Analysis method to describe impact of variables on parameter

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SUMMARY

The discussion centers on analyzing the impact of variable changes in an optical model using Python, specifically focusing on parameters such as power and aberrations. The user, Madphysicist, is utilizing Zemax in conjunction with pyzdde but seeks a numerical method to assess how variations in refraction indices, radii, curvatures, and angles affect spherical aberration. Monte Carlo simulations were considered, but the user is uncertain about their applicability for this analysis. The need for a suitable analytical method to evaluate the influence of multiple variables on specific parameters is emphasized.

PREREQUISITES
  • Understanding of optical modeling concepts
  • Familiarity with Zemax software
  • Knowledge of Python programming
  • Basic principles of numerical analysis
NEXT STEPS
  • Research "Sensitivity Analysis in Optical Systems" to understand variable impact assessment
  • Explore "Monte Carlo Simulation Techniques" for practical implementation in optical modeling
  • Learn about "Finite Difference Methods" for numerical approximation of derivatives
  • Investigate "Design of Experiments (DOE)" for systematic variable testing
USEFUL FOR

This discussion is beneficial for optical engineers, researchers in optical modeling, and Python developers looking to analyze the effects of variable changes on optical parameters.

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Hi,

I have an optical model, fully programmably controllable with python. I want to know how much my variables (say N) of my model impact a certain parameter (i.e power, abberations). Now I have no clue how to go about this. There must be some analytical (numerical) method that I could use but I cannot seem to find the right tool.

What I want to know is how my variables impact my parameter as they perturb around their standard value. I have looked into monte carlo simulations, and to be honest I don't know where to begin and if this is even the right or most simple method for the job.

Any help or suggestions would be greatly appreciated!

-Madphysicist
 
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Can you be more specific? There are fairly pricey optical simulations (Oslo, Zemax, Code V etc.) on the market which allow you to optimize lenses and surfaces for various types of aberration.
 
I am sorry, I will elaborate. I am using Zemax in combination with pyzdde. However, I do not want to optimize my model, but see how the change in refraction indices, radii, curvatures, angles etc affects for example the spherical abberation. Since I am in full control of my model programmatically, I do not depend on the build in function (which could be restrictive to the variables i want to examine).

So the question is how i a change of one of a combination of these variables change a specific parameter (i.e the abberation) and how this could be analyzed. Which branch of analysis methods should I dive into?
 

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