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Journal of the Optical Society of Korea

Journal of the Optical Society of Korea


  • Vol. 13, Iss. 4 — Dec. 25, 2009
  • pp: 468–471

Nondestructive Optical Measurement of Refractive-index Profile of Graded-index Lenses

Byoung-Hwak Lee, Nae-Ho Shin, Kwan Jeong, Myoung-Jin Park, Byung-Gyu Kim, Jang-Hoon Yoo, Dae-Geun Kim, Ki-Hyuck Yun, Kew-Seung Lee, Kyung-Hwan Kim, Dae-Kyu Kim, and Seung-Han Park  »View Author Affiliations

Journal of the Optical Society of Korea, Vol. 13, Issue 4, pp. 468-471 (2009)

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We propose a simple nondestructive method to obtain refractive-index profiles of a graded-index (GRIN) light-focusing rod by means of a diffraction grating. In our proposed method, a laser beam is illuminated through a diffraction grating perpendicular to the axis of the GRIN lens and the separation between the zeroth and first-order diffraction peaks is measured and analyzed. The results demonstrate that the refractive-index profiles of commercially available GRIN lenses can be successfully reconstructed.

© 2009 Optical Society of Korea

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(060.2300) Fiber optics and optical communications : Fiber measurements
(110.2760) Imaging systems : Gradient-index lenses
(290.3030) Scattering : Index measurements

Original Manuscript: May 25, 2009
Revised Manuscript: September 25, 2009
Manuscript Accepted: September 25, 2009
Published: December 25, 2009

Byoung-Hwak Lee, Nae-Ho Shin, Kwan Jeong, Myoung-Jin Park, Byung-Gyu Kim, Jang-Hoon Yoo, Dae-Geun Kim, Ki-Hyuck Yun, Kew-Seung Lee, Kyung-Hwan Kim, Dae-Kyu Kim, and Seung-Han Park, "Nondestructive Optical Measurement of Refractive-index Profile of Graded-index Lenses," J. Opt. Soc. Korea 13, 468-471 (2009)

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  1. C. G. Reino, M. V. Perez, and C. Bao, Gradient-index Optics (Springer, Berlin, Germany, 2002).
  2. D. T. Moore, “Gradient-index optics: a review,” Appl. Opt. 19, 1035-1038 (1980). [CrossRef]
  3. Y. Koike, Y. Takezawa, and Y. Ohtsuka, “New interfacialgel copolymerization technique for steric GRIN polymer optical waveguides and lens arrays,” Appl. Opt. 27, 486-491 (1988). [CrossRef]
  4. C. Ye and R. R. McLeod, “GRIN lens and lens array fabrication with diffusion-driven photopolymer,” Opt. Lett. 33, 2575-2577 (2008). [CrossRef]
  5. H. Kobayashi and T. Horiuchi, “Novel projection exposure system using gradient-index lens array,” Jpn. J. Appl. Phys. 47, 5702-5707 (2008). [CrossRef]
  6. F. Okano, M. Kobayashi, J. Arai, and M. Okui, “Depth control GRIN lens array for integral photography,” Proc. SPIE 5243, 30-41 (2003). [CrossRef]
  7. S. Janz, B. Lamontagne, A. Delage, A. Bogdanov, D. X. Xu, and K. P. Yap, “Single layer a-Si GRIN waveguide coupler with lithographically defined facets,” in Proc. 2nd IEEE International Conference on Group IV Photonics (Antwerp, Belgium, Sep. 2005), pp. 129-131. [CrossRef]
  8. S. Rios, R. Srivastava, and C. G. Reino, “Coupling of single-mode fibers to single-mode GRIN waveguides by butt-joining,” Opt. Comm. 119, 517-522 (1995). [CrossRef]
  9. S. C. J. Lee, F. Breyer, S. Randel, B. Spinnler, I. L. L. Polo, D. van den Borne, J. Zeng, H. P. A. van den Boom, and A. M. J. Koonen, “Performance of maximum likelihood sequence estimation in 10 Gb/s transmission systems with polymer optical fiber,” in Proc. Symposium IEEE/LEOS Benelux Chapter (Eindhoven, Netherlands, Nov. 2006), pp. 17-19.
  10. I. T. Monroy, H. P. A. vd Boom, A. M. J. Koonen, G. D. Khoe, Y. Watanabe, Y. Koike, and T. Ishigure, “Data transmission over polymer optical fibers,” Optical Fiber Technology 9, 159-171 (2003). [CrossRef]
  11. D. G. Kim, S. Y. Woo, D. K. Kim, T. Y. Hwang, D. Y. Kim, and S.-H. Park, “Generation of 1.5 Gbps pseudo-random binary sequence optical signals by using a gain switched Fabry-Perot semiconductor laser,” J. Opt. Soc. Korea 9, 103-106 (2005). [CrossRef]
  12. W. C. Chen, Y. Chang, and J. P. Hsu, “Theoretical analysis on a multilayer coextrusion process for preparing gradient-index polymer optical fibers,” J. Phys. Chem. B 103, 7584-7590 (1999). [CrossRef]
  13. P. L. Chu, “Nondestructive measurement of index profile of an optical-fibre preform,” Electron. Lett. 13, 736-738 (1977). [CrossRef]
  14. L. S. Watkins, “Laser beam refraction transversely through a graded-index preform to determine refractive-index ratio and gradient profile,” Appl. Opt. 18, 2214-2222 (1979). [CrossRef]
  15. H. H. Lim, M. S. Kwon, H. J. Choi, B. J. Kim, and M. Cha, “Measurement of refractive index of solid medium by critical angle method when air gap is present,” J. Opt. Soc. Korea 12, 210-214 (2008). [CrossRef]
  16. W. E. Martin, “Refractive index profile measurements of diffused optical waveguides,” Appl. Opt. 13, 2112-2116 (1974). [CrossRef]
  17. J. Stone and R. M. Derosier, “Elimination of errors due to sample polishing in refractive index profile measurements by interferometry,” Rev. Sci. Instru. 47, 885-887 (1976). [CrossRef]
  18. M. E. Marhic, P. S. Ho, and M. Epstein, “Nondestructive refractive-index profile measurements of clad optical fibers,” Appl. Phys. Lett. 26, 574-575 (1975). [CrossRef]
  19. M. J. Saunders and W. B. Gardner, “Nondestructive interferometric measurement of the delta and alpha of clad optical fibers,” Appl. Opt. 16, 2368-2371 (1977). [CrossRef]
  20. Y. Ohtsuka and Y. Shimizu, “Radial distribution of the refractive index in light-focusing rods: determination using interphako interference microscopy,” Appl. Opt. 16, 1050-1053 (1979). [CrossRef]
  21. Y. Kokubun and K. Iga, “Refractive-index profile measurement of preform rods by a transverse differential interferograms,” Appl. Opt. 19, 846-851 (1980). [CrossRef]
  22. K. S. R. Krishna and A. Sharma, “Chromatic aberrations of radial gradient-index lenses. II. Selfoc lenses,” Appl. Opt. 35, 1037-1040 (1996). [CrossRef]
  23. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill Book Co., Singapore, 1996), Chapter 4.
  24. F. G. Smith, T. A. King, and D. Wilkins, Optics and Photonics (John Wiley & Sons, Ltd., West Sussex, UK, 2007), Chapter 2.
  25. S. P. Morgan, “General solution of the Luneberg lens problem,” J. Appl. Phys. 29, 1358-1368 (1958). [CrossRef]
  26. Gradient-index lenses, “Gradient-index lenses, antireflection coated, for $\lambda$ = 632.8nm,” (Product number, 06 LGD 111), http://www.mellesgriot.com/pdf/0015.16-15.20.pdf.

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