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In discussing geometrical optics, Fermat's principle of least time is often used to solve problems and is generally used as a replacement of laws of reflection and refraction. Fermat's principle is usually presented as an intuitive idea, but I wish to find a way where we can show that is is actually a result of least of reflection and refraction. We have explanation for laws of reflection and refraction and they must be the basic laws, with Fermat's principle being a consequence of it. Do we have any explanation suggesting that Fermat's principle is the direct consequence of laws of reflection and refraction?

Qmechanic
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Yashkalp Sharma
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  • Related: https://physics.stackexchange.com/q/2041/2451 , https://physics.stackexchange.com/q/100317/2451 , https://physics.stackexchange.com/q/257140/2451 and links therein. – Qmechanic Aug 25 '19 at 10:15
  • Sir, how my question is related to the one you mentioned, I wish to find a way to prove Fermat's principle using reflection and refraction. – Yashkalp Sharma Aug 25 '19 at 10:24
  • Do you know the optical laws for reflection and refraction? – Qmechanic Aug 25 '19 at 10:31

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