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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 27 — Sep. 20, 2009
  • pp: 5025–5034

Angle resolved Mueller polarimetry with a high numerical aperture and characterization of transparent biaxial samples

Bicher Haj Ibrahim, Sami Ben Hatit, and Antonello De Martino  »View Author Affiliations

Applied Optics, Vol. 48, Issue 27, pp. 5025-5034 (2009)

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We present a polarimetric instrument suitable for the simultaneous measurement of angle resolved normalized Mueller matrices for polar angles ranging from 0 ° to 60 ° and all azimuths. The polarimetric modulation and analysis are performed by means of an optimized polarization state generator and analyzer based on nematic liquid crystals. A high numerical aperture (0.95) microscope objective is used in double pass to illuminate the sample, with its rear focal plane imaged on a low noise CCD. This polarimeter can be used either in reflection, with the sample set in the objective front focal plane, or in transmission, for thin transparent samples. This latter configuration, which involves an additional spherical mirror with its center of curvature at the objective front focus, is described in detail. This instrument was used to accurately determine the directions of the optic axes and the angular dependence of the retardation of a biaxial polyethylene terephthalate (PET) plastic substrate in spite of the strong depolarization essentially due to the source 10 nm spectral width or the limitation in angular resolution due to the pixels distribution of the CCD combined with the sample large retardation.

© 2009 Optical Society of America

OCIS Codes
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.5410) Instrumentation, measurement, and metrology : Polarimetry

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: March 16, 2009
Revised Manuscript: July 14, 2009
Manuscript Accepted: August 13, 2009
Published: September 10, 2009

Bicher Haj Ibrahim, Sami Ben Hatit, and Antonello De Martino, "Angle resolved Mueller polarimetry with a high numerical aperture and characterization of transparent biaxial samples," Appl. Opt. 48, 5025-5034 (2009)

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  1. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light, 2nd ed., (North-Holland, 1986).
  2. R. A. Chipman, “Polarimetry,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, 1995), Chap. 22.
  3. M. Schubert and W. Dollase, “Generalized ellipsometry for biaxial absorbing materials: determination of crystal orientation and optical constants of Sb2S3,” Opt. Lett. 27, 2073-2075 (2002). [CrossRef]
  4. T. Novikova, A. De Martino, S. Ben Hatit, and B. Drévillon, “Application of Mueller polarimetry in conical diffraction for CD measurements in microelectronics,” Appl. Opt. 45, 3688-3697 (2006). [CrossRef] [PubMed]
  5. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, 2002).
  6. A. Beaudry, Y. Zhao, and R. Chipman, “Dielectric tensor measurement from a single Mueller matrix image,” J. Opt. Soc. Am. A 24, 814-824 (2007). [CrossRef]
  7. A. De Martino, S. Ben Hatit, and M. Foldyna, “Mueller polarimetry in the back focal plane,” Proc. SPIE 6518, 65180X (2007). [CrossRef]
  8. A. De Martino, Y.-K. Kim, E. Garcia-Caurel, B. Laude, and B. Drévillon, “Optimized Mueller polarimeter with liquid crystals,” Opt. Lett. 28, 616-618 (2003). [CrossRef] [PubMed]
  9. S. Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106-1113 (1996). [CrossRef]
  10. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley-Interscience, 2003).
  11. P. Yeh, Optical Waves in Layered Media (Wiley-Interscience, 2005).
  12. T. Scharf, Polarized Light in Liquid Crystals and Polymers (Wiley-Interscience, 2007).

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