Research on propagation characteristic of radial array beams generated by radial array laser through misalignment optical system

• The propagation properties of array beams with Hermite–Gaussian beams are studied.
• The analytical formula of array beams for propagation has been derived.
• Influence of misalignments on propagation property of array beams has been studied.
• Numerical examples are given to illustrate the analytical results.
• Radial array laser can obtain the high-power laser for laser rapid processing.

The analytical formula of radial array beams generated by radial array laser through misalignment of optical system is derived by using the diffraction integral equation. The propagation characteristics of radial array beams converged by the convergent optical system are studied. As the numerical examples, the influences of the two main parameters (the misalignment line deviation and angle deviation) on the light intensity are analyzed in detail. It is shown that the misalignment will lead to the increase of the light intensity of longitudinal lower-order Hermite–Gaussian beams (for example m=1, n=0), and the maximum light intensity (MLI) of the big misalignment (line deviation is 2 mm) is about 2 times higher than the small misalignment (line deviation is 1 mm). However, it will decrease for the transversal lower-order Hermite–Gaussian beams (for example m=0, n=1), and MLI of the small misalignment (line deviation is 1 mm) is about 2 times higher than the big misalignment (line deviation is 2 mm). The results are important for the laser rapid processing and high precision machining.