Simplified Method of Tracing Rays Through Any Optical System of Lenses Prisms

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This settles the question of r. Next, "DJ given" now means lt fa given, i. E. , to be general, % = a cos O l + (b cos fa + c sin fa) sin lt (7) and since, by the choice of the first meridian, fa = o, n 1 =acos^ 1 +bsin^ 1 . (7 a) In fine, the complete numerical data, immediately attackable by the computer, are flu rb > the latter two as in (5), or, if he prefers, with re as in (6) instead of rb.
Such being the scalar data, act according to the compact pro- cedure of Section 4. Thus * c
...os z'j = rjiij = cos O l (ija) + sin 6> 1 (ijb) - cos #! . Cos a + sin X cos /?, by (70), (5) ; whence sini/s- sinij and ^ 1 =ficosi 1 / -cosi 1, * Remembering that in the present case B l =T l =T t /*} = !, /* 1 / =/* a = Ai, ^\.
HINTS AND EXAMPLES 13 ready for the first refracted ray P*l=tl+gl*l=^2- ( 8 ) If the reader wishes to split this at the present stage he can do so at once, multiplying (8) scalarly by a, b or c. But, being interested only in the finally emergent ray, let us proceed according to the general prescription of Section 4.


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