Now let us consider how images are formed. If we take a candle, Fig. 29,
and hold the lens a little distance away from it, then, on placing a
screen of paper just on the other side of the lens, there will be a
small flame depicted on it, an exact representation of the real flame:
and it is formed in this way: Consider the rays proceeding from the top
of the flame, which are represented separately in Fig. 30, where A
represents the top. One of these rays, A _a_, passing through the centre
of the lens _o_, will he unaffected because the surfaces through which
it passes are parallel to each other; and we know from the property of
the lens that all the other rays from A will, on passing through it, be
brought to a focus somewhere on A _a_, depending on the curvature of the
lens, and in the case of our lens it is at _a_.
[Illustration:
FIG. 31.—Dispersion of Rays by a Double Concave Lens.
]
In like manner also all the rays from B are brought to a focus at _b_,
and so on with all other parts of A, B, which in this case represents
the flame, each will have its corresponding focus; there being cones of
rays from every point of the object and to every point of the image,
having for their bases the convex lens, and we get an image or exact
representation of our candle flame. It will further be noticed that the
image _a b_ is smaller than A B, in proportion as the distance _a b_ is
less than A B; so that if we increase the focal length of the lens till
_a b_ is twice the distance away from the lens, it will become double
its present size.
If now the flame be brought nearer the lens, its image _a b_ becomes
indistinct; and we must move the screen further away in order to render
the image again clear; hence the place of the focus depends on the
distance of the object, and the candle and its image must correspond to
two conjugate foci.
[Illustration:
FIG. 32.—Horizontal Section of the Eyeball. _Scl_, the sclerotic coat;
_Cn_, the cornea; _R_, the attachments of the tendons of the recti
muscles; _Ch_, the choroid; _Cp_, the ciliary processes; _Cm_, the
ciliary muscle; _Ir_, the iris; _Aq_, the aqueous humour; _Cry_, the
crystalline lens; _Vi_, the vitreous humour; _Rt_, the retina; _Op_,
the optic nerve; _Ml_, the yellow spot.
]
If now rays be passed from the lantern or sun through a concave lens,
Fig. 31, they are not brought to a focus, but are dispersed and travel
onwards, as if they came from a point, F, which is called its virtual
focus; and if rays are first converged by a convex lens, and then,
before they reach the focus are allowed to fall on a concave one, we
can, by placing the lenses a certain distance apart, render the
converging rays again parallel; or we can make them slightly divergent,
as if they came, not from an infinite distance, but from a point a foot
or two off. The application of this arrangement will appear hereafter.
Public-domain text, read in full here on John Shaqi.
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