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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