Self-focusing morphology of juxtaposed double-ring Airyprime-Gaussian beam arrays

In this paper, the variation of self-focusing morphology and focusing interval of a juxtaposed double-ring Airyprime-Gaussian beam array (JDAPGBA) is investigated by changing the proportionality coefficient between the transverse displacements of the outer and the inner rings β. When β increases within a certain range, the JDAPGBA will change from a single self-focusing to the first self-focusing from the inner ring and the second self-focusing from the outer ring, accompanied by the gradual increase of the focusing interval. As β increases, the self-focusing ability of the inner ring is initially weaker than that of the outer ring, and then the self-focusing ability of the inner ring increases. In contrast, the self-focusing ability of the outer ring weakens until the two self-focusing skills are equal to each other. The generation of the double self-focusings of the JDAPGBA is explained in terms of the physical mechanism. In addition, the effects of the transverse displacement of the inner ring din and the distribution factor g on the focusing interval of the JDAPGBA are analyzed in detail. If din increases, the focusing interval also increases, both self-focusing abilities enhance, and the modulation range of β decreases as well. If the distribution factor g increases, the focusing interval rises, both self-focusing abilities weaken, the modulation range of β increases as well. Finally, the correctness of the above conclusions is confirmed by the experimental measurements of the self-focusing properties of the JDAPGBA. The above research provides a new scheme on how to generate double self-focusings and freely change the focusing interval, as well as new insights into the practical application of juxtaposed double-ring self-focusing beam arrays.