Reflection at a Surface - Reflection at a Surface Use...

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Reflection at a Surface Use Fermat’s Principle to determine the valid ray path at a reflective boundary. The ray propagates from point a to point b. The variable y defines the ray intersection location at the interface: p b a y p - y h 1 n h 2 L 1 L 2 θ 1 θ 2 As drawn: () 12 22 11 2 2 1 1 1 1 2 2 2 2 2 0 for a valid ray path sin sin 0 as drawn Then sin sin 0 sin sin =+ = == = + −− =< +− += =− OPL nL nL Lh y Lhp y dOPL dL dL nn dy dy dy dL y y dy L hy py dL dy L hp y θ θθ 1 2 0 0 > < We will first do the problem assuming that L 1 and L 2 are both positive distances in an index of n.
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This derivation can alternately be done using the sign conventions where the sign of the index of refraction changes upon reflection.
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Reflection at a Surface - Reflection at a Surface Use...

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