arXiv subjects

Dayver Daza-Salgado

Publications and source records attributed to Dayver Daza-Salgado.

3 recordsLinked to original sources

arXiv2026

Non-orthogonal Transformations of Structured Light Using Ellipticity-Dependent Ince-Gaussian Modes

The Ince-Gaussian modes form a complete set of solutions to the paraxial wave equation parametrized by an ellipticity parameter ε, enabling a continuous transition between Laguerre-Gaussian and Hermite-Gaussian modes While each fixed ε defines an orthogonal basis, modes associated with different ellipticities are not mutually orthogonal, and no explicit transformation between such bases has been reported. Here, we derive the first explicit finite analytical expression to transformation between Ince-Gaussian bases of arbitrary ellipticity, enabling direct and experimentally accessible mapping between non-orthogonal structured-light representations. We further demonstrate an experimental implementation using spatial light modulators to perform ellipticity-resolved modal decomposition. This framework introduces ellipticity as a controllable degree of freedom for structured light engineering, enabling new strategiesfor mode conversion, encoding, and high-dimensional optical information processing.

physics.optics↗

arXiv2025

A Higher-Order Poincaré Ellipsoid representation for elliptical vector beams

The Higher-Order Poincaré Sphere (HOPS) provides a powerful geometrical tool for representing vector beams as points on the surface of a unitary sphere. Since a particular position on the surface represents any spatial mode regardless of its shape, this representation cannot be used to discern between the spatial modes geometries of vector modes. For instance, Laguerre- and Ince-Gauss vector beams are ambiguously represented using the same unitary sphere, even though their spatial profiles are circular and elliptical, respectively. As such, in this manuscript, we propose a generalisation of the HOPS that we call the Higher-Order Poincaré Ellipsoid (HOPE). Our approach allows an unambiguous representation of helical Ince-Gauss vector modes of ellipticity $\varepsilon$ onto the surface of an ellipsoid of eccentricity $\bf e$, providing a unique way to visualise elliptically-shaped vector modes. We provide a transformation that links the ellipticity $\varepsilon$ of helical Ince-Gauss vector modes to the eccentricity $\bf e$ of an ellipsoid, such that the HOPS is recovered for $\varepsilon=0$. Since this representation preserves the Stokes parameters formalism, the transition from the HOPS to the HOPE is straightforward, thus making its implementation appealing for the structured light community. We anticipate the concepts outlined here will pave the path toward the representation of structured light beams' properties using other geometrical objects.

physics.optics↗

arXiv2023

Generation of super-stable vector modes using on-axis complex-amplitude modulation

In this manuscript, we propose the generation of complex vector beams with high quality and stability based on a novel approach that relies on the combination of two techniques that seem incompatible at first glance. The first is Complex Amplitude Modulation (CAM), which produces scalar structured light fields in phase and amplitude with high accuracy. The second is on-axis modulation for the generation of vector beams, a method that requires phase-only holograms, therefore yielding beams of reduced quality. More precisely, the idea behind our technique is to send the shaped light produced by CAM co-axially to the zeroth order, rather than to the first order, as commonly done. We describe our technique, explaining the generation of the hologram and experimental setup to isolate the desired vector mode, and then present experimental results that corroborate our approach. We first address the quality of the generated beams using Stokes polarimetry to reconstruct their transverse polarisation distribution, and then compare their stability against the same mode produced using a popular interferometric method. Our vector beams are of good quality and remarkably stable, two qualities that we expect will appeal to the community working with vector modes.

physics.optics↗