Part A Constants If the glass has a refractive index of 1.60 and you use TiO2, w

Question

Part A Constants If the glass has a refractive index of 1.60 and you use TiO2, which has an index of refraction of 2.62, as the coating, what is the minimum film thickness that will cancel light of wavelength 540 nm When viewing a piece of art that is behind glass, one often is affected by the light that is reflected off the front of the glass (called glare), which can make it difficult to see the art clearly. One solution is to coat the outer surface of the glass with a thin film to cancel part of the glare nm SubmitReg Reguest Answer Part B If this coating is too thin to stand up to wear, what other thicknesses would also work? Find only the three thinnest ones. Enter your answer as three numbers separated with commas nm Submit Request Answer

Explanation / Answer

The formula to apply for this type of destructive interference for thin films is

2nt = m

For part A, you solved for when m = 1 to get a thinkness of 103.05 nm

For part B, when additional thicknesses are needed, use the next integer factors for m. The next three thicknesses will result from m values of 2, 3 and 4. The answers become

2(2.62)(t) = (2)(540 X 10-9) = 206.107 nm

2(2.62)(t) = (3)(540 X 10-9) = 309.16 nm

2(2.62)(t) = (4)(540 X 10-9) = 412.21 nm

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