Coexistence of varied intensities, phases, and polarization states along the direction of beam propagation

Polarization state, as one of the fundamental properties of light fields, has found widespread applications across various domains. The control of intensity, phase, and polarization state along the direction of beam propagation has opened up new avenues for beams. In this work, we generated a beam in which different intensities, phases, and polarization states can simultaneously appear at different positions along the direction of beam propagation. In other words, varied intensities, phases, and polarization states can coexist in the direction of beam propagation. The correctness of this method is validated through theoretical analysis and experimental results. This approach expands the application scope of light beams and provides a favorable path for exploring the optical characteristics of beams.