Monte Carlo simulation and analysis in modern optical tolerancing [E-Book] / author: Ronian Siew
This Spotlight offers a perspective on the role of Monte Carlo simulation in the analysis and tolerancing of optical systems. The book concisely explores two overarching questions: (1) What principles can we adopt from a variety of statistical methods - such as the analysis of variance (ANOVA), &quo...
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Full text |
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Personal Name(s): | Siew, Ronian, author |
Imprint: |
Bellingham, Washington :
SPIE,
2019
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Physical Description: |
1 online resource (v, 53 pages) |
Note: |
englisch |
ISBN: |
9781510631656 |
DOI: |
10.1117/3.2552933 |
Series Title: |
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SPIE spotlight ;
SL53 |
Subject (LOC): |
- 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