Optical instruments: seeing bigger, seeing further
The astronomical telescope and the telescope
Observing distant objects
Unlike a magnifying glass, a telescope is used to observe very distant objects, such as stars or planets: it does not magnify their size but rather the angle at which we view them. It consists of two converging lenses: an objective lens with a long focal length f’1 and an eyepiece with a short focal length f’2.
The afocal setting
A telescope is said to be afocal – the standard setting for an eye at rest – when the image focus of the objective lens coincides with the object focus of the eyepiece. A beam of parallel incoming rays then emerges parallel: the final image is formed at infinity, which is comfortable for a normal eye that does not need to accommodate.
Magnification
For a telescope set to the afocal configuration:
G = f'1 / f'2
The greater the focal length of the objective lens and the shorter the focal length of the eyepiece, the greater the magnification.
Example: with f'1 = 100 cm and f'2 = 2 cm, we obtain G = 50.
Refractor versus telescope
| Instrument | Objective | Main advantage |
|---|---|---|
| Astronomical refractor | Converging lens | Simple construction |
| Telescope | Concave mirror | No chromatic aberration, large diameter possible |
Large observatories use telescopes because a mirror several metres in diameter is easier to manufacture and support mechanically than a giant lens, which would warp under its own weight.
Common misconception
The magnification of a refracting telescope does not depend on the diameter of the objective lens. A large diameter mainly improves light-gathering power and resolution – that is, the fineness of visible detail – two qualities distinct from magnification.

