Hi Hytham!
The image circle of your telescope is to small
for a proper flat.
Lets simplify what happens during calibration with flats,
the light is divided by the normalized flat, normalized simplified means
white will have the value 1.000 , black the value 0.000 ...
So, if you divide any pixel by 1 the value is unchanged
if your divide it by 0.5 the value is doubled.
If you have in your flat an area in the corner which
is near to black means has a value of 0.01
The value of the pixel in your light corner is multiplied by 100.
This should explain the bright corners in the calibrated
light. This is brought to more extreme using the OIII filter
which creates even more dark corners in the flat.
(And yes, you have heavily overexposed your flat to get the
corners in the flat less dark.)
How to counteract at this. You have to change the
profile of the flat, means increase the brightness
of the dark underexposed corners in the flat.
I did some correction on your flat to lift the brightness
in the corners and reduce the overall brightness.
I used process Curves in steps for this. Than i brought the overall
brightness of the flat down with PixelMath.
This flat than i used for the Calibration.
The calibrated light still showed a small gradient.
Running one step with DBE finally got me a still linear
single relatively flat light.
Find a screenshot about the actions here:
https://dl.dropboxusercontent.com/u/57910417/Correct_FLat_processes.jpgLeft the new flat, right to it the old light.
right to it the calibrated light, right to it
the light treated with DBE. The histogramm at the right border
represents the histogramm of the new flat.
Below you find the Curves process i used 6 times.
Find the new flat here:
https://dl.dropboxusercontent.com/u/57910417/f.fitFind the process container for correcting the flat here:
https://dl.dropboxusercontent.com/u/57910417/Correct_FLat_processContainer.xpsmFind the new Light as fits file here:
https://dl.dropboxusercontent.com/u/57910417/snew1.fitFind the stretched JPEG of your single new calibrated light here:
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Hope this helps
Gerald