In the case of reflection we get the original direction of the ray
changed as in the case of refraction, but the deviation is due to a
different cause. Take a bright light, a candle will do, and a mirror
fixed so that the light falls on its surface and is thrown back to the
eye, Fig. 47, we see the image of the candle apparently behind the
mirror; the rays of light falling on the mirror are reflected from it at
exactly the same angle at which they reach it. This brings us in the
presence of the first and most important law of reflection; and it is
this, at whatever angle the light falls on a mirror, at that angle will
it be reflected. As it is usually expressed, the angle of incidence,
which is the angle made by the incident ray with an imaginary line drawn
at right angles to the mirror, called the normal, is equal to the angle
of reflection, that is, the angle contained by the reflected ray, and
the normal to the surface. In order, therefore, to find in what
direction a ray of light will travel after striking a flat polished
surface, we must draw a line at right angles to the surface at the point
where the ray impinges on it, then the reflected ray will make an angle
with the normal equal to that which the incident ray makes, or the
angles of incidence and reflection will be equal.
[Illustration:
FIG. 47.—Diagram Illustrating the Action of a Reflecting Surface.
]
Very simple experiments, which every one can make will show us the laws
which govern the phenomena of reflection. Let us employ a bath of
mercury for a reflecting surface, and for a luminous object a star, the
rays of which, coming from a distance which is practically infinite, to
the surface of the earth, may be considered exactly parallel. The
direction of the beams of light coming from the star, and falling on the
mirror formed by the mercury, is easily determined by means of a
theodolite, Fig. 48. If we look directly at the star, the line I´ S´ of
the telescope indicates the direction of the incident luminous rays, and
the angle S´ I´ N´, equal to the angle S, I, N, is the angle of
incidence, that is to say, that formed by the luminous ray with the
normal to the surface at the point of incidence.
[Illustration:
FIG. 48.—Experimental Proof that the Angle of Incidence = Angle of
Reflection.
]
In order to find the direction of the reflected luminous rays, we must
turn the telescope on its axis, until the rays reflected by the surface
of the mercury bath enter it and produce an image of the star. When the
image is brought to the centre of the telescope, it is found that the
angle R´ I´ N´ is equal to the angle of reflection N, I, R. Thus, in
reading the measure on the graduated circle of the theodolite the angle
of reflection can be compared with the angle of incidence.
Public-domain text, read in full here on John Shaqi.
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