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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 60, Iss. 11 — Nov. 1, 1970
  • pp: 1433–1436

Geometrical Optics of Parabolic Index-Gradient Cylindrical Lenses

FELIX P. KAPRON  »View Author Affiliations

JOSA, Vol. 60, Issue 11, pp. 1433-1436 (1970)

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The first-order imaging properties of dielectric rods with refractive index decreasing quadratically with distance from the axis are analyzed from the viewpoint of gaussian ray optics. Cardinal-point locations vary with rod length, but the usual object-image relationships are then still applicable. Several ray diagrams are shown; one of the examples is a contact magnifier.

© 1970 Optical Society of America

FELIX P. KAPRON, "Geometrical Optics of Parabolic Index-Gradient Cylindrical Lenses," J. Opt. Soc. Am. 60, 1433-1436 (1970)

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  1. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970).
  2. A. Fletcher, T. Murphy, and A. Young, Proc. Roy. Soc. (London) 223, 216 (1954).
  3. E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229 (1967).
  4. S. Kawakami and J. Nizhizawa, IEEE Trans. MTT-16, 814 (1968).
  5. E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 753 (1970).
  6. C. N. Kurtz and W. Streifer, IEEE Trans. MTT-17, 360 (1969) and references therein.
  7. P. K. Tien, J. P. Gordon, and J. R. Whinnery, Proc. IEEE 53, 129 (1965).
  8. S. Kawakami and J. Nishizawa, J. Appl. Phys. 38, 4807 (1967).
  9. S. E. Miller, Bell System Tech. J. 44, 2017 (1965).
  10. J. P. Gordon, Bell System Tech. J. 45, 321 (1966).
  11. E. A. J. Marcatili, Bell System Tech. J. 46, 149 (1967).
  12. H. Kita, I. Kitano, T. Uchida, and M. Furukawa, paper presented at the 72nd Annual Meeting of the Am. Ceram. Soc., May 1970, Philadelphia, Pa.
  13. A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 76 (1969).
  14. E. T. Kornhauser and G. S. Heller, in Proceedings of the Symposium on Electromagnetic Theory and Antennas, edited by E. C. Jordan (Pergamon, New York, 1963), p. 891.

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