In Fig. 2 the result of a wind is much the same, though the details
are rather different. The medium is supposed to be drifting downwards,
across the field. The source may be taken as stationary at S. The
horizontal arrows show the direction of waves _in the medium_; the
dotted slant line shows their resultant direction. A wave centre
drifts from D to 1 in the same time as the disturbance reaches A,
travelling down the slant line D A. The angle between dotted and full
lines is the angle between ray and wave-normal. Now, _if the motion of
the medium inside the receiver is the same as it is outside_, the wave
will pass straight on along the slant to Z, and the true direction of
the source is fixed. But if the medium inside the target or telescope
is stationary, the wave will cease to drift as soon as it gets
inside, under cover as it were; it will proceed along the path it has
been really pursuing _in the medium_ all the time, and make its exit
at Y. In this latter case--of different motion of the medium inside
and outside the telescope--the apparent direction, such as Y A, is not
the true direction of the source. _The ray is in fact bent where it
enters the differently-moving medium_ (as shown in Fig. 4).
[Illustration: FIG. 4. Ray through a Moving Stratum.]
A slower moving stratum bends an oblique ray, slanting with the
motion, in the same direction as if it were a denser medium. A quicker
stratum bends it oppositely. If a medium is both denser and quicker
moving, it is possible for the two bendings to be equal and opposite,
and thus for a ray to go on straight. Parenthetically I may say that
this is precisely what happens, on Fresnel's theory, down the axis of
a water-filled telescope exposed to the general terrestrial ether
drift.
In a moving medium waves do not advance in their normal direction,
they advance slantways. The direction of their advance is properly
called a ray. The ray does not coincide with the wave-normal in a
moving medium.
[Illustration: FIG. 5. Successive Wave Fronts in a Moving Medium.]
All this is well shown in Fig. 5.
S is a stationary source emitting successive waves, which drift as
spheres to the right. The wave which has reached M has its centre at
C, and C M is its normal; but the disturbance, M, has really travelled
along S M, which is therefore the ray. It has advanced as a wave from
S to P, and has drifted from P to M. Disturbances subsequently emitted
are found along the ray, precisely as in Fig. 2. A stationary
telescope receiving the light will point straight at S. A mirror, M,
intended to reflect the light straight back must be set normal to the
ray, not tangential to the wave front.
Public-domain text, read in full here on John Shaqi.
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