Talk:PlanetPhysics/Snell's Law

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%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: Snell's law %%% Primary Category Code: 42.15.Dp %%% Filename: SnellsLaw.tex %%% Version: 4 %%% Owner: bloftin %%% Author(s): bloftin %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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Snell's law describes the relationship between an incident ray of light and that of the refracted ray of light at the \htmladdnormallink{boundary}{http://planetphysics.us/encyclopedia/GenericityInOpenSystems.html} of two uniform materials. When light goes from one medium to another, Snell's law says that the ratio of the sines of the angles between the normal to the interface and the rays in the two media equals the ratio of the \htmladdnormallink{speeds}{http://planetphysics.us/encyclopedia/Velocity.html} in the two media

\begin{equation} \frac{\sin \phi_1}{\sin \phi_2} = \frac{s_1}{s_2} \end{equation}

The ratio of the \htmladdnormallink{speeds of light}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html} in any 3 media is called the index of \htmladdnormallink{refraction}{http://planetphysics.us/encyclopedia/FluorescenceCrossCorrelationSpectroscopy.html} of the second medium relative to the first

\begin{equation} n_{2,1} = \frac{s_1}{s_2} \end{equation}

The ratio of the speeds of light in a vacuum to the speed in a given medium is called the absolute index of refraction of the medium. If $s$ is the speed of light in a vacuum and $s_1$ and $s_2$ are the speed of light in the two media, then the absolute indexes of refraction for the two media are

\begin{equation} n_1 = \frac{s}{s_1} \,\,\,\,\,\,\,\, n_2 = \frac{s}{s_2} \end{equation}

Combining equations (2) and (3), Snell's law can be written in terms of the absolute indexes of refraction

\begin{equation} n_1 \sin \phi_1 = n_2 \sin \phi_2 \end{equation}

\begin{center} \includegraphics[scale=1]{SnellsLaw2.eps}

{\bf Figure 1:} Snell's law \end{center}

\begin{thebibliography}{9}

\bibitem{Ferry} Ferry, Ervin S., {\em A Handbook of Physics Measurements}. Vol 1. Stanhope Press, Boston, 1918.

\end{thebibliography}

This entry is a derivative of the Public domain work [1]

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