Abstract

The computation of the tertiary aberration coefficients of symmetrical optical systems composed of spherical surfaces has been fully dealt with previously. To show that it is quite feasible to calculate in the same way coefficients of still higher order, the present paper deals with the coefficient of quaternary (i.e., ninth order) spherical aberration. The intrinsic contributions are first brought into a remarkably simple form. Thereafter the required iteration formula is developed, and, by way of example, the actual computations are carried out for a certain triplet, the computing scheme in this instance being treated as an appendix to that for the set of tertiary coefficients.

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  1. H. A. Buchdahl, J. Opt. Soc. Am. 46, 941 (1956). This paper will be referred to as I. The second and third, viz. J. Opt. Soc. Am. 48, 563 (1958), and 48, 747 (1958), will be referred to as II and III, respectively.
  2. A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, London, 1929), p. 108.
  3. H. A. Buchdahl, Optical Aberration Coefficients (Oxford University Press, London, 1954), Chap. IX, p. 140.

Buchdahl, H. A.

H. A. Buchdahl, J. Opt. Soc. Am. 46, 941 (1956). This paper will be referred to as I. The second and third, viz. J. Opt. Soc. Am. 48, 563 (1958), and 48, 747 (1958), will be referred to as II and III, respectively.

H. A. Buchdahl, Optical Aberration Coefficients (Oxford University Press, London, 1954), Chap. IX, p. 140.

Conrady, A. E.

A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, London, 1929), p. 108.

Other

H. A. Buchdahl, J. Opt. Soc. Am. 46, 941 (1956). This paper will be referred to as I. The second and third, viz. J. Opt. Soc. Am. 48, 563 (1958), and 48, 747 (1958), will be referred to as II and III, respectively.

A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, London, 1929), p. 108.

H. A. Buchdahl, Optical Aberration Coefficients (Oxford University Press, London, 1954), Chap. IX, p. 140.

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