Summary

Portrait of Albert Abraham Michelson Albert Abraham Michelson Influence of Motion of the Medium on the Velocity of Light (1886)

The elimination of accidental displacement of the fringes by deformation of the glass ends of the tubes, or unsymmetrical variations of density of the liquid, etc., depends on the assumption that the two pencils have traveled over identical (not merely equivalent) paths. That this is not the case was proven by experiment; for when a piece of plate glass was placed in front of one of the pencils and slightly inclined, the fringes were displaced.
2d. The arrangement for producing the motion of the medium necessitated very rapid observation — for the maximum velocity lasted but an instant.
Source: Wikisource

Portrait of Albert Abraham Michelson Albert Abraham Michelson Influence of Motion of the Medium on the Velocity of Light (1886)

He announced the remarkable result that the increment of velocity which the light experienced was not equal to the velocity of the medium, but was a fraction x of this velocity which depended on the index of refraction of the medium. This result was previously obtained theoretically by Fresnel, but most satisfactorily demonstrated by Eisenlohr, [2] as follows:
Consider the prism AC in motion relatively to the ether in direction AB with velocity . Suppose the density of the external ether to be 1 and of the ether within the prism, . In the time dt the prism will advance a distance .
Source: Wikisource

Portrait of Albert Abraham Michelson Albert Abraham Michelson Influence of Motion of the Medium on the Velocity of Light (1886)

At this point vertical interference fringes would be formed, the bright central fringe corresponding to equal paths. If now the medium is put in motion in opposite directions in the two tubes, and the velocity of light is affected by this motion, the two pencils will be affected in opposite ways, one being retarded and the other accelerated; hence the central fringe would be displaced and a simple calculation would show whether this displacement corresponds with the acceleration required by theory or not.
Source: Wikisource

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