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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 41, Iss. 9 — Sep. 1, 1951
  • pp: 636–639

Ray Tracing Using the IBM Card Programmed Electronic Calculator

WILLIAM A. ALLEN and RICHARD H. STARK  »View Author Affiliations


JOSA, Vol. 41, Issue 9, pp. 636-639 (1951)
http://dx.doi.org/10.1364/JOSA.41.000636


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Abstract

The IBM Card Programmed Electronic Calculator has been applied to the problem of lens design. Optical design is an inverse process consisting of a provisional choice of optical parameters, an exhaustive mathematical study of such a tentative prescription, and subsequent refinement of the lens system.

The standard ray tracing equations can be adapted easily for machine use. The mathematical treatment is algebraic rather than trigonometric. Examples of meridional and skew ray tracing are given. A satisfactory lens has been calculated and tested entirely by machine methods.

The machine is expected to be of value in the refining of optical systems, in the determination of optical shop tolerances, and in the investigation of existing prescriptions.

Citation
WILLIAM A. ALLEN and RICHARD H. STARK, "Ray Tracing Using the IBM Card Programmed Electronic Calculator," J. Opt. Soc. Am. 41, 636-639 (1951)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-41-9-636


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References

  1. H. R. Grosch, J. Opt. Soc. Am. 39, 1059(A) (1949).
  2. D. P. Feder, J. Opt. Soc. Am. 41, 289(A) (1951).
  3. The Thomas J. Watson Astronomical Computing Bureau, Columbia University, New York, 1940.
  4. A. E. Conrady, Applied Optics and Optical Design (Oxford University Press, New York, 1929), Part 1, p. 4.
  5. See reference 4, Part 1, p. 413.
  6. L. Silberstein, Simplified Method of Tracing Rays Through Any Optical System of Lenses, Prisms and Mirrors (Longmans, Green and Company, New York, 1918).
  7. See reference 4, Part 1, p. 409.

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