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Here are some defocused model images of a single spot, with and without aberrations, in two extreme cases of illuminations. They have all actual aberrations unless specified as 'No Zernikes.' 'Center' and 'edge' illuminations here mean normal and upside-down Gaussians respectively, with a sigma being a fourth of the image size.
   
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Turning off the centering process on creating model images, I checked three different spots to see how much in-focus images move when using non-uniform illuminations. For the 'center' and 'edge' cases, the differences (in pixels) from the uniform illumination case were as follows.
without aberrations ('center', 'edge'):
[-0.00489392, -0.0002655 ], [0.00408945, 0.00090781]
[-0.00054981, -0.001028 ], [0.00048404, 0.00100647]
[-0.00135586, 0.00247819], [0.00164713, -0.00104468]
with aberrations ('center', 'edge'):
[-0.05716209, 0.04843167], [ 0.04769489, -0.04080947]
[-0.07478676, 0.0367169 ], [ 0.06002609, -0.03209267]
[-0.03818032, 0.10790845], [ 0.03467106, -0.09408475]
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