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Laser Tracking on the CD Scaled Views of a Compact Disc

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Sky Saturati<strong>on</strong> and Brightness<br />

As a qualitative examinati<strong>on</strong> <strong>of</strong> sky brightness and <strong>the</strong> saturati<strong>on</strong> <strong>of</strong> <strong>the</strong> blue sky color,<br />

measurements <strong>of</strong> <strong>the</strong> color <strong>of</strong> <strong>the</strong> sky photograph were made from a computer m<strong>on</strong>itor using Adobe<br />

Illustrator's color tools. N<strong>on</strong>e <strong>of</strong> <strong>the</strong> data should be taken as quantitatively reliable since <strong>the</strong> original<br />

photo had been transformed several times, and <strong>the</strong> measurements were taken from a n<strong>on</strong>-calibrated<br />

computer m<strong>on</strong>itor. Never<strong>the</strong>less, it might be useful as an example <strong>of</strong> <strong>the</strong> progressi<strong>on</strong>s <strong>of</strong> sky color.<br />

A series <strong>of</strong> points <strong>on</strong> <strong>the</strong> sky image were chosen starting from <strong>the</strong> left, indicated by <strong>the</strong> white dots<br />

superimposed <strong>on</strong> <strong>the</strong> image above. It is clear to <strong>the</strong> eye that <strong>the</strong> progressi<strong>on</strong> leads to a brighter sky<br />

and to a blue color which is less saturated, or more pastel. Measurements <strong>of</strong> <strong>the</strong> color and brightness<br />

were made at each point based <strong>on</strong> amounts <strong>of</strong> red, green and blue present. In <strong>the</strong> graph at upper left,<br />

<strong>the</strong> blue brightness was normalized to 1 and <strong>the</strong> red and green expressed as a fracti<strong>on</strong> <strong>of</strong> <strong>the</strong> blue.<br />

One result was that <strong>the</strong> green was significantly brighter than <strong>the</strong> red. This is c<strong>on</strong>sistent with<br />

Rayleigh scattering which emphasizes <strong>the</strong> shorter wavelengths. Ano<strong>the</strong>r result was that <strong>the</strong> red and<br />

green increased as a fracti<strong>on</strong> <strong>of</strong> <strong>the</strong> blue, indicating that <strong>the</strong> color was becoming less saturated. This<br />

can be interpreted as blue mixed with an increasing fracti<strong>on</strong> <strong>of</strong> white light, which is c<strong>on</strong>sistent with<br />

<strong>the</strong> light being a combinati<strong>on</strong> <strong>of</strong> Rayleigh and Mie scattering. As you approach <strong>the</strong> sun's directi<strong>on</strong>,<br />

<strong>the</strong> Mie scattering accounts for a larger fracti<strong>on</strong> <strong>of</strong> <strong>the</strong> total light, and <strong>the</strong> Mie scattered light is<br />

essentially white. The graph <strong>of</strong> overall brightness above is just <strong>the</strong> sum <strong>of</strong> all three colors, with a<br />

maximum <strong>of</strong> 1 being white <strong>on</strong> <strong>the</strong> m<strong>on</strong>itor. The increasing brightness al<strong>on</strong>g <strong>the</strong> path <strong>of</strong> <strong>the</strong> data is<br />

again c<strong>on</strong>sistent with a combinati<strong>on</strong> <strong>of</strong> Rayleigh and Mie scattering. The Mie scattering has a str<strong>on</strong>g<br />

forward lobe and increases as you approach <strong>the</strong> sun's directi<strong>on</strong>.<br />

Hue<br />

Hue, al<strong>on</strong>g with saturati<strong>on</strong> and brightness make up <strong>the</strong> three distinct attributes <strong>of</strong> color. The terms<br />

"red" and "blue" are primarily describing hue - hue is related to wavelength for spectral colors. It is<br />

c<strong>on</strong>venient to arrange <strong>the</strong> saturated hues around a Newt<strong>on</strong> Color Circle. Starting from red and<br />

proceeding clockwise around <strong>the</strong> circle below to blue proceeds from l<strong>on</strong>g to shorter wavelengths.<br />

However it shows that not all hues can be represented by spectral colors since <strong>the</strong>re is no single<br />

wavelength <strong>of</strong> light which has <strong>the</strong> magenta hue - it may be produced by an equal mixture <strong>of</strong> red and<br />

blue.

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