by Chris Peterson » Thu Sep 13, 2007 2:34 am
MartinB wrote:I think the second set of rainbows is caused by reflection off part of the lake behind the camera. This must be the case, as rainbows can only be observed when in-line with the light rays. As we can assume that the reflecting surface of the lake is horizontal, the only surfaces which can be canditates must be either in front of or behind the camera. My vote is behind.
Here's a bit of simple analysis of the picture. There are two primary rainbows and two secondary rainbows. The two primaries intersect at the horizon, have the same size (~42°), and their centers lie on a vertical line. Likewise for the two secondaries (~52°). You can scale these in Photoshop or the like and see that the numbers make sense. Next, consider the angles between the horizon and the tangents to the two primaries. I get about 67° for the "normal" rainbow, and 105° for the odd one. With that, the location of the source can be solved for: 16° above the horizon for the normal rainbow, and 16° below the horizon for the odd one. In other words, exactly what you would expect if the Sun were the direct source for the first rainbow, and a reflection from a surface parallel to the ground were the source for the second.
Assuming the image was made near Trondheim, Norway, in the last few days, that would mean it was taken at about 5:20 pm local time, with the camera pointing NNE (~28° azimuth).
The reflection could be behind the camera or in front. It does look like the lake in the foreground is in shadow, but that could be an illusion because of the dark sky in that direction. Hard to know for sure.
[quote="MartinB"]I think the second set of rainbows is caused by reflection off part of the lake behind the camera. This must be the case, as rainbows can only be observed when in-line with the light rays. As we can assume that the reflecting surface of the lake is horizontal, the only surfaces which can be canditates must be either in front of or behind the camera. My vote is behind.[/quote]
Here's a bit of simple analysis of the picture. There are two primary rainbows and two secondary rainbows. The two primaries intersect at the horizon, have the same size (~42°), and their centers lie on a vertical line. Likewise for the two secondaries (~52°). You can scale these in Photoshop or the like and see that the numbers make sense. Next, consider the angles between the horizon and the tangents to the two primaries. I get about 67° for the "normal" rainbow, and 105° for the odd one. With that, the location of the source can be solved for: 16° above the horizon for the normal rainbow, and 16° below the horizon for the odd one. In other words, exactly what you would expect if the Sun were the direct source for the first rainbow, and a reflection from a surface parallel to the ground were the source for the second.
Assuming the image was made near Trondheim, Norway, in the last few days, that would mean it was taken at about 5:20 pm local time, with the camera pointing NNE (~28° azimuth).
The reflection could be behind the camera or in front. It does look like the lake in the foreground is in shadow, but that could be an illusion because of the dark sky in that direction. Hard to know for sure.