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An ideal unpolarized light should have random instantaneous polarization states covering the entire Poincare sphere with equal probability. Light beams, which are otherwise known as unpolarized, do not always satisfy this criterion. Wolf’s definition of the degree of polarization cannot account for these differences. Hence, we define the degree of genuine unpolarization (DoGUP)—a metric that assigns a maximum value to the ideal unpolarization and dictates how far an unpolarized field is from the ideal case. To define the DoGUP, we introduce the polarization probability space (PPS) concept and illustrate using a two-mode Fock state.
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Sethuraj Karimparambil Raju, Nick Vamivakas, "The degree of genuine unpolarization," Proc. SPIE PC12690, Polarization Science and Remote Sensing XI, PC1269005 (5 October 2023); https://doi.org/10.1117/12.2676911