The Production of Elliptic Interferences in Relation to Interferometry volume 1

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The case 9>r in the present paper is not of much experimental interest, and may be omitted here. For the case of r>9 we shall have successively and for the total interferences RD, DR, equation 8, dX X cos dd -j = . J : 2T ~T~ ( I I ) a/i sin r b sin an dr _ tan r cos dO dn sin r b sin 6 dn dfi _ afj. Cos dO dn ~s5Tr-&sin0 dn dd' = jfcos0(sinr-sin0) dd dn ~ cos 0'(sin r-b sin 6) dn * See Kohlrausch's Leitfaden, nth edition, 1910, p. 712, light crown glass being taken.
20 THE PRODUCTION OF ELLIPT
...IC INTERFERENCES and finally corresponding to equations 6, 7, 8, dO^ _ _cosO * (sin r -sing) dn ~ 26 cos 0' 6^sin7sin0 ^ (sin r- sing) dn 26 cos 0' 6 cos r cos + a sin r tan r cos d0' cos ^(sin r sin 0) dn 26 cos 0' 6( i cos (r 0)) + a sin r sin 0( i cot tan r) the last term in the denominator being corrective. Here dB'/dn is the observed angular deviation of two consecutive fringes, so that dn dn _ dn The equation corresponding to the incorrect equation 8' would have been dd' = cos dn 26 cos 0' X cos 2 0(sin r sin 0) 6cos 2 0(i cos(r 0)) (sinr sin0)(sinr 6sin0j atan rcos 2 0sin(r 0) 17.

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