Difference between revisions of "Forest UCM CoV"
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light takes the time <math>t</math> to travel between two points can be expressed as | light takes the time <math>t</math> to travel between two points can be expressed as | ||
| − | :<math>t = \int_A^B dt =\int_A^B | + | :<math>t = \int_A^B dt =\int_A^B \frac{1}{v} ds =</math> |
== Euler-Lagrange Equation== | == Euler-Lagrange Equation== | ||
Revision as of 01:04, 13 October 2014
Calculus of Variations
Fermat's Principle
Fermats principle is thatlight takes a path between two points that requires the least amount of time.
If we let S represent the path of light between two points then
light takes the time to travel between two points can be expressed as