A uniform film of TiO2, 1036 nm thick and having index of refraction 2.62, is spread...

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Physics

A uniform film of TiO2, 1036 nm thick and having index ofrefraction 2.62, is spread uniformly over the surface of crownglass of refractive index 1.52. Light of wavelength 490 nm falls atnormal incidence onto the film from air. You want to increase thethickness of this film so that the reflected light cancels.
a) What is the minimum thickness of TiO2 that you mustadd so the reflected light cancels as desired?
b) After you make the adjustment in part (a), what is the pathdifference between the light reflected off the top of the film andthe light that cancels it after traveling through the film? Expressyour answer in nanometers.
c) Express your answer in wavelengths of the light in the TiO2film.

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4.1 Ratings (478 Votes)

The condition for destructive interference of light reflected from the two surfaces of a thin film can be calculated using the thickness dd of the material its refractive index nn and the wavelength This case is very common in antireflection coatings If one See Answer

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