Generation of arbitrary full Poincar\'{e} beams on the hybrid-order Poincar\'{e} sphere

TL;DR

This paper introduces a method to generate and describe arbitrary full Poincaré beams using a hybrid-order Poincaré sphere and a Sagnac interferometer, enabling precise polarization control for advanced optical applications.

Contribution

It presents a novel pictorial representation of full Poincaré beams on a hybrid-order Poincaré sphere and demonstrates an efficient interferometric setup for their generation.

Findings

Successful generation of arbitrary full Poincaré beams.

Effective polarization manipulation using the proposed method.

Potential applications in advanced light polarization control.

Abstract

We propose that the full Poincar\'{e} beam with any polarization geometries can be pictorially described by the hybrid-order Poincar\'{e} sphere whose eigenstates are defined as a fundamental-mode Gaussian beam and a Laguerre-Gauss beam. A robust and efficient Sagnac interferometer is established to generate any desired full Poincar\'{e} beam on the hybrid-order Poincar\'{e} sphere, via modulating the incident state of polarization. Our research may provide an alternative way for describing the full Poincar\'{e} beam and an effective method to manipulate the polarization of light.