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Optical orbital angular momentum (OAM), as an important degree of freedom oflight, has been attracted extensive attention, due to its intrinsic feature ofnatural discrete infinite dimension. Manipulation of OAM spectra is crucial formany impressive applications from classical to quantum realms, in particular,nonlinear manipulation of OAM spectra. Here we realized the nonlinearmanipulation of OAM spectra by using the simultaneous second- andthird-harmonic generation in a single nonlinear crystal of quasi-periodicallypoled potassium titanyl phosphate, for fundamental waves with a variety of OAMspectra, especially for customized OAM spectra of the second and thirdharmonics. The experimental results confirmed the theoretical predictions. Ourapproach not only provides a novel way to manipulate OAM spectra at new shorterwavelengths that are hard to be directly generated, but also may find newapplications towards multiplexing in classical optics and high-dimensionalinformation processing in quantum optics.

Nonlinear manipulation of orbital angular momentum spectra with second- and third- harmonic generation in a quasi-periodically poled crystal