Controllable autofocusing circular Pearcey Airyprime beam

Abstract This paper introduces a novel type of abrupt autofocusing beam called the circular Pearcey Airyprime beam (CPApB). Theoretical investigations and experimental verification of the propagation dynamics of the CPApB are conducted. Our results indicate that the focusing intensity of the CPApB is significantly higher than that of the circular Pearcey Airy beam (CPAB), reaching about twice that of the CPAB. Therefore, the CPApB exhibits superior autofocusing capability compared to the CPAB under identical conditions. Furthermore, the influence of different decay factors and astigmatism factors on the self-focusing characteristics of the CPApB are investigated. By delving into the underlying principles governing the CPApB, our findings offer new insights and establish foundational theories, aiming to enhance the efficient and precise control of the beam. The superior autofocusing characteristics of the CPApB are expected to be applied to various media.