Fig. 3: Matrix factorization results. | Communications Physics

Fig. 3: Matrix factorization results.

From: Polarization behavior in a compositionally graded relaxor–ferroelectric crystal visualized by angle-resolved polarized Raman mapping

Fig. 3: Matrix factorization results.The alt text for this image may have been generated using AI.

a Multivariate curve resolution (MCR) concept for angle-resolved polarized Raman spectroscopy, where the number of components, k, was determined to be two in the monoclinic (type B, MB) phase by singular-value decomposition (SVD). The data consist of a 20 × 1024 matrix, which can be decomposed into a 20 × 2 matrix (two angle profiles, p1(θ) and p2(θ)) and a 2 × 1024 matrix (two base spectra, I1(ν) and I2(ν)). b Angle-resolved polarized Raman spectra at X = 5 mm and Y ~ 7 mm, shown as a contour plot colored by intensity. c MCR data showing that p1(θ) and p2(θ) are numbers representing the proportion of I1(ν) and I2(ν), respectively, in the spectra at each θ.

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