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
In order to represent the two systems of reflected undulations, there
are drawn, with the points A and B for their centres, two different
series of equidistant arcs, separated from each other by an interval
which is supposed equal to the length of a semiundulation. In order
to distinguish the motions in opposite directions, the arcs on which
the motions of the ethereal particles are supposed to be direct, are
represented by full lines, and the maximum of the retrograde motions
are indicated by dotted lines. It follows that the intersections
of the dotted lines with the full lines are points of complete
discordance, and of course show the middle of the dark stripes; and,
on the contrary, the intersections of similar arcs show the points
of perfect agreement, or the middle of the bright stripes. The
intersections of the arcs of the same kind are joined by the dotted
lines _b′p′_, _br_, _b′p′_, and those of arcs of [p133] different
kinds by the full lines _n′o′_, _no_, _no_, _n′o′_: these latter
representing the successive positions or the trajectories of the
middle points of the dark stripes, and the former the trajectories of
the bright bands.
It has been necessary to magnify very greatly in this figure the real
length of the luminous undulations, and to exaggerate the mutual
inclination of the two mirrors, so that we must not expect an exact
representation of the phenomenon, but merely a mode of illustrating
the distribution of the interferences, in undulations which cross
each other with a slight inclination.
It is easy to deduce from geometrical considerations, that the length
of these fringes is in the inverse ratio of the magnitude of the
angle made by the two pencils which interfere, and that the interval,
comprehended between the middle points of two consecutive dark or
bright bands, is as much greater than the length of the undulation,
as the radius is greater than the sine of the angle of intersection.
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