The superposition of the Bessel and mirrored Bessel beams and investigation of their self-healing characteristic

•The self-healing behavior of the Bessel beam was quantified.•Improved self-healing characteristics were obtained by the superposition of two Bessel beams.•Increasing the order of beams improves self-healing behavior in all cases.•The simulation and experimental results confirm each other in all studies cases. The superposition of the Bessel and Mirrored Bessel beams, and their self-healing characteristic, using the defined similarity function have been investigated, quantitatively. We use the Huygens convolution method to propagate these beams to study their self-healing behavior. Numerical simulations and observational results show that the self-healing property of the superposed beams is better than the self-healing property of the Bessel beams.