If now the plane of vibration in each prism be regarded as coincident
with its principal section, the following phenomena are observed:
If the prisms are so placed that the principal sections lie in the
prolongation of the same plane, then the extraordinary polarized ray
from the polarizer passes into the analyzer, which practically may
be regarded in this position as a continuation of the same prism.
It happens, therefore, that the extraordinary polarized ray passes
through the analyzer exactly as it did through the polarizer, and is
not reflected by the film of balsam, but emerges from the analyzer
in seemingly the same condition as from the polarizer. If now the
analyzer be rotated 180°, bringing the principal section again in the
same plane, the same phenomenon is observed. But if the rotation be in
either direction only 90°, then the polarized ray from the first prism,
incident on the second, deports itself exactly as the ordinary ray,
and on meeting the film of balsam is totally reflected. The field of
vision, therefore, is perfectly dark.
In all other inclinations of the planes of the principal sections of
the two prisms the ray incident in the analyzer is separated into
two, an ordinary and extraordinary, varying in luminous intensity in
proportion to the square of the cosine of the angle of the two planes.
[Illustration: FIGURE 31. COURSE OF RAYS OF LIGHT IN A NICOL.]
Thus, by gradually turning the analyzer, the field of vision passes
slowly from maximum luminosity to complete obscurity. The expression
crossed nicols refers to the latter condition of the field of vision.
=62. Description of the Prism.=—In a nicol made as described above,
Fig. 31, suppose a ray of light parallel with the longer side of the
prism be incident to the end _a_ _b_ at _m_. By the double refracting
power of the spar the ray is divided into two, which traverse the first
half of the prism. The two rays are polarized at right angles to one
another. The less refracted ray when it strikes the film of Canada
balsam passes through it without interference. The more refracted ray
strikes the balsam at _o_ at such an angle as to be totally reflected
and made to pass out of the prism in the direction _o r_. If the prism
be blackened at the surface the ray will be entirely absorbed. The
other ray passes on through the other half of the prism and emerges in
the direction of _qs_. It is evident that the emergent light from a
nicol has only half the illuminating power possessed by the immergent
rays.
The polarized plane of light from the nicol just described may be
regarded as passing also into a second nicol of essentially the same
construction as the first.
Public-domain text, read in full here on John Shaqi.
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