A System of Applied Optics: Being a Complete System of Formulae of the Second Order, and the Foundation of a Complete System of the Third Order; With Examples of Their Practical Application
A System of Applied Optics: Being a Complete System of Formulae of the Second Order, and the Foundation of a Complete System of the Third Order; With Examples of Their Practical Application
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1906 edition. Excerpt: ... for astronomical photography, is practically an anastigmat in which the refractive index of the dispersive lens is considerably higher than that of the two collective lenses, and the Petzval condition is very considerably departed from, yet the final image is quite flat and shows only a trace of ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1906 edition. Excerpt: ... for astronomical photography, is practically an anastigmat in which the refractive index of the dispersive lens is considerably higher than that of the two collective lenses, and the Petzval condition is very considerably departed from, yet the final image is quite flat and shows only a trace of astigmatism within an angle of 20 degrees. Before proceeding to the question of thick lenses it is desirable to arrive at two more very useful formula: relating to contact or separated combinations. If the final image yielded by a photographic lens has Power when separated. Anastigmats could have been produced by the aid of the old crown and flint glasses only. A practical instance. The Cooke lens for astronomical photography. a little residual astigmatism away from the axis, it yet remains desirable to attain an approximately flat image, and two useful compromises suggest themselves. When the primary 1. The image formed by rays in primary planes may be got flat, image la made flat. leaving the image formed by rays in secondary planes still somewhat curved concave to the lens. In such case what will be the radius of curvature (r) of such secondary image? It is evident that the primary E.C.s which throw the primary image back on to the focal plane must be equal to ft 2N ft, If p = the power of the collective and that of the dispersive lens, the simultaneous secondary E C.s will then be _ tan2 M 1 3/iy + 1 _ 1_ 3jxn + 1 3 UP 2N ft, )' which latter must then be subtracted from the normal curvature errors in secondary planes, so that we have tnJl 1 Fn+l tan2/l 3ft, + 1 1 3ft, + 1.... ton V2P ft 2N ft, r2p--ft 2N" ) (4) to express the R curvature correction for the final image, which reduces to 2r VP 3ft N Sfjij Reciprocal of the and finally...
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