KnowraFermat's principleLinked fromLinked fromThe 17 pages that link to Fermat's principle, each with the reason it gives.All 17Broader topic 1Related 13Compared with 3RefractionRelated: Its least-time formulation yields the law governing refraction at an interface.Gravitational lensingRelated: Lensed images correspond to stationary travel-time paths through the gravitational field.Snell's lawRelated: Applying it to travel across an interface yields the sine relation in Snell's law.Atmospheric refractionRelated: It explains curved atmospheric ray paths through variation in light’s speed.Optical path lengthRelated: Stationary travel time is equivalent to stationary optical path length in a given medium.Geometrical opticsRelated: It provides a variational rule from which reflection and refraction laws can be derived.Principle of least actionRelated: It is an optical stationary-time principle analogous to stationary action.WavefrontRelated: Its stationary paths determine how optical wavefronts advance.Hamilton's principleRelated: It is a related variational principle, with travel time replacing mechanical action.Law of reflectionRelated: Its least-time construction derives equal incidence and reflection angles.Brachistochrone curveRelated: The analogy with light refraction offers a route to the brachistochrone solution.Ibn SahlRelated: It offers a later variational account of refraction that can be compared with Ibn Sahl's construction.Fagnano's problemRelated: The equal-angle reflection rule mirrors the path condition used in optical ray tracing.