Our first goal is to set out findingdin terms ofrandRsince this will control the interferenceupon reflection. Using a little trigonometry we can see that the hypotenuse of the triangle formedbyrandRin the figure ish=√R2-r2. Hence,dis given byd=R-pR2-r2⇒r=p2dR-d2Since the problem tells us thatr/R1 we can treat the light as if it were all coming straightinto the lens/plate setup and reflecting straight back (i.e. we will neglect the fact that the camerais a single point). The other approximation that we will make is that since the radius of curvatureof the lens is very small we can neglect any refraction effects and treat the rays as if they were
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