Nonlinear Conversion of Orbital Angular Momentum States of Light
Pascal Bass\`ene, Finn Buldt, Nazifa Rumman, Tianhong Wang, Phillip, Heitert, and Moussa N'Gom

TL;DR
This paper explores how second harmonic generation in nonlinear optical materials affects the spatial and mode properties of light carrying orbital angular momentum, demonstrating efficient frequency and mode conversion.
Contribution
It provides a detailed analysis of the nonlinear conversion process for OAM-carrying light, highlighting the effects on mode structure and phase matching conditions.
Findings
Frequency doubled light has modified spatial distribution.
Efficient mode and frequency conversion achieved.
Phase matching conditions are critical for conversion efficiency.
Abstract
We investigate the second harmonic generation of light field carrying orbital angular momentum in bulk material. We show that due to conservation of energy and momentum, the frequency doubled beam light has a modified spatial distribution and mode characteristics. Through rigorous phase matching conditions, we demonstrate efficient mode and frequency conversion based on three wave nonlinear optical mixing.
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