It was my mistake
Just ran your file and the results are exactly what I would have expected.
The door is passing through the first cone of light, then there is a pause, then it passes through the second, and so on. There is a gap between each because there is a gap between each of the cones.
Yes you are right. I did not see that. I can`t light the text with one lamp so I used three lamps and I forgot that the door is not transparent for a light. My stupid mistake. Thank you.