Production of Three-Parameter Lommel Beams Using Lohmann-Type Detour Phase-Coding Method

Lommel beams are a type of complex- structure nondiffractive beams expressed by the Lommel function. Their optical features can be adjusted using three parameters: order n, asymmetry c(0), and rotation angle phi(0). However, the optical structure of a Lommel beam is complex, making it challenging to be produced experimentally. In this study, we introduce a complex amplitude modulation technique to generate nondiffractive Lommel beams. The amplitude and phase of complex wavefronts are simultaneously encoded using the Lohmann-type detour phase-coding method. High-quality Lommel beams are produced by processing the computer-generated hologram into a real amplitude mask using the holographic direct-writing printing system. In the experiments, the mask plate reaches 35000 pixel x 35000 pixel. Furthermore, this study provides a general approach for producing nondiffractive beams with other different complex structures.