Frequency up-conversion and arbitrary sum arithmetic of lights with orbital angular momentum
Yan Li, Zhi-Yuan Zhou, Dong-Sheng Ding, Wei Zhang, Shuai Shi, Bao-Sen, Shi

TL;DR
This paper demonstrates the first frequency sum of two OAM-carrying light beams in quasi-phase matching crystals, enabling arbitrary sum operations and advancing OAM-based optical communication and switching.
Contribution
It introduces the first frequency sum of OAM beams in crystals and shows arbitrary sum arithmetic, expanding capabilities for OAM-based optical systems.
Findings
First frequency sum of OAM beams in crystals.
Demonstration of arbitrary sum arithmetic of OAM lights.
Potential applications in optical communication and switching.
Abstract
Frequency sum of two light beams carrying orbital angular momentum (OAM) in quasi-phase matching crystals was reported for the first time. The situations in which one light carried OAM and the other is in Gaussian mode and both beams carried OAM were studied in detail. An arbitrary sum arithmetic of lights with OAM was demonstrated in the conversion process. Our study is very promising in constructing hybrid OAM-based optical communication networks and all optical switching.
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