linear propagation (no self-phase modulation); broadening from GDD only — TOD is reported but not folded into the width. Time–bandwidth products: 0.441 (Gaussian), 0.315 (sech²).
- Limitations
- Sellmeier fits are valid inside each material's quoted range; no nonlinear effects, no chirped inputs, no absorption.