Yiyu Zhao

Structured light undergoes severe distortion when propagating through complex media such as turbulent atmospheres and biological tissues, which hinders its practical deployment. Here, we propose a tailored search paradigm based on spatial‐mode‐fitted physics‐informed neural network (PINN) to retrieve structured light fields robust to such distortions in designated complex media. Different from conventional pixel‐based methods, our approach represents the optical field as a superposition of orthogonal Laguerre–Gaussian modes, which substantially reduces dimensionality and computational cost. The proposed physics‐driven and label‐free PINN incorporates wave propagation laws into the loss function, enabling the identification of light fields whose mode compositions remain invariant after transmission through disordered media. Experimental results demonstrate that the obtained robust light fields achieve an intensity structural similarity index measure (SSIM) above 0.8 and a negative Pearson correlation coefficient (NPCC) of the mode power spectrum below 0.1 in turbulent media, a performance nearly comparable to that in free‐space propagation. By customizing the loss function, this framework can also generate light fields that meet practical requirements such as a reduced number of constituent modes. This efficient and versatile strategy opens up new avenues for the deployment of robust structured light in real‐world scattering environments.

Radially self-accelerating beams (RSABs), owing to their rotating propagation and orbital angular momentum (OAM) properties, have found applications in optical micromanipulation and optical metrology. However, conventional RSABs exhibit fixed propagation behaviors, and existing shaping approaches often lack compatibility, restricting their applicability in complex real-world scenarios. In this work, we propose an angular-spectrum engineering approach based on Fourier optics, enabling the design and control of multi-degree-of-freedom RSABs (Multi-DoF RSABs) with programmable angular velocity, longitudinal intensity, three-dimensional trajectory, and OAM. Experimental results demonstrate independent adjustment of these four degrees of freedom, in agreement with theoretical predictions. This work provides a flexible framework for designing RSABs and highlights their potential for applications in optical manipulation and microfabrication.

Radial self‐accelerating beams (RSABs) have attracted significant interest owing to their distinctive propagation‐dependent self‐rotation, petal‐like intensity profiles, and considerable application potential. Conventional methods for generating RSABs, however—such as those relying on Bessel beam superposition—suffer from inherent limitations: they are either experimentally challenging to implement or confine the beam to a fixed spatial angular velocity, thus restricting functional flexibility. To address these constraints, we propose and experimentally validate a novel class of RSABs constructed by superposing self‐similar Laguerre‐Gaussian (LG) modes, termed LG‐RSABs. Inheriting the exceptional propagation stability of LG modes, LG‐RSABs maintain structural integrity over long‐distance free‐space propagation. Notably, they afford highly tunable orbital angular momentum, dynamically variable spatial angular velocity, and customizable transverse intensity profiles—features beyond the reach of conventional RSABs. Experimental demonstrations confirm that LG‐RSABs facilitate stable optical trapping and precise manipulation of micro‐particles. This work not only deepens the fundamental understanding of self‐accelerating beams but also establishes a new paradigm for constructing advanced RSABs, thereby paving the way for future innovations in advanced structured light optics.