Figure A represents a stellar ray entering the "luminiferous aether" that was conjectured to surround the earth. Figure B (dashed lined) demonstrates the path of the ray through the aether over time. Note that the ray is fully dragged by the aether (See Diagram 1) and that no drifting or reorientation of the ray occurs (Figure C). This narrow concept of a transmitting medium for light in vacuo was consistent with the Michelson and Morley experiment, but was incompatible with the observation of stellar aberration. The rejection of a singular, earth-attached aether provided the impetus for the advancement of the postulates of the Special Theory of Relativity.
A more radical approach, independently advanced by G.F. Fitzgerald and H.A. Lorentz, was based upon a contraction of matter in the direction of motion through the aether. This hypothesis could account for the null results of the Michelson and Morley experiment by mathematically equalizing the light transit times along the two optical paths of the test apparatus. An additional factor of time dilation was soon added in apparent anticipation of experiments utilizing optical arms of unequal lengths (e.g., the Kennedy and Thorndike experiment of 1932).  Thus, the application of both the length contraction and time dilation formulae had the result of mathematically canceling any effect that movement through an aether medium might have on the transit time of light regardless of the optical path lengths of the test apparatus and of any change in the velocity of the resultant "aether wind" relative to the apparatus.
In 1905, A. Einstein introduced his restricted theory of relativity wherein he rejected the feasibility of measuring absolute motion and asserted that if the aether did exist, it was of no value in measuring uniform motion. Einstein further asserted that light travels at the same constant speed in vacuo regardless of the motion of its source and incorporated the equations of Lorentz and Fitzgerald so as to render both mechanical and optical laws equivalent in all inertial reference frames. 
The resort to paradox in describing electromagnetic energy transmission is unnecessary, however, if the current observational and experimental evidence can be reconciled with a transmitting medium for such energy in vacuo. If the transmitting medium consists of interacting fields that surround massive objects (mass), reconciliation is possible (See Diagram 3).