Monte Carlo simulation and analysis in modern optical tolerancing [E-Book] / author: Ronian Siew
Siew, Ronian, (author)
Bellingham, Washington : SPIE, 2019
1 online resource (v, 53 pages)
SPIE spotlight ; SL53
Full Text
Table of Contents:
  • Preface
  • 1. Introduction: 1.1. What is "modern" about modern optical tolerancing? 1.2. What is a Monte Carlo simulation? 1.3. Significance of functions of random variables
  • 2. Prelude to Monte Carlo: 2.1. Systematic versus random variability; 2.2. Standard deviation as error, uncertainty, and variability; 2.3. Error of the mean (why averaging reduces variability); 2.4. Error of the error (why variability also varies); 2.5. Sample variance: why we divide by "n
  • 1"; 2.6. Concept of variance components and sensitivity analysis
  • 3. Monte Carlo approach: 3.1. Influence of compensators on variability: correlations and covariances; 3.2. Sensitivity analysis by way of statistical tests of effects on distributions; 3.3. Do normal component distributions yield normal system distributions? 3.4. When is the central limit theorem applicable? 3.5. Example: miniature multifunctional relay lens system with liquid element; 3.6. Example: geometric optical fiber coupling efficiency; 3.7. Role of Monte Carlo simulation in Six Sigma, quality, and reliability; 3.8. Random numbers and the subtle art in the science of modern optical tolerancing
  • References