Abstract

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

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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.

Born, M.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970).

Fletcher, A.

A. Fletcher, T. Murphy, and A. Young, Proc. Roy. Soc. (London) 223, 216 (1954).

French, W. G.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 76 (1969).

Furukawa, M.

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.

Gordon, J. P.

J. P. Gordon, Bell System Tech. J. 45, 321 (1966).

P. K. Tien, J. P. Gordon, and J. R. Whinnery, Proc. IEEE 53, 129 (1965).

Heller, G. S.

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.

Herriott, D. R.

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 753 (1970).

Kawakami, S.

S. Kawakami and J. Nishizawa, J. Appl. Phys. 38, 4807 (1967).

S. Kawakami and J. Nizhizawa, IEEE Trans. MTT-16, 814 (1968).

Kita, H.

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.

Kitano, I.

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.

Kornhauser, E. T.

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.

E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229 (1967).

Kurtz, C. N.

C. N. Kurtz and W. Streifer, IEEE Trans. MTT-17, 360 (1969) and references therein.

Marcatili, E. A. J.

E. A. J. Marcatili, Bell System Tech. J. 46, 149 (1967).

McKenna, J.

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 753 (1970).

Miller, S. E.

S. E. Miller, Bell System Tech. J. 44, 2017 (1965).

Murphy, T.

A. Fletcher, T. Murphy, and A. Young, Proc. Roy. Soc. (London) 223, 216 (1954).

Nishizawa, J.

S. Kawakami and J. Nishizawa, J. Appl. Phys. 38, 4807 (1967).

Nizhizawa, J.

S. Kawakami and J. Nizhizawa, IEEE Trans. MTT-16, 814 (1968).

Pearson, A. D.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 76 (1969).

Rawson, E. G.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 76 (1969).

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 753 (1970).

Streifer, W.

C. N. Kurtz and W. Streifer, IEEE Trans. MTT-17, 360 (1969) and references therein.

Tien, P. K.

P. K. Tien, J. P. Gordon, and J. R. Whinnery, Proc. IEEE 53, 129 (1965).

Uchida, T.

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.

Whinnery, J. R.

P. K. Tien, J. P. Gordon, and J. R. Whinnery, Proc. IEEE 53, 129 (1965).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970).

Yaghjian, A. D.

E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229 (1967).

Young, A.

A. Fletcher, T. Murphy, and A. Young, Proc. Roy. Soc. (London) 223, 216 (1954).

Other

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, New York, 1970).

A. Fletcher, T. Murphy, and A. Young, Proc. Roy. Soc. (London) 223, 216 (1954).

E. T. Kornhauser and A. D. Yaghjian, Radio Sci. 2, 229 (1967).

S. Kawakami and J. Nizhizawa, IEEE Trans. MTT-16, 814 (1968).

E. G. Rawson, D. R. Herriott, and J. McKenna, Appl. Opt. 9, 753 (1970).

C. N. Kurtz and W. Streifer, IEEE Trans. MTT-17, 360 (1969) and references therein.

P. K. Tien, J. P. Gordon, and J. R. Whinnery, Proc. IEEE 53, 129 (1965).

S. Kawakami and J. Nishizawa, J. Appl. Phys. 38, 4807 (1967).

S. E. Miller, Bell System Tech. J. 44, 2017 (1965).

J. P. Gordon, Bell System Tech. J. 45, 321 (1966).

E. A. J. Marcatili, Bell System Tech. J. 46, 149 (1967).

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.

A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Letters 15, 76 (1969).

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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