Analysis of channeled spectropolarimetry using singular value decomposition

Derek S. Sabatke; Ann M. Locke; Michael R. Descour; Eustace L. Dereniak; John Phillips Garcia; Thomas K. Hamilton; Robert W. McMillan

doi:10.1117/12.452875

9 January 2002 Analysis of channeled spectropolarimetry using singular value decomposition

Derek S. Sabatke, Ann M. Locke, Michael R. Descour, Eustace L. Dereniak, John Phillips Garcia, Thomas K. Hamilton, Robert W. McMillan

Author Affiliations +

Proceedings Volume 4481, Polarization Analysis and Measurement IV; (2002) https://doi.org/10.1117/12.452875
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

Channeled spectropolarimetry is a technique for measuring the spectral dependence of the polarization state of light. Passive polarization optics are used to encode the spectral dependence of the four Stokes components s_k into a single irradiance spectrum. We treat the technique as a linear operator and compute its singular value decomposition numerically. The resulting singular functions divide into three distinct groups representing s₀, s₁ and mixtures of s₂ and s₃. The corresponding singular values indicate that measurements of the latter two groups will have signal-to-noise ratios reduced form that of s₀ by factors of 0.6 and 0.4 respectively. The structure of the singular vectors is in agreement with a separate estimate of the system's resolution.

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Derek S. Sabatke, Ann M. Locke, Michael R. Descour, Eustace L. Dereniak, John Phillips Garcia, Thomas K. Hamilton, and Robert W. McMillan "Analysis of channeled spectropolarimetry using singular value decomposition", Proc. SPIE 4481, Polarization Analysis and Measurement IV, (9 January 2002); https://doi.org/10.1117/12.452875

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