1 / 23

A new phase difference compensation method for elliptically birefringent media

A new phase difference compensation method for elliptically birefringent media. P iotr Kurzynowski, S ławomir Drobczyński Institute of Physics Wrocław University of Technology Poland. Scheme of presentation. The literature background Compensators for linearly birefringent media

ulani
Télécharger la présentation

A new phase difference compensation method for elliptically birefringent media

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. A new phase difference compensation method for elliptically birefringent media Piotr Kurzynowski, Sławomir Drobczyński Institute of Physics Wrocław University of Technology Poland

  2. Scheme of presentation • The literature background • Compensators for linearly birefringent media • Elliptically birefringent medium in the compensator setup • A phase plate eliminating the medium ellipticity • Numerical calculations • The measurement procedure • Experimental results • Conclusions

  3. The literature background • H.G. Jerrard, „Optical Compensators for Measurements of Elliptical Polarization”, JOSA, Vol.38 (1948) • H. De Senarmont, Ann. Chim. Phys.,Vol.73 (1840) • P. Kurzynowski, „Senarmont compensator for elliptically birefringent media”, Opt. Comm., Vol.171 (2000) • J. Kobayashi, Y. Uesu, „A New Method and Apparatus ‘HAUP’ for Measuring Simultaneously Optical Activity and Birefringence of Crystals. I. Principles and Constructions”, J.Appl. Cryst., Vol.16 (1983) • C.C. Montarou, T.K. Gaylord, „Two-wave-plate compensator for single-point retardation measurements”, Appl. Opt., Vol.43 (2004) • P.Kurzynowski, W.A. Woźniak, „Phase retardation measurement in simple and reverse Senarmont compensators without calibrated quarter wave plates”, Optik, Vol.113 (2002) • M.A. Geday, W. Kaminsky, J.G. Lewis, A.M. Glazer, „Images of absolute retardance using the rotating polarizer method”, J. of Micr., Vol.198 (2000)

  4. Direct compensators for linearly birefringent media A A=90 C=-45 x-variable M f=45 -unknown P P=0

  5. The phase shift compensation ideafor direct compensators • A rule: the total phase shift introduced by two media is equal to the difference phase shifts introduced by the medium M and the compensator C, because • Transversal compensators (e.g. the Wollastone one): for some x0 co-ordinate axis • Inclined compensators (e.g. the Ehringhause one): for some inclination angle 0

  6. Azimuthal compensators for linearly birefringent media A A-variable A0=90 /4 =0 M f=45  -unknown P P=0

  7. The phase shift compensation idea for azimuthal compensators • A rule: the quarterwave plate transforms the polarization state of the light after te medium M to the linearly one:

  8. Linearly birefringent medium in the compensator setup the Stokes vector V of the light after the medium M the light azimuth angle doesn’t change; the light ellipticity angle is equal to the half of the phase shift introduced by the medium M

  9. Elliptically birefringent medium in the compensator setup (1) the Stokes vectorVof the light after the medium M but This is a rotation matrix R(2f) !

  10. Elliptically birefringent medium in the compensator setup (2) hence so

  11. Elliptically birefringent medium in the compensator setup (3) • elimination of the f medium M ellipticity influence • the rotation matrix • the rotation matrix a linearly birefringent medium C with the azimuth angle =0° and introducing the phase shift  • so if the medium C is introduced in the setup, the light azimuth angle doesn’t change if only =2·f

  12. Proposed compensator setups • for direct compensators: • for azimuthal compensators:

  13. The direct compensation setup A A=90 C=-45 C-variable C=0 -variable M f=45 ,f unknown P P=0

  14. The azimuthal compensation setup A A-variable A0=90 /4 =0 C=0 -variable M f=45 ,f unknown P P=0

  15. The output light intensity distribution wherefor direct compensators or for azimuthal ones. generally where and

  16. Numerical calculations--the Wollastone compensator setup • The normalized intensity distribution for i =  - 2f 1= 0 <2<3

  17. Numerical calculations--the Wollastone compensator setup • The normalized intensity distribution for = - 2f0

  18. Numerical calculations--the Wollastone compensator setup • The normalized intensity distribution for  =  - 2f=0

  19. The measurement procedure • The direct compensators: • the ellipticity angle fmeasurement the inclined (for example Ehringhause one) compensator C action the fringe visibility maximizing  f b) the absolute phase shift  measurement two-wavelength or white-light analysis of the intensity light distribution at the setup output

  20. The Senarmont configuration • Two or one compensating plates? • A quarterwave plate action is from mathematically point of wiev a rotation matrix R(90°) • So symbolically • The new Senarmont setup configuration!

  21. Experimental results (1) 1 < 2 < 3

  22. Experimental results (2)

  23. Conclusions • Due to the compensating plate Capplication there is possibility to measure in compensators setups not only the phase shift introduced by the medium but also its ellipticity • The solution (,f) is univocal independently of medium azimuth angle f sign (±45°) indeterminity • A new (the last or latest?) Senarmont compensator setup has been presented

More Related