Spark image

Parabolic mirrors

A major problem with large spherical mirrors is that although they do no suffer from chromatic aberration (focusing different colours at different distances) they do show spherical aberration. This means that rays from points at different distances form the axis are brought to a focus at different points.

This is serious problem because it limits the aperture of optical instruments using spherical mirrors – only a small part of the spherical surface can be used if good focussed images are to be produced.

This is shown simply in Figure 1. Figure 1(a) shows a spherical surface where a large aperture is used. Such a surface would give serious spherical aberration. Figure 1(b) shows a surface with the same curvature as 1(a) but where only a small section of the surface is used. Such a surface would suffer far les form spherical aberration but obviously the aperture (A) is much less. This would be a problem for instruments such as astronomical telescopes where the maximum possible aperture is needed to give the best light gathering power.

Parabolic mirrors do not suffer from spherical aberration (See Figure 2). A parabolic surface brings all rays to the same focus whether or not they are close to the axis. It is for this reason that they used for astronomical reflecting telescopes. It is possible to have a large aperture with a relatively short focal length.

Telescopes like this have a low focal ratio (f/A) and so when they are used for photography they have shorter exposure times.

The photograph shows a 300mm diameter parabolic mirror in use in the author's telescope.


 

A VERSION IN WORD IS AVAILABLE ON THE SCHOOLPHYSICS USB
 
 
 
 
© Keith Gibbs