The LBTEK flat-plate cylindrical lens array is a planar optical element that achieves one-dimensional beam shaping and homogenization based on the diffractive optical principle of liquid crystal polymers. It consists of a polymer film and two N-BK7 window plates, where the one-dimensional arrayed phase distribution on the polymer film realizes the functionality of a cylindrical lens array. Its modulation effect on the beam is related to the polarization characteristics of the incident beam and the parameters of the cylindrical lens unit: by adjusting the incident beam to left-handed circularly polarized light (right-handed circularly polarized light), a right-handed circularly polarized output beam (divergent left-handed circularly polarized output beam) that first converges and then diverges can be obtained. The divergence or convergence angle follows sinθ=λ/p, where λ is the design wavelength and p is the phase period of the unit cylindrical lens. By adjusting the phase period of the cylindrical lens unit, the divergence angle of the output beam can be flexibly controlled to meet various specifications for one-dimensional beam shaping and homogenization. Additionally, the flat-plate cylindrical lens array is designed for a single wavelength, free from spherical aberration, and features an anti-reflection coating on the incident surface, ensuring high transmittance and diffraction efficiency. These characteristics make the flat-plate cylindrical lens array highly promising for applications in scientific research fields such as imaging, machine vision, and semiconductor laser collimation.