Fermat's principle


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Related to Fermat's principle: Snell's law, Huygens principle

Fermat's principle

n
(General Physics) physics the principle that a ray of light passes from one point to another in such a way that the time taken is a minimum
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Mathematics: ABEGG'S RULE, ABEL'S THEOREM, ARCHIMEDES' PROBLEM, BERNOULLI'S THEOREM, DE MOIVRE'S THEOREM, DE MORGAN'S THEOREM, DESARGUES' THEOREM, DESCARTES' RULE OF SIGNS, EUCLID'S ALGORITHM, EULER'S EQUATION/FORMULA, FERMAT'S PRINCIPLE, FOURIER'S THEOREM, GAUSS'S THEOREM, GOLDBACH'S CONJECTURE, HUDDE'S RULES, LAPLACE'S EQUATIONS, NEWTON'S METHOD/PARALLELOGRAM, PASCAL'S LAW/TRIANGLE, RIEMANN'S HYPOTHESIS
In the frame of optical-mechanical analogies, when mechanical energy is a constant, Maupertuis' principle [22] from mechanics ([mathematical expression not reproducible]) leads for monochromatic waves to Fermat's principle given by [DELTA] [integral] nds = 0.
In order to estimate the path of the wave took, we have made use of Fermat's principle which states the path that minimises the travel time is the real path.