Airy, in 1871 filled up a telescope with water—but failed to detect any
change in the aberration. Thus we get both in the case of Arago prism
experiment and Airy-Boscovitch water-telescope experiment, the very
startling result that optical effects in a moving medium seem to be
quite independent of the velocity of the medium with respect to
Fresnel’s stationary ether.
_Fresnel’s convection coefficient k = 1 - 1/μ^2._—Possibly some form
of compensation is taking place. Working on this hypothesis, Fresnel
offered his famous ether convection theory. According to Fresnel, the
presence of matter implies a definite condensation of ether within the
region occupied by matter. This “condensed” or excess portion of ether
is supposed to be carried away with its own piece of moving matter. It
should be observed that only the “excess” portion is carried away,
while the rest remains as stagnant as ever. A complete convection of
the “excess” ether ρ′ with the full velocity _u_ is optically
equivalent to a partial convection of the total ether ρ, with only a
fraction of the velocity _k_. _u_. Fresnel showed that if this
convection coefficient _k_ is 1 - 1/μ^2 (μ being the refractive index
of the prism), then the velocity of light after refraction within the
moving prism would be altered to just such extent as would make the
refractive index of the moving prism quite independent of its
“absolute” velocity _u_. The non-dependence of aberration on the
“absolute” velocity _u_, is also very easily explained with the help
of this Fresnelian convection-coefficient _k_.
_Stokes’ viscous ether._—It should be remembered, however, that
Fresnel’s stationary ether is absolutely fixed and is not at all
disturbed by the motion of matter through it. In this respect Fresnelian
ether cannot be said to behave in any respectable physical fashion, and
this led Stokes, in 1845-46, to construct a more material type of
medium. Stokes assumed that viscous motion ensues near the surface of
separation of ether and moving matter, while at sufficiently distant
regions the ether remains wholly undisturbed. He showed how such a
viscous ether would explain aberration if all motion in it were
differentially irrotational. But in order to explain the null Arago
effect, Stokes was compelled to assume the convection hypothesis of
Fresnel with an identical numerical value for _k_, namely 1 - 1/μ^2.
Thus the prestige of the Fresnelian convection-coefficient was enhanced,
if anything, by the theoretical investigations of Stokes.
_Fizeau’s experiment._—Soon after, in 1851, it received direct
experimental confirmation in a brilliant piece of work by Fizeau.
Public-domain text, read in full here on John Shaqi.
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