Abstract

A novel, interferometric, polarization-interrogating filter assembly and method for the simultaneous measurement of all four Stokes parameters across a partially polarized irradiance image in a no-moving-parts, instantaneous, highly sensitive manner is described. In the reported embodiment of the filter, two spatially varying linear retarders and a linear polarizer comprise an ortho-Babinet, polarization-interrogating (OBPI) filter. The OBPI filter uniquely encodes the incident ensemble of electromagnetic wave fronts comprising a partially polarized irradiance image in a controlled, deterministic, spatially varying manner to map the complete state of polarization across the image to local variations in a superposed interference pattern. Experimental interferograms are reported along with a numerical simulation of the method.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. S. Hauge, Proc. SPIE 88, 3 (1976).
    [CrossRef]
  2. M. Francon and S. Mallick, Polarization Interferometers (Wiley, London, 1971).

1976 (1)

P. S. Hauge, Proc. SPIE 88, 3 (1976).
[CrossRef]

Francon, M.

M. Francon and S. Mallick, Polarization Interferometers (Wiley, London, 1971).

Hauge, P. S.

P. S. Hauge, Proc. SPIE 88, 3 (1976).
[CrossRef]

Mallick, S.

M. Francon and S. Mallick, Polarization Interferometers (Wiley, London, 1971).

Proc. SPIE (1)

P. S. Hauge, Proc. SPIE 88, 3 (1976).
[CrossRef]

Other (1)

M. Francon and S. Mallick, Polarization Interferometers (Wiley, London, 1971).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

OBPI filter. Each spatially varying linear retarder is composed of a modified Babinet compensator whose crystal axes are neither parallel nor perpendicular to the coplanar wedge planes.

Fig. 2
Fig. 2

Experimental interferograms generated by the OBPI filter of Fig. 1. Alongside each interference pattern is the associated incident Stokes vector. A 50µm scale bar is shown in the lower right-hand corner of each image.

Fig. 3
Fig. 3

Numerical simulation of the proposed reconstruction method for a partially polarized test image composed of six overlapping circular regions.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

Sx,y=MOBPIx,ySx,y,
MOBPIx,y=MLPθTA·MSVLR2θFA2,δ2x,y·MSVLR1θFA1,δ1x,y
S0x,y=MOBPIx,y11S0x,y+MOBPIx,y12S1x,y+MOBPIx,y13S2x,y+MOBPIx,y14S3x,y.
S0x,yijmn=1dxdypixijmnx,yS0x,ydxdy,
gijmn=Rp=14MOBPI1px,yfpx,yijmn.
gijmn=p=14hijmnpfˆijp,
hij111hij112hij113hij114hij121hij122hij123hij124hij211hij212hij213hij214hij221hij222hij223hij224=H11H12H13H14H21H22H23H24H31H32H33H34H41H42H43H44,
g=Hfˆ,
fˆ=H-1g.
Sijp-1=q=14H-1pqgq.

Metrics