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====== Differences ====== This shows you the differences between two versions of the page.
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rainbow_project [2014/05/30 16:26] wikimanager [Questions about theory and coding] |
rainbow_project [2014/06/03 19:18] (current) delakins [Coding tasks] |
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| * $P_\text{sc}$ $\,=\,I_\text{sc}\!\cdot\!{\text{Area}}_\text{sc}$ $\,\approx\,I_\text{sc}\!\cdot\!2\pi\,(D\sin\gamma)\,D\Delta \gamma\;$, where $\,D$ is the distance from the droplet to the observer. | * $P_\text{sc}$ $\,=\,I_\text{sc}\!\cdot\!{\text{Area}}_\text{sc}$ $\,\approx\,I_\text{sc}\!\cdot\!2\pi\,(D\sin\gamma)\,D\Delta \gamma\;$, where $\,D$ is the distance from the droplet to the observer. | ||
| * $P_\text{sc}$ $=s\!\cdot\!P_\text{inp}$ | * $P_\text{sc}$ $=s\!\cdot\!P_\text{inp}$ | ||
| - | * $I_\text{sc}$ $=s\!\cdot\!I_\text{inp}\frac{d}{D^2\sin\gamma}\frac{\Delta d}{\Delta\gamma}$ $=s \cdot I_\text{inp}\frac{R^2\delta}{D^2\sin\gamma}\frac{\Delta \delta}{\Delta\gamma}$ $\sim I_\text{inp}\frac{\delta}{\sin\gamma}\frac{\Delta \delta}{\Delta\gamma}\;$: here the factors //s//, //R//, and //D// are pretty constant (or too complicated to calculate) and do not contribute to the relative intensity at various angles and wavelengths | + | * $I_\text{sc}$ $=s\!\cdot\!I_\text{inp}\frac{d}{D^2\sin\gamma}\left|\frac{\Delta d}{\Delta\gamma}\right|$ $=s \cdot I_\text{inp}\frac{R^2\delta}{D^2\sin\gamma}\left|\frac{\Delta \delta}{\Delta\gamma}\right|$ $\sim I_\text{inp}\frac{\delta}{\sin\gamma}\left|\frac{\Delta \delta}{\Delta\gamma}\right|\;$: here the factors //s//, //R//, and //D// are pretty constant (or too complicated to calculate) and do not contribute to the relative intensity at various angles and wavelengths |
| | {{ :projects:rainbow:rainbowdrawing2.png?nolink |}} | | | {{ :projects:rainbow:rainbowdrawing2.png?nolink |}} | | ||
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| - **Index of refraction for water** = 1.33. This is the average value. We need its dependence on the wavelength $\lambda$! | - **Index of refraction for water** = 1.33. This is the average value. We need its dependence on the wavelength $\lambda$! | ||
| - **Average radius of water droplet** = 3 mm ([[rainbow project#references|Ref. [4]]]) | - **Average radius of water droplet** = 3 mm ([[rainbow project#references|Ref. [4]]]) | ||
| + | - **Average [[wp>Sunlight]] Intensity on Earth** = 1367 $\frac{W}{m^2}$ | ||
| {{visible_spectrum.jpg}} | {{visible_spectrum.jpg}} | ||
rainbow_project.txt ยท Last modified: 2014/06/03 19:18 by delakins
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