The focus of the red rays will as before be at F, but that of the violet
will be nearer to the lens, as at H, and this being so, it is evident that
a well defined image of the purple source of light cannot possibly be
formed upon a screen placed anywhere behind the lens. Held in the position
indicated by the line C C, where it passes through the focus of the red
rays, the screen cuts one of the cones of violet light, and the image at F
will appear to be surrounded by a violet halo. Held at A A, the screen
evidently receives an image with a red halo round it. Only at B B, in the
plane where the surfaces of the red and violet cones cut one another, will
it be possible to obtain an image without a coloured border; but here good
definition is unattainable, for neither the red nor the violet rays are in
focus, and the luminous point is represented by a purple disk or diffusion
circle of sensible diameter.
If rays of every possible refrangibility are allowed to fall upon the
lens, as is the case when the source of light is not shielded by any
coloured glass, there will be formed an indefinite number of pairs of
cones, the apices of which will lie along the straight line joining H and
F. It is clear that all these cones cannot possibly intersect in a single
plane, and consequently no position can be found where the edge of the
projected image is perfectly free from colour, though at a certain
distance from the lens, where the brightest constituents of the
light--namely, the yellow and green--are approximately focussed, the
coloured border is least conspicuous, and is of a purple tint, due to the
mixture of the red and violet rays.
For these reasons a single glass lens cannot, except with homogeneous
light, be made to give a perfectly distinct image of a luminous point, nor
of an illuminated object, the surface of which may be regarded as an
assemblage of points. Such a lens, therefore, is never employed when good
definition is required. The confusion resulting from the unequal
refrangibility of the differently coloured rays is said to be due to the
chromatic aberration of the lens.
Public-domain text, read in full here on John Shaqi.
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