OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 38, Iss. 11 — Apr. 10, 1999
  • pp: 2216–2224

Two-dimensional measurement technique for birefringence vector distributions: data processing and experimental verification

Yongchang Zhu, Takehiro Koyama, Tatsuo Takada, Yoshihiro Murooka, and Toshihisa Otsuka  »View Author Affiliations

Applied Optics, Vol. 38, Issue 11, pp. 2216-2224 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (1470 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A two-dimensional measurement method for a birefringence vector distribution differs from a point-measurement method not only in the two-dimensional system nonuniformity but also in the system reliability. The previously proposed intrinsic vector allowed for the elimination of the influence of the system nonuniformity, whereas the two-dimensional system reliability is ensured by both an online diagnosis technique and an image lock-in processing. It is revealed that the measured intrinsic vector is relevant not only with the birefringence vector distribution in a sample but also with the natural birefringence vector distributions that exist in the optic components. The complete solution from the measured intrinsic vector results in a bidirectional vector for the desired birefringence vector distribution. The correctness of the two-dimensional measurement principle is examined by means of a comparison of the measured data with that calculated from a finite-element analysis based on the photoelastic effect.

© 1999 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(260.1440) Physical optics : Birefringence

Original Manuscript: June 5, 1998
Revised Manuscript: December 1, 1998
Published: April 10, 1999

Yongchang Zhu, Takehiro Koyama, Tatsuo Takada, Yoshihiro Murooka, and Toshihisa Otsuka, "Two-dimensional measurement technique for birefringence vector distributions: data processing and experimental verification," Appl. Opt. 38, 2216-2224 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y. C. Zhu, T. Koyama, T. Takada, Y. Murooka, “Two-dimensional measurement technique for birefringence vector distributions: measurement principle,” Appl. Opt. 38, 2225–2231 (1999). [CrossRef]
  2. Y. C. Zhu, T. Takada, D. M. Tu, “An optical measurement technique for studying residual surface charge distribution,” J. Phys. D 28, 1468–1477 (1995). [CrossRef]
  3. A. Kumada, M. Chiba, K. Hidaka, “Potential distribution measurement of surface discharge by using Pockels effect,” in Proceedings of the 12th International Conference on Gas Discharges and Their Applications, G. Babucke, ed., (KIEBU Druck Gmbh, Greifswald, Germany, 1997), pp. 264–267.
  4. Y. C. Zhu, T. Takada, Y. Inoue, D. M. Tu, “Dynamic observation of needle-plane surface discharge using the electro-optical Pockels effect,” IEEE Trans. Dielectr. Electr. Insul. 3, 460–468 (1996). [CrossRef]
  5. Y. C. Zhu, T. Takada, “A 2-dimensional Kerr-effect technique for electric field distribution in liquid dielectrics,” IEEE Trans. Dielectr. Electr. Insul. 4, 748–757 (1997). [CrossRef]
  6. T. Maeno, A. Nishikata, T. Itabe, N. Hiromoto, T. Takada, “Two-dimensional lock-in amplifier system: a new technique for improving the depth resolution in microscope imaging,” Trans. IEE Jpn. 112-C, 474–479 (1992).
  7. M. Zahn, T. Takada, S. Voldman, “Kerr electro-optic field mapping measurement in water using parallel cylindrical electrodes,” J. Appl. Phys. 54, 4749–4761 (1983). [CrossRef]
  8. U. Gafvert, A. Jaksts, C. Tornkvist, L. Walfridsson, “Electrical field distribution in transformer oil,” IEEE Trans. Electr. Insul. 27, 647–660 (1992). [CrossRef]
  9. R. Liu, A. Satoh, T. Kawasaki, K. Tanaka, T. Takada, “High-sensitive Kerr-effect technique for determination of 2-dimensional electric fields,” IEEE Trans. Electr. Insul. 27, 245–254 (1992). [CrossRef]
  10. K. Tanaka, T. Takada, “Measurement of the 2-dimensional electric field vector in dielectric liquid,” IEEE Trans. Dielectr. Electr. Insul. 1, 747–753 (1994). [CrossRef]
  11. R. Shimizu, M. Matsuka, K. Kato, N. Hayakawa, M. Hikita, H. Okubo, “Three-dimensional electric field vector measurements in transformer oil using Kerr effect,” , (Institute of Electrical Engineering of Japan, Tokyo, 1994), pp. 77–85.
  12. H. Sato, M. Yamaguchi, A. Yoshimoto, T. Takada, “High sensitive measurement system of birefringence using optical phase modulator and two Faraday rotators,” Jpn. J. Soc. Mater. Eng. Res. 4, 22–34 (1991). [CrossRef]
  13. Y. Otani, T. Shimada, T. Yoshizawa, N. Umeda, “Two-dimensional birefringence measurement using the phase shifting technique,” Opt. Eng. 33, 1604–1609 (1994). [CrossRef]
  14. J. W. Dally, W. F. Riley, “Theory of photo-elasticity,” in Experimental Stress Analysis (McGraw-Hill, New York, 1978), pp. 406–446.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited