These are the tests on a rectilinear lens (modelled) from this article (by myself and Edward Lai):
https://wetpixel.com/articles/review-nauticam-wide-angle-corrector-port/P1
comparing dome port size on image quality
The impact on image quality across the frame when using different sized dome ports compared with a lens in air (this graph plots RMS GEO radius against FOV of a lens, data source: Zeemax spot diagram analysis, Edward Lai, 2017). Results are discussed in the text below.
Before moving on, I want to add more data to the graph from the previous section, which is very valuable for improving our understanding of using dome ports. As far as I know, this is the first time anyone has probably collected and certainly presented test data of this kind for different domes.
The 100mm (4”) dome port performs slightly worse than the 200mm (8”), while the 230 mm (9”) performs considerably better. However, do note the data for a 230 mm dome that was not placed correctly, using a port extension just 3.8cm or 1.5” too short — something I see lots of people doing. Like this, the expensive 230 mm dome now drops as much image quality at the 100 mm. The graph shows that big, expensive domes deliver on image quality, however, they must be correctly positioned to do so. (Also note that all domes give good sharpness in the center of the picture, the advantage of bigger domes comes towards the edge of the frame.)