=384. Effect of Lenses upon Light.=--The most important characteristic
of a lens is its effect upon a beam of light. Most persons have seen a
"burning glass," a double convex lens, used to bring to a point, or
focus, a beam of sunlight. To show the action of a burning glass send a
beam of light into a darkened room, and place in its path a double
convex lens. (See Fig. 378.) If two blackboard erasers are struck
together near the lens, the chalk particles in the path of the light are
strongly illuminated, showing that the light after passing through the
lens it brought to a focus and that it spreads out beyond this point.
This point to which the cone of light rays converges after passing
through the convex lens is called the _principal_ focus of the lens. The
distance from the principal focus to the center of the lens is the
_focal length_ or _principal focal distance_ of the lens. _The focal
length of double convex lenses of crown glass is about the same as the
radius of curvature of either surface._ The action of a convex or
converging lens upon light may be better understood by studying Fig. 379
in which light is passing from _S_ to _F_. The successive positions and
shape of the advancing light waves are indicated by lines drawn across
the beam. The light being retarded more in the thicker part of the lens,
the light waves on leaving the lens have a concave front. Since light
waves tend to move at right angles to the front of the wave, the light
is brought to a focus. After passing the focus the waves have a convex
front, forming a diverging cone.
[Illustration: FIG. 379.--Wave diagram of light passing through a convex
lens.]
=385. Concave Lenses.=--When sunlight passes through a _concave_ lens a
diverging cone of light is formed. (See Fig. 380.) This is caused by the
edges of the wave being retarded more than the center, producing a
convex wave front. This diverging cone of light acts as if it had
proceeded from a luminous point at _F_.
This point is called a _virtual_ focus and is nearly at the center of
the curvature of the nearer surface.
[Illustration: FIG. 380.--Wave diagram of light passing through a
concave lens.]
=386. The Formation of Images by Lenses.=--If a beam composed of
_parallel_ rays of light, as sunlight, is sent in turn through three
convex lenses of the same diameter but of different thickness, it is
found that the _thicker the lens the greater is its converging power, or
the shorter is its focal_ length. (See Fig. 381.) Now if a luminous
body, such as a lighted candle, be placed near the convex lens but
_beyond its focal length_, the light will be brought to a focus upon the
other side of the lens and an image of the candle may be clearly seen
upon the screen placed at this point. (See Fig. 382.) _The two points so
situated on opposite sides of a lens that an object at one will form an
image at the other are called conjugate foci._
[Illustration: FIG. 381.--The thicker the lens, the shorter is its focal
length.]
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