Laser in front of a wall - mathemathical physics

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Your earlier definition of ##t_L## was the round-trip duration at a particular angle. In this case, however, you need the times (not durations) of the arrivals back at the origin from two different (but close) angles.
 
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Right! Ah, how could I miss that -.-

So, total time should be ##t_1=t+t_L## if ##t_L## is the round trip duration. Similar for ##t_2##.

Since the difference ##t_2-t_1## is small, I guess it is the same as if I calculate ##dt## from ##t_1## or from ##t_2##.