Monte Carlo Tolerance Analysis
Analyze fabrication tolerance impact through statistical sampling of phase errors and beam splitter imbalances
Fabrication Error Model
Phase and splitter errors are sampled from normal distributions:
φactual = φideal + εφ, εφ ~ N(0, σφ²)
BS ratio: (50±ε):(50∓ε), ε ~ N(0, σBS²)
Success criterion:
Trial succeeds if ⟨δj²⟩ < 1.2 SNU for all modes
Configuration
Results
Success Rate
94.7%
Mean Variance Increase
+12.3%
Worst Case Variance
0.89 SNU
95th Percentile
0.72 SNU