Docta Complutense

Open Access Institutional Repository of the Complutense University of Madrid, that compiles scientific production to promote the visibility and impact of Complutense research.

With the collaboration of the Ministerio de Ciencia e Innovación and the Spanish Foundation for Science and Technology (FECYT).

MINISTERIO DE CIENCIA E INNOVACIÓN-FECYT
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Recent Submissions

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The Polarizability Vector: A Polarimetric Observable for Characterizing Anisotropic Nanoparticles
(Laser & Photonics Reviews, 2025) Olmos Trigo, Jorge
The optical properties of anisotropic nanoparticles (NPs) are often characterized by two principal components of their polarizability tensor. However, measuring them can be demanding as the phase of the scattered field needs to be detected. To address this challenge, I reveal a novel observable, the polarizability vector, for characterizing the optical response of anisotropic NPs from a single-angle Stokes vector measurement. As I show, knowledge of grants access to pivotal nanophotonics quantities, including the scattering cross-section, optical recoil torque, and near-field amplitude. I further generalize the approach to randomly dispersed NPs, showing that, though defined at the single-particle level, fully captures their optical response. My findings pave the way for the optical characterization of anisotropic NPs using standard polarimetric instrumentation.
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Spectral maps associated to semialgebraic branched coverings
(Revista Matemática Complutense, 2021) Baro González, Elías; Fernando Galván, José Francisco; Gamboa Mutuberria, José Manuel
In this article we prove that a semialgebraic map from M to N is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a neat behavior with respect to the branching locus, the ramification set and the ramification index. A crucial fact to prove the preceding result is the characterization of the prime ideals whose fibers under the previous spectral map are singletons.

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