Quasi-ray tracing realization using a Bessel beam for optical alignment

In this study, we explore the behavior of Bessel beams as they propagate through a misaligned apertured optical system in practice. Based on experimental observations, we propose what we believe to be a novel hypothesis that a Bessel beam propagating through an optical system behaves identically to a paraxial ray under certain conditions. We then derive analytical formulas for the propagation of Bessel beams in Cartesian coordinates and the Huygens-Fresnel principle. Additionally, another simulation employing Gaussian decomposition was conducted, and we compared both simulations with experimental results, demonstrating a high correlation. Our findings indicate that Bessel beams can be interpreted as meridional rays when passing through misaligned spherical surface systems, allowing us to achieve quasi-ray tracing in practice. We further discuss the significance of utilizing this property of Bessel beams for precise optical alignment, highlighting its potential to enhance the accuracy and efficiency of optical systems.