Zernike polynomials are often confusing to people. There are different ways of ordering them, different ways of normalizing them, and then there are different sets of polynomials depending upon the shape of the dataset.

Additionally, these are not the same values as the 3rd-order aberrations that we often claim them to be. A lens design ray trace program is not necessarily going to spit out the same numbers as a Zernike polynomial fit.

And, which version of the polynomials do you use? It depends upon your application and the people you are interfacing with.

We can easily convert from one definition to another, or even switch between 3rd-order Seidel aberrations from your lens design program and your fitted Zernike terms as long as we understand the settings and conditions.

Let me help you sort this out.