Generation of light with controllable spatial patterns via the sum frequency in quasi-phase matching crystals
Zhi-Yuan Zhou, Yan Li, Dong-Sheng Ding, Yun-Kun Jiang, Wei Zhang,, Shuai Shi, Bao-Sen Shi, and Guang-Can Guo

TL;DR
This paper demonstrates a novel method to generate light beams with controllable complex spatial patterns using sum frequency generation in quasi-phase matching crystals, with potential applications in advanced optical technologies.
Contribution
It introduces a new approach to produce and control complex light spatial structures via crystal phase mismatching in SFG, supported by experimental and numerical validation.
Findings
Controllable multi-ring Bessel-Gaussian beams created
Donut-like Laguerre-Gaussian beams generated
Spatial structures tuned by pump frequency and temperature
Abstract
Light beams with extraordinary spatial structures, such as the Airy beam (AB), the Bessel-Gaussian beam (BGB) and the Laguerre-Gaussian beam (LGB), are widely studied and applied in many optical scenarios. We report on preparation of light beams with controllable spatial structures through sum frequency generation (SFG) using two Gaussian pump beams in a quasi-phase matching (QPM) crystal. The spatial structures, including multi-ring-like BGB, donut-like LGB, and super-Gaussian-like beams, can be controlled periodically via crystal phase mismatching by tuning the pump frequency or crystal temperature. This phenomenon has not been reported or discussed previously. Additionally, we present numerical simulations of the phenomenon, which agree very well with the experimental observations. Our findings give further insight into the SFG process in QPM crystals, provide a new way to generate…
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