Gouy Phase Radial Mode Sorter for Light: Concepts and Experiments
Xuemei Gu, Mario Krenn, Manuel Erhard, Anton Zeilinger

TL;DR
This paper introduces a lossless radial mode sorter for light based on Gouy phases, enabling complete 2D transverse mode analysis and applications in classical multiplexing and quantum experiments.
Contribution
It presents a novel, experimentally feasible device for sorting radial modes of light using Gouy phases, expanding capabilities for quantum and classical optical information processing.
Findings
Successfully designed a lossless radial mode sorter
Demonstrated the device's ability to sort angular-momentum modes
Potential applications in high-dimensional quantum experiments
Abstract
We present an in principle lossless sorter for radial modes of light, using accumulated Gouy phases. The experimental setups have been found by a computer algorithm, and can be intuitively understood in a geometric way. Together with the ability to sort angular-momentum modes, we now have access to the complete 2-dimensional transverse plane of light. The device can readily be used in multiplexing classical information. On a quantum level, it is an analog of the Stern-Gerlach experiment -- significant for the discussion of fundamental concepts in quantum physics. As such, it can be applied in high-dimensional and multi-photonic quantum experiments.
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