A Keplerian telescope in air has an objective of focal length and diameter

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Geometrical optics and imaging · Geometrical optics and imaging

What an Instrument Can See, Ch Pupils: the aperture of a linear system

Problem

A Keplerian telescope in air has an objective of focal length 200 mm200\ \mathrm{mm} and diameter 50 mm50\ \mathrm{mm}, and an eyepiece of focal length 25 mm25\ \mathrm{mm} and diameter 20 mm20\ \mathrm{mm} placed 225 mm225\ \mathrm{mm} behind it, so the two share a focal plane. A circular diaphragm 10 mm10\ \mathrm{mm} across sits in that common focal plane. The telescope looks at distant stars. ((a)) Trace the cone from an on-axis star through each of the three apertures in turn and identify the aperture stop. ((b)) Give the diameter and position of the entrance pupil and of the exit pupil. ((c)) Trace the chief ray, through the centre of the stop at angle θˉ\bar\theta, and find which aperture stops it first; that aperture is the field stop. Give the angular radius of the field in object space and in image space, the angles subtended by the entrance and exit windows.

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