Conversion and manipulation of radial quantum modes in second-harmonic-generation processes

Zhao, Ruizhi; Lu, Ronger; Hong, Xuhao; Xia, Feng; Xu, Yaguang; Yuan, Xudong; Zhang, Chao; Qin, Yiqiang; Zhu, Yanyan

doi:10.1103/physreva.101.023834

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“…The transverse overlap, specifically the integration over the azimuthal angle, is sufficient to define phase-matching, and hence angular momentum conservation in nonlinear crystals [26][27][28][29] and in atomic vapours [30][31][32][33]. In extended media however, the relative Gouy phase of the involved modes becomes important [34][35][36][37][38][39].…”

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confidence: 99%

Gouy phase-matched angular and radial mode conversion in four-wave mixing

et al. 2021

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We investigate the conversion between transverse mode structures in four-wave mixing in a heated rubidium vapour. While angular momentum conservation in this nonlinear process dictates the selection rules for the angular quantum number, the role of the radial quantum number is more esoteric. We demonstrate experimentally that a clean Laguerre-Gauss mode LG p =LG 0 1 can be generated by converting LG 1 0 and LG −1 0 near-infrared pump beams -but only if the length of the atomic medium exceeds the Rayleigh range. In the same regime we also observe a direct transfer of the total radial quantum number from input to generated light modes.

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