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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 63, Iss. 4 — Apr. 1, 1973
  • pp: 445–449

Focal depth of a transmitting axicon

John W. Y. Lit and Réal Tremblay  »View Author Affiliations


JOSA, Vol. 63, Issue 4, pp. 445-449 (1973)
http://dx.doi.org/10.1364/JOSA.63.000445


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Abstract

The transmitting axicon is examined for the axial field distribution of a regular axicon when the incident wave is plane and uniform, and when it has a gaussian irradiance distribution. In the microwave region, the focal depth of an axicon does not differ very much from that of a perfect lens. In the visible region, the axicon possesses a much greater focal depth, which can be greatly changed by changing the curvature of the slanting side of the axicon. For an axicon with a straight slanting side and small height, when a gaussian incident wave is used, the irradiance at the principal focus varies inversely with the focal length.

Citation
John W. Y. Lit and Réal Tremblay, "Focal depth of a transmitting axicon," J. Opt. Soc. Am. 63, 445-449 (1973)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-63-4-445


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References

  1. J. H. McLeod, J. Opt. Soc. Am. 44, 592 (1954).
  2. O. Bryngdahl, J. Opt. Soc. Am. 60, 915 (1970); J. Opt. Soc. Am. 61, 169 (1971).
  3. S. Cornblee, Proc. Inst. Electr. Eng. 117, 869 (1970).
  4. J. O. Stoner, Appl. Opt. 9, 53 (1970).
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  6. J. W. Y. Lit, J. Opt. Soc. Am. 60, 1001 (1970).
  7. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (U. S. Government Printing Office, Washington, D. C. 1964; Dover, New York, 1965), p. 304, Eqs. 7.4.38 and 39.
  8. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 307, Eqs. 3.322.1 and 2.

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