Optimal beam splitters for the division-of-amplitude photopolarimeter

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 20, Issue 5, 2003, Pages 955-958

  Azzam, R M A ^a   De, A ^a  

^a UNO College of Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; LIGHT POLARIZATION; LIGHT REFLECTION; LIGHT SCATTERING; LIGHT TRANSMISSION; OPTIMIZATION; PARAMETER ESTIMATION; PHASE SHIFT; POLARIMETERS;

PHOTOPOLARIMETERS;

OPTICAL BEAM SPLITTERS;

EID: 0041573179     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.20.000955     Document Type: Article

References (22)

1. R. M. A. Azzam, "Ellipsometry," in Handbook of Optics, 2nd ed., M, Bass, ed. (McGraw-Hill, New York, 1995), Vol. 2, Chap. 27.
2. R. A. Chipman, "Polarimetry," in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, New York, 1995), Vol. 2, Chap. 22.
3. P. S. Hauge, "Recent developments in instrumentation in ellipsometry," Surf. Sci. 96, 108-140 (1980).
4. R. M. A. Azzam, "Division-of-amplitude photopolarimeter (DOAP) for the simultaneous measurement of all four Stokes parameters of light," Opt. Acta 29, 685-689 (1982).
5. R. M. A. Azzam, "Beam splitters for the division-of-amplitude photopolarimeter," Opt. Acta 32, 1407-1412 (1985).
6. K. Brudzewski, "Static Stokes ellipsometer: general analysis," J. Mod. Opt. 38, 889-896 (1991).
7. S. Krishnan, "Calibration, properties, and applications of the division-of-amplitude photopolarimeter at 632.8 and 1523 nm," J. Opt. Soc. Am. A 9, 1615-1622 (1992).
8. F. Delplancke, "Automated high-speed Mueller matrix scatterometer,"Appl. Opt. 36, 5388-5395 (1997).
9. E. Compain and B. Drevillon, "Broadband division-of-amplitude polarimeter based on uncoated prisms," Appl. Opt. 37, 5938-5946 (1998).
10. R. M. A. Azzam, "Mueller-matrix ellipsometry: a review," in Polarization: Measurement, Analysis, and Remote Sensing, D. H. Goldstein and R. A. Chipman, eds., Proc. SPIE 3121, 396-405 (1997).
11. R, M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1987).
12. t assume the trivial values of 0 or ± π, and condition (6c) is violated; hence det A = 0. Therefore thin-film coatings are required for the BS of DOAP.
13. -1 is proportional to 1/det A, maximization of |det A| is consistent with reduction of the error δS.
14. 11 that the ellipsometric angle ψ confined to the first quadrant, 0 ≤ ψ ≤ π/2.
15. R. M. A. Azzam, "Arrangement of four photodetectors for measuring the state of polarization of light," Opt. Lett. 10, 309-311 (1985).
16. R. M. A. Azzam, I. M. Elminyawi, and A. M. El-Saba, "General analysis and optimization of the four-detector photopolarimeter," J. Opt. Soc. Am. A 5, 681-689 (1988).
17. R. M. A. Azzam, E. Masetti, I. M. Elminyawi, and F. B. Grosz, "Construction, calibration, and testing of a four-detector photopolarimeter," Rev. Sci. Instrum. 59, 84-88 (1988).
18. 0 = 62.63° was inadvertently missed in Eq. (26a) of Ref. 16.
19. D. S. Sabatke, M. R. Descour, E. Dereniak, W. C. Sweatt, S. A. Kemme, and G. S. Phipps, "Optimization of retardance for a complete Stokes polarimeter," Opt. Lett. 25, 802-804 (2000).
20. J. S. Tyo, "Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error," Appl. Opt. 41, 619-630 (2002).
21. Since the determinant of the instrument matrix appears in the denominator of various condition numbers, it is not surprising that the criterion of the maximum determinant approximately corresponds to the minimum condition number.
22. A. De and R. M. A. Azzam, "Optimal coated silicon membrane beam splitters for the division-of-amplitude photopolarimeter (DOAP)," presented at the Annual Meeting of the Optical Society of America, Orlando, Florida, September 29-October 3, 2002, paper WZ3.