When dust gets between the glass elements of a Newtons ring setup, it can cause an unknown

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When dust gets between the glass elements of a Newton€™s ring setup, it can cause an unknown shift in the film thickness Δd, and a corresponding change in the fringe pattern. The path difference is then 2(d + Δd) = mλƒ, and because of the additional relative phase shift on reflection, this corresponds to a dark band. Prove that the radius of curvature of the lens (R) given by

х, R = (тт — тт-1)Af Хт Хт—1 Тт-1)As

can be determined in the lab (via adjacent dark fringes) independent of Δd.

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Optics

ISBN: 978-0133977226

5th edition

Authors: Eugene Hecht

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