A Both Sides Of Uniform Film

(a) Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at A2 and an intensity maximum is observed at A1, where A1 – A2. Assuming that no intensity minima are observed between A1 and A2, show that the integer m in Equations 37.16 and 37.17 is given by m = A1/2(A1 – A2).
(b) Determine the thickness of the film, assuming n = 1.40, A1 = 500 nm, and A2= 370 nm.

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