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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 54, Iss. 5 — May. 1, 1964
  • pp: 595–597

Length of Self-Radiant Lines by Use of a Critical Point in the Image

LUTHER W. SMITH and HAROLD OSTERBERG  »View Author Affiliations


JOSA, Vol. 54, Issue 5, pp. 595-597 (1964)
http://dx.doi.org/10.1364/JOSA.54.000595


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Abstract

The position of the first minimum or stationary value which appears in the irradiance beyond the end of the geometrical image in the image plane of an objective with a narrow annular aperture when a line element of uniform radiance lies in the object plane is examined for its relation to the length of the line element. The line element is assumed to be self-radiant or its equivalent by scattering. A table of the relation between line length and the position of the first minimum or stationary value is presented for lengths 2K in the range 0≦2K≦5.728 Airy units. Line elements as short as 0.4 Airy unit appear measurable by this method.

Citation
LUTHER W. SMITH and HAROLD OSTERBERG, "Length of Self-Radiant Lines by Use of a Critical Point in the Image," J. Opt. Soc. Am. 54, 595-597 (1964)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-54-5-595


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References

  1. An objective of Sonine type S0.
  2. H. Osterberg and L. W. Smith, J. Opt. Soc. Am. 54, 408 (1964) (accompanying paper).
  3. Similar curves of Hv(xa) for other objectives of the Sonine family Sv do not exhibit well-developed minima along x except for lines having K values so small that the diffraction image is highly circular.
  4. See Ref. 2.
  5. R. Burnham and J. E. Jackson, Science 122, 951–953 (1955).

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