The Theory of Light

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P. 449. 2 Lord Eayleigh, Phil. Mag. Vol. Xxviii. P. 196, 1889.
202 NEWTON'S RINGS CHAP. VIII may be observed of an intermediate character in the formation of which both thickness and incidence vary. Herschel's relate to one particular case that of constant thickness; Talbot's to the other especially simple case of constant angle of incidence.
From the present point of view there is one very important dis- tinction, because one is achromatic and the other is not. To under- stand this, we follow
...Herschel's bands in greater detail.
In the same notation as before d 2ecos r = n\ and the question to be investigated is the relation of \ to n. The band of zero order (n = Q) occurs when r= 90, that is at the critical angle. For two successive bands we have n\ = 2e cos r, (n + 1 )X = 2e cos (r + dr), therefore \= - 2e sin rdr.
Also cos i-^di^fJL cos r-^drj, so using previous results we find , . _ fj, cos TI - cos r - X _ wX 2 cos r-y cos ^ ' fj, cos i ' 2e sin r 4e* cos ^ cos i sin r Near total reflection sin r - 1, (q.


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