It is shown that the Lorentz transformation for the time coordinate is the sum of two times, the first being associated with the time dilation effect, the second with the relativity of the 'time of flight' of the photon, from the source to the receiver. The Lorentz transformation for the x coordinate is the sum of two terms, the first expressing a shift in the positive direction of the common axes, whereas the second represents the 'photographed' x coordinate of the source of light as it appears on a snapshot taken by an observer O 1 , at a moment when observer O' is in front of him.
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Bernhard Rothenstein (1995) studied this question.