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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)
http://dx.doi.org/10.1364/JOSA.52.000389


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Abstract

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.

Citation
ROBERT E. HOPKINS, "Third-Order and Fifth-Order Analysis of the Triplet," J. Opt. Soc. Am. 52, 389-393 (1962)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-52-4-389


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References

  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).
  4. N. Lessing, J. Opt. Soc. Am. 48, 558 (1958).
  5. F. D. Cruikshank, Rev. optique 35, 5, 292 (1956).
  6. F. D. Cruikshank, Australian J. Phys. 11, 41 (1958).
  7. A. E. Conrady, Applied Optics and Optical Design (Dover Publications, New York, 1960), Part II, p. 317.
  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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