Let us take the case of a well-known eyepiece, called the Huyghenian
eyepiece, after its inventor. It consists of two plano-convex lenses, A
and B Fig. 60, with their convexities turned towards the object-glass,
and having their focal lengths in the proportion of three to one. The
strongest lens, A, being next the eye, the lens B is placed inside the
focus of the object-glass, so that it assists in bringing the image, say
of a double star, to a focus at F, half way between the lenses, and
nearer to the object-glass than it would have been without the lens.
This image is then viewed by the eye-lens, A, and a magnified image of
it seen apparently at F´, as has been before explained. Now let us see
how the fieldlens renders this combination achromatic. Let us consider
the path of a ray falling on the lens near B, shown in section in Fig.
61: it is there refracted, but, the blue rays being refracted more than
the red, there will be two rays produced, _r_ and _v_, giving of course
a coloured edge to the image; but when this image is viewed by the
eye-glass, A, it no longer appears coloured, for the ray _v_, falling
nearer the axis of A, is less bent than _r_, and they are rendered
nearly parallel and appear to proceed from the point F´ where the whole
image appears without colour. In order to get the best result with this
form of eyepiece the focal length of the fieldlens should be three times
that of the eye-lens and they should be placed at a distance of half
their joint focal lengths apart.
[Illustration:
FIG. 61.—Diagram Explaining the Achromaticity of the Huyghenian
Eyepiece.
]
The next eyepiece which comes under consideration is that called
Ramsden’s, Fig. 62. It consists of two plano-convex lenses of the same
focus, A and B, placed at a distance of two-thirds of the focal length
of either apart; they are both on the eye side of the focus of the
telescope, and act together, to render the rays parallel and give a
magnified virtual image of F´F.
This eyepiece is not strictly achromatic, but it suffers least of all
lenses from spherical aberration; it also has the advantage of being
placed behind the focus of the object-glass, which makes it superior to
others in instruments of precision, as we shall presently see.
[Illustration:
FIG. 62.—Ramsden’s Eyepiece.
]
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