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Applied Optics

Applied Optics


  • Vol. 10, Iss. 5 — May. 1, 1971
  • pp: 1164–1171

Analytic Solution of Ray Equations in Cylindrically Inhomogeneous Guiding Media. Part 2: Skew Rays

K. B. Paxton and W. Streifer  »View Author Affiliations

Applied Optics, Vol. 10, Issue 5, pp. 1164-1171 (1971)

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Analytic solutions are found for skew ray paths in inhomogeneous cylindrical systems such as GRIN rods and gas lenses, which focus rays by virtue of a gradual radial decrease in refractive index. The solutions are obtained by employing digital computers to carry out analytic, as opposed to numerical, calculations.

© 1971 Optical Society of America

Original Manuscript: December 10, 1970
Published: May 1, 1971

K. B. Paxton and W. Streifer, "Analytic Solution of Ray Equations in Cylindrically Inhomogeneous Guiding Media. Part 2: Skew Rays," Appl. Opt. 10, 1164-1171 (1971)

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  1. A. D. Pearson, W. G. French, E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969); see also F. P. Kapron, J. Opt. Soc. Amer. 60, 1433 (1970), P. J. Sands, J. Opt. Soc. Amer. 60, 1436 (1970), D. T. Moore, M. S. thesis, Institute of Optics, University of Rochester (1970) and the papers cited in Ref. 4. [CrossRef]
  2. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, H. Matsumura, paper presented at the IEEE/Opt. Soc. Amer. Joint Conf. Laser Eng. Appl., May 1969, Washington, D. C.
  3. D. Marcuse, S. E. Miller, Bell Sys. Tech. J. 43, 1759 (1964).
  4. W. Streifer, K. B. Paxton, Appl. Opt. 10, 769 (1971). [CrossRef] [PubMed]
  5. N. N. Bogoliubov, Y. A. Mitropolsky, Asymptotic Methods in the Theory of Non-Linear Oscillations (Gordon and Breach, New York, 1961).
  6. M. Herzberger, Modern Geometrical Optics (Interscience, New York, 1958), p. 30.

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