Optimal beam splitters for the division-of-amplitude photopolarimeter
JOSA A, Vol. 20, Issue 5, pp. 955-958 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000955
Acrobat PDF (308 KB)
Abstract
Optimal optical parameters of the beam splitter that is used in the division-of-amplitude photopolarimeter are determined. These are (1) 50%–50% split ratio of the all-dielectric beam splitter, (2) differential phase shifts in reflection and transmission Δ_{r} and Δ_{t} that differ by ±π/2, and (3) ellipsometric parameters (ψ_{r}, ψ_{t})= (27.368°, 62.632°) or (62.632°, 27.368°). It is also shown that for any nonabsorbing beam splitter that splits incident unpolarized light equally, the relationship ψ_{r}+ψ_{t}=π/2 is always satisfied.
© 2003 Optical Society of America
OCIS Codes
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(230.1360) Optical devices : Beam splitters
(260.5430) Physical optics : Polarization
Citation
R. M. A. Azzam and A. De, "Optimal beam splitters for the division-of-amplitude photopolarimeter," J. Opt. Soc. Am. A 20, 955-958 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-5-955
Sort: Year | Journal | Reset
References
- R. M. A. Azzam, “Ellipsometry,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, New York, 1995), Vol. 2, Chap. 27.
- R. A. Chipman, “Polarimetry,” in Handbook of Optics, 2nd ed., M. Bass, ed. (McGraw-Hill, New York, 1995), Vol. 2, Chap. 22.
- P. S. Hauge, “Recent developments in instrumentation in ellipsometry,” Surf. Sci. 96, 108–140 (1980).
- 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).
- R. M. A. Azzam, “Beam splitters for the division-of-amplitude photopolarimeter,” Opt. Acta 32, 1407–1412 (1985).
- K. Brudzewski, “Static Stokes ellipsometer: general analysis,” J. Mod. Opt. 38, 889–896 (1991).
- 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).
- F. Delplancke, “Automated high-speed Mueller matrix scatterometer,” Appl. Opt. 36, 5388–5395 (1997).
- E. Compain and B. Drevillon, “Broadband division-of-amplitude polarimeter based on uncoated prisms,” Appl. Opt. 37, 5938–5946 (1998).
- 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).
- R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1987).
- For a thick uncoated dielectric slab BS, Δ_{r} and Δ_{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.
- According to Eq. (4), a given error δI in the measured signal vector I results in a corresponding error δS of the derived Stokes vector S, which is given by δS =A ^{−1} δI. Because A ^{−1} is proportional to 1/det A, maximization of |det A | is consistent with reduction of the error δS.
- Equation (13a) has an infinite number of solutions, and it is by convention11 that the ellipsometric angle ψ is confined to the first quadrant, 0≤ψ≤π/2.
- R. M. A. Azzam, “Arrangement of four photodetectors for measuring the state of polarization of light,” Opt. Lett. 10, 309–311 (1985).
- 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).
- 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).
- A second optimum value of ψ_{0} =62.63° was inadvertently missed in Eq. (26a) of Ref. 16.
- 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).
- J. S. Tyo, “Design of optimal polarimeters: maximization of signal-to-noise ratio and minimization of systematic error,” Appl. Opt. 41, 619–630 (2002).
- 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.
- 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.
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.
OSA is a member of CrossRef.