When dust gets between the glass elements of a Newtons ring setup, it can cause an unknown shift in the film thickness Icirc d, and a corresponding change in the fringe pattern The path difference is then 2(d Icirc d) m Icirc raquo AElig , 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 can be determined in the lab (via adjacent dark fringes) independent of Icirc d , R ( 1)Af 1 1)As

Question: When dust gets between the glass elements of a Newtons ring setup, it can cause an unknown shift in the film thickness Îd, and a

When dust gets between the glass elements of a Newton€™s ring setup, it can cause an unknown shift in the film thickness Î”d, and a corresponding change in the fringe pattern. The path difference is then 2(d + Î”d) = mÎ»_Æ’, 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 Î”d.

, R = ( -1)Af 1 -1)As

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