Thisoneisbetter notthequickestroute a x1 l1 y1 y2 l2

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Unformatted text preview: ield Muddy field, v=1 mph Think of a day at the beach… Think of a day at the beach… What's the fastest path to the ball knowing you can run faster than you can swim? This one is better Not the quickest route… A x1 l1 y1 y2 l2 x2 Time from A to B = t = l1/v1 + l2/v2 B 1 = v1 dt x1 x2 dx2 = + 2 2 2 2 dx1 v1 x1 + y1 v2 x2 + y2 dx1 -1 l1 x1 x =2 v1l1 v2l2 1 x +y + v2 2 1 2 1 2 2 x2 + y2 dt x1 x2 =0= − dx1 v1l1 v2l2 l2 sin θ1 sin θ 2 = v1 v2 Recall that v=c/n n1 sin θ1 = n2 sin θ 2 Preflight 6 70 Snell’s Law: 60 50 40 n1sinθ1 = n2sinθ2 n decreases θ increases 30 20 10 0 Total Internal Reflection Total Internal Reflection θ1 > θc Simulation Total Internal Reflection Preflight 8 70 60 50 40 30 θc clearly depends on both n2 and n1 20 10 0 Intensity Anything looks like a mirror if light is just glancing off it. If two materials have the same n then its hard to tell them apart. Preflight 4 70 60 50 40 30 20 10 0 Polarization Polarization sin θ 2 = sin(90 − θ1 ) = cosθ1 n2 tan...
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