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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A ray of light travels from point P1 in a medium of refractive index n1 to P2 in a medium of index n2, by way of the point Q on the plane interface between the two media, as in Figure 6.9. Show that Fermat's principle implies that, on the actual path followed, Q lies in the same vertical plane as P1 and P2 and obeys Snell's law, that n1 sin 01 = n2 sin 02. [Hints: Let the interface be the xz plane, and let P1 lie on the y axis at (0, h1, 0) and P2 in the x, y plane at (x2,- h2,0). Finally let Q = (x,0,z). Calculate the time for the light to traverse the path P1Q P2 and show that it is minimum when Q has z = 0 and satisfies Snell's law.]

Figure 6.9 Problem 6.4
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