Incoherent Airy and Bessel-Vortex Beams

Optical beam shaping, the ability to manipulate the spatial profile of a light beam both in transverse and longitudinal direction, plays a pivotal role in a wide array of applications across multiple disciplines. However, the majority of optical beam shaping experiments are confined to coherent light sources. In this study, we differently utilize incoherent LED light sources to produce Airy and Bessel-Vortex beams. In addition, we characterized these special beams by their unique intensity patterns in which they are very agree well with their mathematical expressions. The results indicate that both Airy and and Bessel vortex beams preserve their electrical field profiles over much longer distances ($\sim$10 mm) than Gaussian beams of the same spot sizes. Besides, this coherence length can be extended further by employing larger diameter of input beams. The precise control over the intensity and phase distributions afforded by our scheme can enable tailored manipulation of particles and molecules such as in optical trapping experiments. Additionally, the non-diffracting properties of incoherent Airy and Bessel-vortex beams can facilitate extended depth of focus and improved resolution, enhancing imaging capabilities for biological samples in microscopy applications.