ATMOSPHERICAL OPTICS!
Mirages are due to the fact
that the index of refraction in hot air is considerably less
than the index of refraction in cool air.
Because the air is denser
closer to the surface, objects near the horizon appear much
higher in the sky than they actually are. The sun is still
visible after it sets, for example. For objects with as large an
apparent size as the sun and moon, the bottom of the image
"looms" higher than the top, so the circular disk appears
squashed.
Individual molecules scatter higher
frequencies of light with greater and greater intensity, so that
the open sky appears blue. However, small particles scatter all
frequencies of light with equal intensity, so that clouds of
water drops appear white. Fog is just a cloud at ground level.
Because when we view the setting sun or moon we view it through
the densest part of the atmosphere, almost all higher
frequencies are scattered out so we see only the lowest, reddest
frequencies.
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)
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)
Lord Rayleigh (1842 - 1919)
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)
Gustav Mie (1868 - 1957) |
On Mars, the sky is pale pink,
and the sunset or sunrise are blue! Why?
Why does the eclipsed moon
turn some shade of red during a total lunar eclipse? It's lit
by all the sunrises and sunsets taking place over the entire
earth at that moment!
Curved Mirrors!
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