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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 52, Iss. 4 — Apr. 1, 1962
  • pp: 389–393

Third-Order and Fifth-Order Analysis of the Triplet

ROBERT E. HOPKINS  »View Author Affiliations

JOSA, Vol. 52, Issue 4, pp. 389-393 (1962)

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A series of triplet objectives have been corrected to the same third-order values and compared by computing the fifth-order aberrations. The calculations show that the most symmetrical solutions have reduced fifth-order coma but have an inward curving, high-order astigmatism.

ROBERT E. HOPKINS, "Third-Order and Fifth-Order Analysis of the Triplet," J. Opt. Soc. Am. 52, 389-393 (1962)

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  1. M. Berek, Grundlagen der Praktischen Optik (Verlag von Walter de Gruyter & Company, Berlin, 1930), pp. 123–130.
  2. R. E. Stephens, J. Opt. Soc. Am. 38, 1032 (1948).
  3. Vance Carpenter, thesis, University of Rochester (1950).
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  5. F. D. Cruikshank, Rev. optique 35, 5, 292 (1956).
  6. F. D. Cruikshank, Australian J. Phys. 11, 41 (1958).
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  8. The sign convention used for the aberrations agrees with Conrady. A. E. Conrady, Applied Optics and Optical Design (Dover Publications, New York, 1957).
  9. Since modern computers use floating-point arithmetic, all object distances may be considered as finite. To represent an infinite object distance, one merely inserts a large object-to-lens distance. For example, t01 can be made 1 × 106. Then for a 20° half-angle, Y¯0=0.364×106.
  10. H. A. Buchdahl, Optical Aberration Coefficients (Oxford University Press, London, 1954).
  11. F. D. Cruikshank and G. A. Hills, J. Opt. Soc. Am. 50, 379 (1960).

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