Omid
Well-known member
Exit pupil is a key parameter of binoculars, telescopes and spotting scopes. It is also closely associated with eye relief:
Exit pupil: the imaginary disk behind the eyepiece where the rays from the eyepiece converge. The observer must place his eye on this disk to be able to see the full field of view.
Eye relief: the distance between the exit pupil and the last eyepiece lens.
With reference to the above picture, there is an area (rhombus shaped) that is covered by both the central exiting beam and the beams from the far edges of field of view. As long as the eye is placed within this rhombus, it will see the entire field of view (not necessarily with even brightness, but usually OK).
In Keplerian telescopes, the exit pupil diameter is determined by the diameter of the objective lens divided by magnification (power). So, 10x50 binoculars will have an exit pupil 5mm in diameters, 10x32 binoculars will have a 3.2mm exit pupil, etc.
It is very difficult to view the image of a telescope which has a small exit pupil. This is unfortunately the case with most spotting scopes. Their exit pupil is usually about 1.5mm to 3mm in diameter.
In the past few years I have been studying, testing and patenting techniques that can expand the exit pupil of an eyepiece. By this I mean designing an optical device whose exit pupil is larger then the value calculated above. There are several advantages to this design:
a) Large exit pupil makes lateral eye placement uncritical. The larger the exit pupil, the less critical it is to position the eye exactly on the optical axis.
b) Large exit pupil makes longitudinal eye placement uncritical as well. With a large exit pupil, the eye can be before or after the eye relief distance and it will see a reasonable image. The optimal position remains the same (at eye relief) but it is not longer critical for seeing "an" image.
Here is an example of a rifle scope with expanded exit pupil:
The following image is taken from more than 1m distance from behind the scope. Note, how there is no "pupil", the entire eyepiece face is illuminated. You can still see an image through this scope even if you move 30 degrees to the left, right, up or down from the optical axis.
I am creating this thread to open discussion of this topic. I am hoping that it will create awareness and lead to a better understanding of this technique for use in binoculars, spotting scopes and rifle scopes.
Exit pupil: the imaginary disk behind the eyepiece where the rays from the eyepiece converge. The observer must place his eye on this disk to be able to see the full field of view.
Eye relief: the distance between the exit pupil and the last eyepiece lens.
With reference to the above picture, there is an area (rhombus shaped) that is covered by both the central exiting beam and the beams from the far edges of field of view. As long as the eye is placed within this rhombus, it will see the entire field of view (not necessarily with even brightness, but usually OK).
In Keplerian telescopes, the exit pupil diameter is determined by the diameter of the objective lens divided by magnification (power). So, 10x50 binoculars will have an exit pupil 5mm in diameters, 10x32 binoculars will have a 3.2mm exit pupil, etc.
It is very difficult to view the image of a telescope which has a small exit pupil. This is unfortunately the case with most spotting scopes. Their exit pupil is usually about 1.5mm to 3mm in diameter.
In the past few years I have been studying, testing and patenting techniques that can expand the exit pupil of an eyepiece. By this I mean designing an optical device whose exit pupil is larger then the value calculated above. There are several advantages to this design:
a) Large exit pupil makes lateral eye placement uncritical. The larger the exit pupil, the less critical it is to position the eye exactly on the optical axis.
b) Large exit pupil makes longitudinal eye placement uncritical as well. With a large exit pupil, the eye can be before or after the eye relief distance and it will see a reasonable image. The optimal position remains the same (at eye relief) but it is not longer critical for seeing "an" image.
Here is an example of a rifle scope with expanded exit pupil:
The following image is taken from more than 1m distance from behind the scope. Note, how there is no "pupil", the entire eyepiece face is illuminated. You can still see an image through this scope even if you move 30 degrees to the left, right, up or down from the optical axis.
I am creating this thread to open discussion of this topic. I am hoping that it will create awareness and lead to a better understanding of this technique for use in binoculars, spotting scopes and rifle scopes.