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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 25, Iss. 15 — Aug. 1, 1986
  • pp: 2613–2619

Estimation of the fourth-order index coefficient of GRIN-rod lenses

Toyokazu Sakamoto  »View Author Affiliations


Applied Optics, Vol. 25, Issue 15, pp. 2613-2619 (1986)
http://dx.doi.org/10.1364/AO.25.002613


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Abstract

The fourth-order index coefficients of GRIN-rod lenses are estimated using the magnitudes of the third-order wave-front spherical aberration reported by Cline and Jander and with the relationship between the third-order wave-front spherical aberration and the fourth-order index coefficient derived for the model of a near one-quarter pitch GRIN-rod lens in a double-pass configuration using the optical path length which is found analytically by algebraic manipulation of the asymptotic solution for the meridional ray equation derived by Streifer and Paxton.

© 1986 Optical Society of America

History
Original Manuscript: February 19, 1986
Published: August 1, 1986

Citation
Toyokazu Sakamoto, "Estimation of the fourth-order index coefficient of GRIN-rod lenses," Appl. Opt. 25, 2613-2619 (1986)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-25-15-2613


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References

  1. W. J. Tomlinson, “Applications of GRIN-Rod Lenses in Optical Fiber Communication Systems,” Appl. Opt. 19, 1127 (1980). [CrossRef] [PubMed]
  2. K. Thyragarajan, A. Rohra, A. K. Ghatak, “Aberration Losses of the Microoptic Directional Coupler,” Appl. Opt. 19, 1061 (1980). [CrossRef]
  3. J. C. Palais, “Fiber Coupling using Graded-Index Lenses,” Appl. Opt. 19, 2011 (1980). [CrossRef] [PubMed]
  4. A. Nicia, “Lens Coupling in Fiber-Optic Devices: Efficiency Limits,” Appl. Opt. 20, 3136 (1981). [CrossRef] [PubMed]
  5. B. D. Metcalf, L. Jou, “Dual GRIN Lens Wavelength Multiplexer,” Appl. Opt. 22, 455 (1983). [CrossRef] [PubMed]
  6. E. G. Rawson, R. G. Murray, “Interferometric Measurement of Selfoc Dielectric Constant Coefficients to Sixth Order,” IEEE J. Quantum Electron. QE-9, 1114 (1973). [CrossRef]
  7. M. K. Maeda, J. Hamasaki, “Determining the Refractive Index Profile of a Lenslike Medium,” J. Opt. Soc. Am. 67, 1672 (1977). [CrossRef]
  8. I. Kitano, M. Toyama, H. Nishi, “Spherical Aberration of Gradient-Index Rod Lenses,” Appl. Opt. 22, 396 (1983). [CrossRef] [PubMed]
  9. T. Sakamoto, “GRIN Lens Profile Measurement by Ray Trace Analysis,” Appl. Opt. 22, 3064 (1983). [CrossRef] [PubMed]
  10. T. W. Cline, R. B. Jander, “Wave-Front Aberration Measurements on GRIN-Rod Lenses,” Appl. Opt. 21, 1035 (1982). [CrossRef] [PubMed]
  11. W. Streifer, K. B. Paxton, “Analytic Solution of Ray Equations in Cylindrically Inhomogeneous Guiding Media. 1: Meridional Rays,” Appl. Opt. 10, 769 (1971). [CrossRef] [PubMed]
  12. N. Yamamoto, K. Iga, “Evaluation of Gradient-Index Rod Lenses by Imaging,” Appl. Opt. 19, 1101 (1980). [CrossRef] [PubMed]
  13. T. Sakamoto, “Wave-Front Spherical Aberration Model of a GRIN-Rod Lens with Quadratic Index Profile,” Trans. IECE Jpn. J68-C, 87 (1985).
  14. T. Sakamoto, “Accuracy of Optical Path Lengths Computed with an Asymptotic Solution for a Meridional Ray Equation in GRIN-Rod Lenses,” Trans. IECE Jpn. J68-C, 519 (1985).

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