ECE318 Uoft - Problem Set 1 Solutions
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Tutorial 1 Solutions ECE 318 Jan 15 / 17, 2013 1) The distance from focus 1 to any point on the surface of the ellipse and then to the second focal point is constant. This sum of distance times the refractive index of the medium in the ellipse is the optical path length, OPL. Hence, an invariant OPL tells us that light leaving from at point source at the position of focus 1 will reflect from all the surfaces of the ellipse to meet at focal point 2. 2) 3) Snell’s Law: sin θ w = n air sin (θ air =90 o ) / n w = 1/1.33 θ w = 48.7 degrees In reverse, the boat light illuminates downward into the water in a conical shape only within this maximum angle θ w ; a scuba diver below the boat, but outside of this illumination cone, would not see boat lights from above. 4) 5)
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Optics Problem Set
Transcript of ECE318 Uoft - Problem Set 1 Solutions
Tutorial 1 Solutions ECE 318 Jan 15 / 17, 2013
1) The distance from focus 1 to any point on the surface of the ellipse and then to the second focal point is
constant. This sum of distance times the refractive index of the medium in the ellipse is the optical path length, OPL. Hence, an invariant OPL tells us that light leaving from at point source at the position of focus 1 will reflect from all the surfaces of the ellipse to meet at focal point 2.
2)
3) Snell’s Law: sin θw = nair sin (θair=90o) / nw = 1/1.33 à θw = 48.7 degrees In reverse, the boat light illuminates downward into the water in a conical shape only within this
maximum angle θw ; a scuba diver below the boat, but outside of this illumination cone, would not see boat lights from above.
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