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Reflection/anti-reflection coatings

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"A thin layer of magnesium fluoride (n = 1.38) is used to coat a flint-glass lens (n = 1.61). What thickness should the magnesium fluoride film have if the reflection of 463 nm light is to be suppressed? Assume that the light is incident at right angles to the film."

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In thin film interference, when the film becomes thinner and thinner, there becomes a destructive interference. Thus the light reflected off the film appears to ...

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Solution gives all mathematical steps.