PlanetPhysics
 Physics for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Random
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (49)
Orphanage (1)
Unclass'd (3)
Unproven (20)
Corrections (1)

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
Newsletters
Statistics

information
Docs
Classification
News
Legalese
History
ChangeLog
TODO List
Snell's law (Law)

Snell's law describes the relationship between an incident ray of light and that of the refracted ray of light at the boundary 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 speeds in the two media

$\displaystyle \frac{\sin \phi_1}{\sin \phi_2} = \frac{s_1}{s_2}$ (1)

The ratio of the speeds of light in any 3 media is called the index of refraction of the second medium relative to the first

$\displaystyle n_{2,1} = \frac{s_1}{s_2}$ (2)

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

$\displaystyle n_1 = \frac{s}{s_1} n_2 = \frac{s}{s_2}$ (3)

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

$\displaystyle n_1 \sin \phi_1 = n_2 \sin \phi_2$ (4)

\includegraphics[scale=1]{SnellsLaw2.eps}
Figure 1: Snell's law

Bibliography

1
Ferry, Ervin S., A Handbook of Physics Measurements. Vol 1. Stanhope Press, Boston, 1918.

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



"Snell's law" is owned by bloftin.
(view preamble)

View style:

See Also: topic on equations in mathematical physics

Other names:  law of refraction

Cross-references: refraction, speeds, boundary
There are 2 references to this object.

This is version 4 of Snell's law, born on 2009-01-20, modified 2009-01-21.
Object id is 418, canonical name is SnellsLaw.
Accessed 449 times total.

Classification:
Physics Classification42.15.Dp (Wave fronts and ray tracing)

Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:

No messages.

Interact
rate | post | correct | update request | add example | add (any)