Physics Library
 An open source physics library
Encyclopedia | Forums | Docs | Random | Template Test |  
Login
create new user
Username:
Password:
forget your password?
Main Menu
Sections

Talkback

Downloads

Information
Fermat's principle (Topic)

Fermat's Principle

Initially conceived in optics, Fermat's principle was stated as the principle of least time for traveling light waves, that is the path or paths taken between two points by light which can be traversed in the least time; in an Euclidean space or a flat Minkowski space, this is the straight line defined by a single ray of light. This can be thought as the trajectory of an emitted photon traveling at the universal maximum speed $c$ in vacuum. In a Riemannian or Minkowski spacetime this corresponds to the surface of a light cone.

In general relativity, however, a point particle path is a geodesic curve in a Riemannian space that can be curved, for example, by the presence of intense gravitational fields. One such effect was observed and reported by modern astrophysicists and is called gravitational lensing.

Minimum Action Principles in Electromagnetism and Quantum Theories



"Fermat's principle" is owned by bci1.

View style:

See Also: Heron's principle

Other names:  principle of minimum action
Also defines:  gravitational lensing
Keywords:  Fermat's principle in optics and quantum theories, gravitational lensing, Euclidean space, Riemannian space

Cross-references: fields, geodesic, point particle, spacetime, speed, waves
There are 2 references to this object.

This is version 8 of Fermat's principle, born on 2009-02-13, modified 2009-03-03.
Object id is 520, canonical name is FermatsPrinciple.
Accessed 786 times total.

Classification:
Physics Classification00. (GENERAL)
 02. (Mathematical methods in physics)
 42.15.-i (Geometrical optics)
 02.40.Dr (Euclidean and projective geometries)
 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )

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

No messages.

Testing some escape charachters for html category with a generator has an injective cogenerator" now escape ” with "