000128214 001__ 128214 000128214 005__ 20240319081029.0 000128214 0247_ $$2doi$$a10.1364/JOSAA.476423 000128214 0248_ $$2sideral$$a132590 000128214 037__ $$aART-2022-132590 000128214 041__ $$aeng 000128214 100__ $$aBhattacharya, A. 000128214 245__ $$aDual views of the generalized degree of purity 000128214 260__ $$c2022 000128214 5060_ $$aAccess copy available to the general public$$fUnrestricted 000128214 5203_ $$aSeveral approaches and descriptors have been proposed to characterize the purity of coherency or density matrices describing physical states, including the polarimetric purity of 2D and 3D partially polarized waves. This work introduces two interpretations of the degree of purity: one derived from statistics and another from algebra. In the first one, the degree purity is expressed in terms of the mean and standard deviation of the eigenvalue spectrum of the density or coherency matrix of the corresponding state. The second one expresses the purity in terms of two specific measures obtained by decomposing the coherency matrix as a sum of traceless symmetric, antisymmetric, and scalar matrices. We believe these two approaches offer better insights into the purity measure. Furthermore, interesting relations with existing quantities in polarization optics also are described. 000128214 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000128214 590__ $$a1.9$$b2022 000128214 591__ $$aOPTICS$$b68 / 99 = 0.687$$c2022$$dQ3$$eT3 000128214 592__ $$a0.535$$b2022 000128214 593__ $$aAtomic and Molecular Physics, and Optics$$c2022$$dQ2 000128214 593__ $$aMedicine (miscellaneous)$$c2022$$dQ2 000128214 593__ $$aElectronic, Optical and Magnetic Materials$$c2022$$dQ2 000128214 593__ $$aComputer Vision and Pattern Recognition$$c2022$$dQ2 000128214 594__ $$a4.0$$b2022 000128214 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000128214 700__ $$aDey, S. 000128214 700__ $$aFrery, A. C. 000128214 700__ $$0(orcid)0000-0003-1740-2244$$aGil, J. J.$$uUniversidad de Zaragoza 000128214 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada 000128214 773__ $$g39, 12 (2022), 2339-2342$$pJ. Opt. Soc. Am. A, Opt. image sci. vis.$$tJournal of the Optical Society of America. A, Optics, image science, and vision$$x1084-7529 000128214 8564_ $$s294782$$uhttps://zaguan.unizar.es/record/128214/files/texto_completo.pdf$$yPostprint 000128214 8564_ $$s432193$$uhttps://zaguan.unizar.es/record/128214/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000128214 909CO $$ooai:zaguan.unizar.es:128214$$particulos$$pdriver 000128214 951__ $$a2024-03-18-17:01:20 000128214 980__ $$aARTICLE