The Quarterly Journal of Science, Literature and the Arts, July-December, 1827Various
Science
The Quarterly Journal of Science, Literature and the Arts, July-December, 1827
Various
Arts -- Periodicals; Science -- Periodicals; Technology -- Periodicals
We have hitherto supposed that the two systems of waves were moving
exactly in the same direction, and that consequently their elementary
motions, to be combined with each other, were precisely limited to
one single line: this is the simplest case of interference, and the
only one in which the one motion can be completely destroyed by the
other: [p130] for in order that this effect may be produced, not only
the two forces must be equal and in contrary directions, but they
must also act in the same right line, or be directly opposed to each
other.
The phenomenon of coloured rings, and that of the colours developed
by polarised light in crystallised plates, present a particular case
of interference, in which the undulations are exactly parallel. But
in the phenomena of diffraction, or in the experiment with the two
mirrors, which has been already described, the rays which interfere
always form sensible though very small angles with each other. In
these cases the impulses to be combined with each other at the same
points, as belonging to the two systems of undulations, will also act
in directions forming sensible angles with each other: but on account
of the smallness of these angles, the result of the two impulses
is almost exactly equal to their sum, when the impulses act in the
same direction, and to their difference, when they are in contrary
directions. Thus, in the points of agreement or disagreement, the
intensity of the light will be the same as if the directions agreed
more perfectly; at least the nicest eye will not be able to discover
any difference in them. But although, with respect to the intensity
of the light, this case of interference resembles that which has
already been considered, there are other differences which modify the
phenomenon very greatly, both with respect to its general form, and
to the circumstances necessary for producing it.
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