You see, the superposition phase of L (quanta of orbital angular momentum light) with minus L could be calculated with a pattern of Pi and 0. But for different L (like 2 and -3), how do you generate the superposition phase state with these L?
If you have a spatial light modulator then your options are numerous. See for example the generation of complicated modal superpositions
Leach, J., Dennis, M. R., Courtial, J., & Padgett, M. J. (2005). Vortex knots in light. New Journal of Physics, 7, 55. doi:10.1088/1367-2630/7/1/055
Or doing it with modes of slightly different optical frequency
Franke-Arnold, S., Leach, J., Padgett, M. J., Lembessis, V. E., Ellinas, D., Wright, A. J., et al. (2007). Optical ferris wheel for ultracold atoms. Optics Express, 15(14), 8619–8625.
Best wishes
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