The principles and methods of geometrical optics : especially as applied to the theory of optical instruments / by James P. C. Southall.

  • Southall, James P. C. (James Powell Cocke), 1871-1962.
Date:
1913
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Licence: In copyright

Credit: The principles and methods of geometrical optics : especially as applied to the theory of optical instruments / by James P. C. Southall. Source: Wellcome Collection.

Provider: This material has been provided by UCL Library Services. The original may be consulted at UCL (University College London)

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    the instrument, and, on the other hand, by the object as seen by the naked eye at the distance of distinct vision. x, x, X 163. In an Infinitely Thin Lens, the symbols x, x' are used to denote the reciprocals of the abscissae, with respect to the optical centre A (2), of the points M, M' (28) where a paraxial ray crosses the axis before entering the lens and after leaving it, respectively; thus, x = l/u, x' = i/u' (104). Similarly, in a centered system of Infinitely Thin Lenses, xk, xk denote the same reciprocals with respect to the &th lens. Similarly, also, the symbols x, x are employed as follows (see 104): x = ifu, x' = i/u'; xk = i/uk, xk = i/uk; x = i/u, x' = i/u'; xk = i/uk, xk = i/u'k. 164. The so-called axial magnification (or depth magnification''') with respect to a pair of conjugate axial points ikf, M' of two col- linear systems is denoted by X\ thus, if FM = x, E'M' = x' (11, 12, 24 and 107), we have: X = dx'/dx. The symbols X, X denote the axial magnifications of an optical system with respect to a given axial object-point M for rays of light of wave-lengths X, X, respectively. In Chap. VII, X0 is used to denote the axial magnification at the point 0 (see 35). Y, Y 165. Y denotes the so-called lateral magnification11 at a pair of conjugate axial points M, M' (24) of two collinear systems: Y = y'\y. In an optical system composed of a centered system of m spherical surfaces, Y = ymjyv See 111. F, Y denote the lateral magnifications of an optical system with respect to a given axial object-point M for rays of light of wave-lengths X, X, respectively. Y denotes the lateral magnification at the pupil-centres M, M'. In Chap. VII, F0 denotes the lateral magnification at the axial object-point 0 (see 35). 166. In the theory of the refraction of an infinitely narrow bundle of rays Yu, Yu denote the lateral magnifications of the collinear plane- systems 7r, tt' and 7r, tt', respectively (68). See 149a.