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Problem 3, part A, B, C, D, and E PLEASE! Thank you so much!
incoming light 1 2 3 air n=1 Problem 3 (30pts) Explain your work A thin film of oil sits on top of a layer of water, as shown. The oil film has thickness d, the minimum nonzero thickness necessary to maximize reflection of light of wavelength (in air) 560 nm when incident normally on the oil (n=1.40). Reflections 1, 2, and 3 are directed along the same line as the incoming light but are drawn at an angle (as done in class). Assume, as in class, that at each boundary you have 4% reflection and 96% transmission. oil n = 1.4 water n= 1.33 a. You can ignore reflection 3 in this analysis. Why? b. Does the light experience a phase shift when it reflects at the air-oil interface (location A in the figure)? Write 0 or it at A to give your answer and explain briefly. incoming light 1 3 A air n=1 oil n= 1.4 water n = 1.33 Does the light experience a phase shift when it reflects at the oil-water interface (location B in the figure)? Write 0 or it at A to give your answer and explain briefly Does the light experience a phase shift when it reflects at the oil-air interface (location C) and the oil-water interface (location D)? Write 0 or at C and D. No explanation required.

c. Using Ap = **Ax + Apo, what must be the phase difference between reflections 1 and 2? d. Find the thickness d of the oil film. Explain your work. e. If the thickness of the oil film were reduced to almost zero (let's say d becomes 1 nm), what would you see in reflection? Explain.