Resumen: Background: The spectral polarization state and dimensionality of random light are important concepts in modern optical physics and photonics. Methods: By use of space-frequency domain coherence theory, we establish a rigorous classification for the electricfield vector to oscillate in one, two, or three spatial dimensions. Results: We also introduce a new measure, the polarimetric dimension, to quantify the dimensional character of light. The formalism is utilized to show that polarized three-dimensional light does not exist, while an evanescent wave generated in total internal reflection generally is a genuine three-dimensional light field. Conclusions: The framework we construct advances the polarization theory of random light and it could be beneficial for near-field optics and polarization-sensitive applications involving complex-structured light fields. Idioma: Inglés DOI: 10.1186/s41476-017-0061-9 Año: 2017 Publicado en: Journal of the European Optical Society-Rapid Publications 13, 1 (2017), 36 [5 pp] ISSN: 1990-2573 Factor impacto JCR: 1.25 (2017) Categ. JCR: OPTICS rank: 64 / 94 = 0.681 (2017) - Q3 - T3 Factor impacto SCIMAGO: 0.42 - Atomic and Molecular Physics, and Optics (Q2)