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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 12 — Dec. 1, 1977
  • pp: 1672–1680

A method of determining the refractive index profile of a lenslike medium

Korehiro Maeda and Joji Hamasaki  »View Author Affiliations

JOSA, Vol. 67, Issue 12, pp. 1672-1680 (1977)

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A simple method to obtain the fourth-order coefficient of the series expansion for the radial distribution of a lenslike medium is described. The coefficient is obtained by measuring the position of a discontinuity of the far-field intensity pattern. The relation between the coefficient and this position is calculated by using either the ray theory or the wave theory. By using a ray model, the position of the discontinuity and the macroscopic intensity distribution is easily obtained.

© 1978 Optical Society of America

Korehiro Maeda and Joji Hamasaki, "A method of determining the refractive index profile of a lenslike medium," J. Opt. Soc. Am. 67, 1672-1680 (1977)

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  1. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, "Optical characteristics of a light-focusing fiber guide and its applications, " IEEE J. Quantum Electron. QE-6, 606–612 (1970).
  2. M. Ikeda, "Propagation of multimode fibers with graded core index," IEEE J. Quantum Electron. QE-10, 362–371 (1974).
  3. J. Hamasaki and K. Maeda, "Correction of image through lenslike medium by means of holography," 1974 National Conv. Rec. of IECE, Japan 1182.
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  7. E. G. Rawson and R. G. Murray, "Interferometric measurement of SELFOC dielectric constant coefficients to sixth order," IEEE J. Quantum Electron. QE-9, 1114–1118 (1973).
  8. M. Ikeda, M. Tateda, and H. Yoshikiyo, "Refractive index profile of a graded index fiber: Measurement by a reflection method," Appl. Opt. 14, 814–815 (1975).
  9. K. Terazawa, Sugaku Gairon (Iwanami, Tokyo, 1959).
  10. H. Matsumura and T. Kitano, "Geometrical analysis in a lens-medium with the fourth order aberration, " IECE of Japan, Rep. Tech. Group on Quantum Electron. QE70, 37 (1970).
  11. S. Kawakami and J. Nishizawa, "An optical waveguide with the optimum distribution of refractive index with reference to waveform distortion," IEEE Trans. Microwave Theory Tech. MTT-16, 814–818 (1968).
  12. J. Hamasaki, "Gaussian wave in spatial frequency domain," Seisan Kenkyu 24, 12–18 (1972).
  13. K. Maeda, "Research on image transmission characteristics of lens-like medium," Ph. D. thesis, University of Tokyo (1976).

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