Generation and Analysis of Fractional Bessel-Gauss Beams Matrices via Holographic Techniques

Abstract This work presents the generation and analysis of beam matrices and Bessel-Gauss beams, integer and fractional, using holographic techniques. Experimental optical beam generation was performed using computer-generated holograms (CGHs) and spatial light modulators (SLMs). Also, a digital holographic interferometry technique was also used to characterize the intensity and phase profiles of these beams. The theoretical and experimental results are in agreement and show how the Bessel-Gauss beams, integer and fractional, propagate along the optical axis, in addition to the transverse intensity and phase profiles. In addition, Bessel- Gauss beam matrices were generated experimentally with results that were consistent with the theoretical simulation. These results are very promising, with excellent possibilities to expand the applications of these beams and matrices in different areas, such as optical manipulation, optical metrology, optical communications, and quantum information, among others.