Ray transfer matrix for a spiral phase plate
M. Eggleston, T. Godat, E. Munro, M. A. Alonso, H. Shi, M., Bhattacharya

TL;DR
This paper introduces a ray transfer matrix for spiral phase plates, enabling analysis of optical resonator stability and ray trajectories, with applications in laser physics, micromanipulation, quantum info, and optomechanics.
Contribution
The paper develops a novel ray transfer matrix specifically for spiral phase plates, facilitating stability analysis and ray tracing in optical systems.
Findings
Determined stability conditions for resonators with spiral phase plates
Mapped stable ray orbits within the resonator
Potential applications in various optical technologies
Abstract
We present a ray transfer matrix for a spiral phase plate. Using this matrix, we determine the stability of an optical resonator made of two spiral phase plates, and trace stable ray orbits in the resonator. Our results should be relevant to laser physics, optical micromanipulation, quantum information and optomechanics.
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