“…When the propagation distance increases to a certain critical value, the relative spectral shift of the spectrum becomes 0, and the spectral shift will rapidly transform from redshift (blueshift) to blueshift (redshift), which is known as the spectral switch. [21,[23][24][25] In this paper, we investigate the spectral shifts and spectral switches of PCEGSM vortex beam propagating in free space and atmospheric turbulence, and discover some interesting new properties. The effects of turbulence parameters, radial coordinates, and the initial coherent length on the relative spectral shift of PCEGSM vortex beam are discussed in detail.…”