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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 18 — Aug. 31, 2009
  • pp: 15860–15884

Measurement of linear birefringence and diattenuation properties of optical samples using polarimeter and Stokes parameters

Po-Chun Chen, Yu-Lung Lo, Tsung-Chih Yu, Jing-Fung Lin, and Tsung-Tse Yang  »View Author Affiliations

Optics Express, Vol. 17, Issue 18, pp. 15860-15884 (2009)

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A technique is proposed for measuring the linear birefringence and linear diattenuation of an optical sample using a polarimeter. In the proposed approach, the principal axis angle (α), phase retardance (β), diattenuation axis angle (θ d ), and diattenuation (D) are derived using an analytical model based on the Mueller matrix formulation and the Stokes parameters. The dynamic measurement ranges of the four parameters are shown to be α = 0~180°, β = 0~180°, θ d = 0~180°, and D = 0~1, respectively. Thus, full-range measurements are possible for all parameters other than β. In this study, the proposed methodology does not require the principal birefringence axes and diattenuation axes to be aligned. In addition, the linear birefringence and linear diattenuation properties are decoupled within the analytical model, and thus the birefringence properties of the sample can be solved directly without any prior knowledge of the diattenuation parameters. Also, the characteristic parameters in the baked polarizer with linear birefringence are successfully extracted from an optically equivalent model and proved by the respective simulation and experiment introduced in this study.

© 2009 OSA

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(160.4760) Materials : Optical properties

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: May 27, 2009
Revised Manuscript: August 15, 2009
Manuscript Accepted: August 17, 2009
Published: August 21, 2009

Po-Chun Chen, Yu-Lung Lo, Tsung-Chih Yu, Jing-Fung Lin, and Tsung-Tse Yang, "Measurement of linear birefringence and diattenuation properties of optical samples using polarimeter and Stokes parameters," Opt. Express 17, 15860-15884 (2009)

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  1. R. A. Chipman, “Polarization analysis of optical systems,” Opt. Eng. 28, 90–99 (1989).
  2. J. P. McGuire, Jr., “Image formation and analysis in optical systems with polarization aberrations,” Ph.D. thesis, University of Alabama in Huntsville, (1990).
  3. R. A. Chipman, Handbook of Optics (McGraw-Hill, 1995), Vol. 2, Chap. 22.
  4. D. B. Chenault and R. A. Chipman, ““Linear diattenuation and retardation measurements in an ir-spectropolarimeter,” Polarimetry: Radar, Infrared, Visible, Ultraviolet, And X-Ray 1317, 263–278 (1990).
  5. D. B. Chenault and R. A. Chipman, “Infrared birefringence spectra for cadmium-sulfide and cadmium selenide,” Opt. Lett. 17, 4223–4227 (1992).
  6. D. B. Chenault and R. A. Chipman, “Measurements of linear diattenuation and linear retardation spectra with a rotating sample spectropolarimeter,” Appl. Opt. 32(19), 3513–3519 (1993). [CrossRef] [PubMed]
  7. J. M. Bueno and P. Artal, “Diattenuation of the human eye at the fovea,” Invest. Ophthalmol. Vis. Sci. 46, ••• (2005).
  8. J. M. Bueno and P. Artal, “Average double-pass ocular diattenuation using foveal fixation,” J. Mod. Opt. 55(4), 849–859 (2008). [CrossRef]
  9. M. Todorović, S. L. Jiao, L. V. Wang, and G. Stoica, “Determination of local polarization properties of biological samples in the presence of diattenuation by use of Mueller optical coherence tomography,” Opt. Lett. 29(20), 2402–2404 (2004). [CrossRef] [PubMed]
  10. X. R. Huang and R. W. Knighton, “Diattenuation and polarization preservation of retinal nerve fiber layer reflectance,” Appl. Opt. 42(28), 5737–5743 (2003). [CrossRef] [PubMed]
  11. D. A. Higgins, D. A. VandenBout, J. Kerimo, and P. F. Barbara, “Polarization-modulation near-field scanning optical microscopy of mesostructured materials,” J. Phys. Chem. 100(32), 13794–13803 (1996). [CrossRef]
  12. A. L. Campillo and J. W. P. Hsu, “Near-field scanning optical microscope studies of the anisotropic stress variations in patterned SiN membranes,” J. Appl. Phys. 91(2), 646–651 (2002). [CrossRef]
  13. M. J. Fasolka, L. S. Goldner, J. Hwang, A. M. Urbas, P. DeRege, T. Swager, and E. L. Thomas, “Measuring local optical properties: near-field polarimetry of photonic block copolymer morphology,” Phys. Rev. Lett. 90(1), 016107 (2003). [CrossRef] [PubMed]
  14. L. S. Goldner, M. J. Fasolka, S. Nougier, H. P. Nguyen, G. W. Bryant, J. Hwang, K. D. Weston, K. L. Beers, A. Urbas, and E. L. Thomas, “Fourier analysis near-field polarimetry for measurement of local optical properties of thin films,” Appl. Opt. 42(19), 3864–3881 (2003). [CrossRef] [PubMed]
  15. L. S. Goldner, M. J. Fasolka, and S. N. Goldie, “Measurement of the local diattenuation and retardance of thin polymer films using near-field polarimetry,” Applications of Scanned Probe Microscopy to Polymers 897, 65–84 (2005). [CrossRef]
  16. L. S. Goldner, S. N. Goldie, M. J. Fasolka, F. Renaldo, J. Hwang, and J. F. Douglas, “Near-field polarimetric characterization of polymer crystallites,” Appl. Phys. Lett. 85(8), 1338–1340 (2004). [CrossRef]
  17. L. S. Srinath and A. V. S. S. S. R. Sarma, “Determination of the optically equivalent model in three-dimensional photoelasticity,” Exp. Mech. 14(3), 118–122 (1974). [CrossRef]
  18. R. A. Tomlinson and E. A. Patterson, “The use of phase-stepping for the measurement of characteristic parameters in integrated photoelasticity,” Exp. Mech. 42(1), 43–50 (2002). [CrossRef]
  19. H. Hurwitz and R. C. Jones, “A new calculus for the treatment of optical systems-II: proof of three general equivalent theorems,” J. Opt. Soc. Am. 31, 493–499 (1941).
  20. S. T. Tang and H. S. Kwok, “Characteristic parameters of liquid crystal cells and their measurements,” J. Disp. Techno. 2(1), 26–31 (2006). [CrossRef]
  21. http://www.meadowlark.com
  22. I. C. Khoo, and F. Simoni, Physics of Liquid Crystalline Materials (Gorden and Breach Science Publishers, 1991), Chap. 13.
  23. H. Dong, Y. D. Gong, V. Paulose, P. Shum, and M. Olivo, “Effect of input states of polarization on the measurement error of Mueller matrix in a system having small polarization-dependent loss or gain,” Opt. Express 17(15), 13017–13028 (2009). [CrossRef] [PubMed]
  24. L. Giudicotti and M. Brombin, “Data analysis for a rotating quarter-wave, far-infrared Stokes polarimeter,” Appl. Opt. 46(14), 2638–2648 (2007). [CrossRef] [PubMed]

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