A review on a novel class of circular Pearcey beams generating tunable optical pins an‎d optical channels

4/21/2026 12:00:00 AM

This thesis presents , a comprehensive review an‎d numerical analysis of the novel class of Circular Pearcey Beams (NCPBs), introduced in 2025 as a recent development in the field of structured light. While conventional circular Pearcey beams exhibit powerful abrupt autofocusing an‎d strong self-healing behavior, their practical use has long been limited by extreme post-focal diffraction that restricts non-diffracting propagation to less than 5λ. The NCPB framework overcomes this limitation through carefully designed amplitude modulation an‎d spatial distribution factors, enabling the generation of fully tunable optical pins an‎d long-range optical channels. Using a rigorous theoretical formulation derived from the Pearcey integral an‎d verified through high-fidelity numerical propagation via the Fresnel diffraction integral an‎d split-step Fourier method, this study analyzes key performance characteristics, including focal intensity, transverse confinement, post-focal stability, an‎d controllability of beam geometry. Results numerically reproduce an‎d extend experimentally reported characteristics, demonstrating non-diffracting propagation beyond 120λ, sub-wavelength focal widths as small as 0.36λ, an‎d intensity-uniform optical channels suitable for particle transport, biomedical imaging, an‎d laser material processing. Minor analytical extensions suggest further enhance channel lengths up to 152λ. This thesis consolidates the fragmented literature, establishes a unified theoretical foundation for NCPBs, an‎d offers a validated numerical framework to support future experimental an‎d applied developments in advanced structured-light technologies.

پرتوهاي پيرسي دايره‌اي، , نوين پرتوهاي پيرسي , ، پين‌هاي نوري

Circular Pearcey Beams , Novel Class Pearcey Beams , Optical Pins,

Fadihl Al-Haideri

Dr. Homayoon Eshraghi