Generalized Jones Calculus for Vortex, Vector, and Vortex-Vector Beam Transformations

Wen-Hsuan Kuan^1*, Kuei-Huei Lin¹

¹Department of Applied Physics and Chemistry, University of Taipei, Taipei, Taiwan

* Presenter:Wen-Hsuan Kuan, email:wenhsuan.kuan@gmail.com

The work defines the general form of the Jones vector and establishes the Jones matrix for polarizers, wave plates, Faraday rotators, Q-plates, and spiral phase plates. Then we establish the generalized Jones calculus for vortex, vector, and vortex-vector beam transformations. The systematic formalism presents the theoretical arrangements in manipulating the phase and polarization of the structured lights.

Keywords: Optical vortex, Vector beam, Jones calculus, Matrix optics, Beam transformation