Work

Geometric phases and holonomy in structured optical fields—a tutorial

Year: 2026

Type: article

Abstract: Geometric phases are widely used in modern optics, yet their meaning and underlying geometry depend on the actual physical settings, which can substantially differ from one another. This tutorial article introduces geometric phases in nanophotonic systems, focusing on the interaction of structured light with nanostructures or metaatoms. We compare the present setting with conventional geometric phases of structured-light optics and show that similar phase laws may correspond to genuinely different underlying geometries. Our aim is to provide a pedagogical bridge between the mathematical language of geometric phases and experimentally relevant examples from nanophotonics.

Source: Journal of Optics

DOI: 10.1088/2040-8986/aeb619

Authors: Kristina Frizyuk, Evgenii Menshikov, Mauro Spera

Institutions: Karlsruhe Institute of Technology, University of Brescia, Università Cattolica del Sacro Cuore

Language: English

Topic: Orbital Angular Momentum in Optics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: Alexander von Humboldt-Stiftung, Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Brescia, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni