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Ray Diagrams: Where is the eyepiece located in a reflector telescope?

Physics Asked by UpDownStrange on March 31, 2021

I’m in the process of building my own reflector telescope; I have an 8" primary mirror with a focal length of 1200mm.

Of course a telescope has a focuser that lets the eyepiece move up and down until the image of whatever you’re observing is perfectly in focus. My question is – where on a ray diagram is this ‘perfect focus’ found, and what determines it?

For an object at infinity, reflected by a concave mirror, the image is formed at the focal point. Therefore, I originally assumed that focus is achieved when the eyepiece is at the focal point, and the image is magnified by the eyepiece so that it’s visible to a human eye.

However I’ve seen several ray diagrams that depict the eyepiece as being positioned some distance beyond the focal point, where the rays have started to diverge, and the eyepiece then ‘straightens out’ the rays so that they’re parallel. If this is the case, what determines this distance?

Example ray diagram with eyepiece beyond focal point

One Answer

The mirror forms a real image at its focal point, the primary image. The eyepiece forms a virtual image of that real image. To do so it must be at a distance from it, as shown in your diagram. If it's one focal length of the eyepiece away, the eyepiece forms an image at infinity. But people have different ability to focus at different distances (they're maybe near-sighted or far-sighted) so there has to be some ability to focus the eyepiece from a focal length away from the primary image to a closer distance from it. There is no "perfect focus."

Answered by Not_Einstein on March 31, 2021

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