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Applied Optics

Applied Optics


  • Vol. 41, Iss. 25 — Sep. 1, 2002
  • pp: 5317–5325

Interferometric measurement of the refractive-index distribution in plastic lenses by use of computed tomography

Hiroyuki Suhara  »View Author Affiliations

Applied Optics, Vol. 41, Issue 25, pp. 5317-5325 (2002)

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A nondestructive measurement method that makes possible the measurement of a three-dimensional refractive-index distribution of any shape plastic lens is presented. In this method, a Mach–Zehnder interferometer and shearing interferometer are combined into a single optical system and are used selectively. Interference fringes of a test object that is immersed in matching liquid are detected at various rotation angles. And transmitted wave fronts are calculated with these interference fringes. Finally, the refractive-index distribution is obtained by computed tomography analysis. In addition, accurate control of the matching liquid temperature makes it possible to measure the absolute refractive index of the test object. This system has good performance with a measurement accuracy of 10-4 or better peak to valley.

© 2002 Optical Society of America

OCIS Codes
(110.6960) Imaging systems : Tomography
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(120.5710) Instrumentation, measurement, and metrology : Refraction

Original Manuscript: January 14, 2002
Revised Manuscript: May 6, 2002
Published: September 1, 2002

Hiroyuki Suhara, "Interferometric measurement of the refractive-index distribution in plastic lenses by use of computed tomography," Appl. Opt. 41, 5317-5325 (2002)

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  1. Y. Otani, T. Shimada, T. Yoshizawa, N. Umeda, “Two-dimensional birefringence measurement using the phase shifting technique,” Opt. Eng. 33, 1604–1609 (1994). [CrossRef]
  2. L. A. Gerasimova, “Interferometric measurement of the refractive-index gradient distribution in gradient-index optical blanks,” Appl. Opt. 35, 2997–3000 (1996). [CrossRef] [PubMed]
  3. J. Radon, “Über die bestimmung von funktionen durch ihre integralwerte längs gewisser mannigfaltigkeiten,” Ber. Verh. Saechs. Akad. Wiss. Leipzig Math. Phys. Kl. 69, 262–267 (1917).
  4. G. N. Hounsfield, “Computerized transverse axial scanning tomography: Part I. Description of system,” J. Radiol. 46, 1016–1022 (1973). [CrossRef]
  5. Y. Maruyama, K. Iwata, R. Nagata, “Measurement of refractive index distribution in the interior of a solid object from multi-directional interferograms,” Jpn. J. Appl. Phys. 16, 1171–1176 (1977). [CrossRef]
  6. H. Suhara, T. Nakase, “Refractive-index distributions interferometry in optical lenses using computed tomography,” in Japan Optics ’96 Annual Meeting (Optical Society of Japan, Tokyo, Japan), pp. 331–332 (in Japanese).
  7. H. Suhara, S. Itoh, T. Ueda, T. Ito, “Development of the refractive index measuring interferometer (RIMEI),” Ricoh Tech. Rep. 25 (Ricoh Co., Ltd., Tokyo, Japan, 1999), pp. 120–124, in Japanese.
  8. K. Hibino, B. F. Oreb, D. I. Farrant, K. G. Larkin, “Phase shifting for nonsinusoidal waveforms with phase-shift errors,” J. Opt. Soc. Am. A 12, 761–768 (1995). [CrossRef]
  9. D. J. Bone, “Fourier fringe analysis: the two-dimensional phase unwrapping problem,” Appl. Opt. 30, 3627–3632 (1991). [CrossRef] [PubMed]
  10. R. M. Goldstein, H. A. Zebker, C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988). [CrossRef]
  11. G. W. R. Leibbrandt, G. Harbers, P. J. Kunst, “Wave-front analysis with high accuracy by use of a double-grating lateral shearing interferometer,” Appl. Opt. 35, 6151–6161 (1996). [CrossRef] [PubMed]
  12. K. Iwata, H. Kikuta, “Measurement of dynamic flow field by optical computed tomography with shearing interferometers,” Opt. Rev. 7, 415–419 (2000). [CrossRef]
  13. L. A. Shepp, B. F. Logan, “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci. NS-21, 21–43 (1974). [CrossRef]

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