Work

Quantum-optical photonic analogies as a tool for free-space propagation of a Pearcey beam

Year: 2025

Type: article

Abstract: The theoretical and experimental generation of the Pearcey–Gaussian beam has inspired the study of a broader family of related beams, such as the circular Pearcey beam and, more recently, the abruptly dual auto-focusing circular Pearcey edge dislocation beam, which exhibits both abrupt dual auto-focusing and enhanced self-healing capabilities, paving the way for various applications such as optical communication, optical metrology, and optical tweezers. In this context, we present the analytical solution for the paraxial propagation of a finite-energy Pearcey beam using the S U ( 2 ) Lie group. This group-theoretical approach provides a robust and general framework for addressing propagation problems in optics and photonics. Although the Pearcey beam is a well-known example, this is, to our knowledge, the first time it has been analytically treated through this method.

Source: Results in Optics

DOI: 10.1016/j.rio.2025.100885

Authors: M.P. Chavez-Flores, J.A. Anaya-Contreras, A. Zúñiga-Segundo, H.M. Moya-Cessa

Institutions: Instituto Politécnico Nacional, National Institute of Astrophysics, Optics and Electronics

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: gold

Estimated APC paid: $1,470

Funders: Instituto Politécnico Nacional, Secretaría de Investigación y Posgrado, Instituto Politécnico Nacional