# Double Reflection!

Yesterday, while I was travelling in the local metro and was seated, I saw a double reflection of mine in an opposite window. Double reflection in the sense that my reflection imposed on another of mine. Why does this happen?

• Were the reflections about the same size? Or was one reflection smaller, as if the image was further away? Jul 14, 2017 at 3:16
• @MarkH : One reflection was quite smaller than the other. Jul 14, 2017 at 4:32
• Good observation Jul 14, 2017 at 13:52
• If you should find yourself in the same situation, please take a picture. It would be very helpful to determine with greater certainty what was the cause. Incidentally you might be interested in this answer to a related question Jul 14, 2017 at 18:24
• Is this what you are referring to? If not, you may want to embed a photo example. Jul 14, 2017 at 19:49

Since the second reflected image was much smaller than the first, that means it was formed from reflections off multiple windows. Light bounced from you, to the window opposite you, to the window behind you, back to the window opposite you, and then to your eyes. The windows on the metro weren't quite parallel, so the light was able to bounce around you to form another image you could see.

When you look in a mirror, your image looks like it's standing a distance behind the mirror equal to how far you are to the mirror. In the same way, each reflection in the metro windows adds more distance to your image, which is why it looked so much smaller.

This diagram may help understand the answer given by @Mark H better:

When using windows as mirrors, we can draw virtual reflections (labeled R1, R2 and R3). R1 is the "normal" reflection. R2 is the "reflection of the reflection" (in the window behind you). R3 is the reflection of R2.

I showed an exaggerated angle of the windows, so the reflection "can get past you". In reality it doesn't take much of an angle - and in fact if the first window is slightly curved it can help put R3 back "on top of" R1.

It is also possible (hard to tell from your description) that you were just seeing reflections from two panes on the same side. In particular if the second pane was slightly curved, this would give you a "second, smaller" image. And in my experience on subways, these panes are often not very flat. That would give you this second scenario:

This would give you a second smaller reflection "almost exactly" superposed on the first. Depending on the curvature and distance of the panes, the size and position of the second reflection may vary. But it would be "more similar" in size to the first reflection (compared to situation 1 above).

I am inclined to believe it's the second situation.

• The second pane of glass (in the second situation) could have been a window on the next car over. The two cars would have to be quite parallel, but that can happen when on rails... Jul 14, 2017 at 18:15
• @bitsmack excellent thought. Again, without more details about the exact situation, and perhaps a photo of the original, it's hard to know for sure... Jul 14, 2017 at 18:21