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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 57, Iss. 5 — May. 1, 1967
  • pp: 610–611

Resolving Power of a Zone Plate

DANIEL J. STIGLIANI, JR., RAJ MITTRA, and RICHARD G. SEmONIN  »View Author Affiliations


JOSA, Vol. 57, Issue 5, pp. 610-611 (1967)
http://dx.doi.org/10.1364/JOSA.57.000610


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Abstract

The resolution (Rayleigh criterion for resolution) of two point sources by a zone plate is analyzed with respect to the number of zones. It is determined that for N (number of zones) less than 200 the limit of resolution is greater than that of a lens with the same aperture diameter, D, if only the zones which contribute light with a positive phase to the point of observation are used, and less than that of the lens if only the zones which contribute light with a negative phase to the point of observation are used. But, in the former case the maximum value of the side lobe (secondary maximum, first ring) is less than that of an equivalent-diameter lens whereas for the latter case the maximum value is greater. For N greater than 200 the resolution and side-lobe values approach those of a lens in both cases.

Citation
DANIEL J. STIGLIANI, JR., RAJ MITTRA, and RICHARD G. SEmONIN, "Resolving Power of a Zone Plate," J. Opt. Soc. Am. 57, 610-611 (1967)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-57-5-610


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References

  1. G. L. Rogers, Nature 166, 237 (1950).
  2. W. E. Kock, L. Rosen, and J. Rendeiro, Proc. IEEE (Letters) 54, 1599 (1966).
  3. W. E. Kock, Proc. IEEE (Letters) 54, 1610 (1966).
  4. O. E. Myers, Jr., Am. J. Phys. 19, 359 (1951).
  5. A. Sommerfeld, Optics (Academic Press Inc., New York, 1954), Ch. 5, pp. 195–233.
  6. F. A. Jenkins and H. E. White, Fundanzentals of Optics (McGraw-Hill Book Company, New York, 1957), 3rd ed., Chs. 15 and 18.
  7. M. Born and E. Wolf, Principles of Optics (Pergamon Press, New York, 1964), 3rd ed., Ch. 8.

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