Radius of curvature

Figure 35-47a shows a lens with radius of curvature R lying on a flat glass plate and illuminated from above by light  with wavelength λ. Figure 35-47b (a photograph taken from above the lens)

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shows that circular interference fringes (called Newton”s rings) appear, associated with the variable thickness d of the air film between the lens and the plate. Find the radii r of the interference maxima assuming r/R « 1.

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