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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    Entrance-Port and Exit-Port, respectively, of the optical system; thus, g = STy q' = S'V (47 and 49). Also, ql = S^, q2 = S2T2. r, R 98. The symbol r is used to denote the radius of the spherical refracting surface; or, more exactly, to denote the abscissa of the centre C with respect to the vertex A; r — AC. Similarly, rk = AkCk (2 and 6) denotes the radius of the kth surface. 99. The symbols R, R and R', Rr are used to denote the radii of curvature at the axial points M and M' of the I. and II. image-surfaces, before and after refraction, respectively, at a spherical surface (Chap. XII); R = MK, R' = M'K\ R = MK, R' = M'K' (22 and 24). Also, R'k, R'k are used in the same way, with respect to the astigmatic image-surfaces after refraction at the &th spherical surface. s 100. The symbols s, s' are used to denote the distances, reckoned in each case from the incidence-point B of the chief ray, of the vertex S of an infinitely narrow pencil of meridian rays and the vertex Sr of the pencil of corresponding refracted rays, respectively; thus, s = BS, sf = BSr (5 and 45). Similarly s, s' denote the distances, from the incidence-point B of the chief ray, of the vertex S of an infinitely nar- row pencil of sagittal rays and the vertex S' of the pencil of corre- sponding refracted rays, respectively; s = BIS, s' = BS' (5 and 45). If the rays traverse a system of prisms or a centered system of spherical surfaces, we have with respect to the &th surface: sk = Bk^k — BkSk_v sk = BkSk = -Bj.5j._j, sk = BkSk = BkSk+l, sk = BkSk = BkSk+1. t 101. In Chap. IX, t, tf denote the distances from the incidence- point J? of a chief ray lying in the plane of the principal section of a spherical surface of the points T, V of intersection with this ray of another meridian ray, before and after refraction, respectively; thus, / = BT, t' = BT', as in Fig. 121. See 5 and 48. u, u, U 102. The symbols u, u' are used to denote the abscissae, with respect to the principal points A, A' of two collinear systems, of a pair of conjugate axial points M, M' respectively; thus, u = AM, u' = AM' (2 and 24).