AI 中文总结
本文提出具有古伊相位控制刚性旋转的各向异性压缩拉盖尔-高斯光束，经实验证实其自相似刚性旋转特性，该光束可作为结构化光平台，有望应用于轴向定位等领域。
AI 中文摘要
我们提出各向异性压缩拉盖尔-高斯光束，这是一类解析完备的结构化近轴标量光束，具有由古伊相位控制的刚性旋转特性。我们的构造将拉盖尔-高斯横向模态希尔伯特空间组织为圆模态子空间，该子空间携带宇称分辨的单模su(1,1)表示。所得的光学巴格曼基支持压缩态，其最低权重形式可分解为高斯光束相位、宇称相关多项式和椭圆各向异性高斯包络。激发种子是同一压缩包络的多项式变形，将解析构造扩展至整个家族。古伊修饰的压缩参数决定了半轴宽度、纵横比、手性和取向，而传播过程中，光束轮廓会随累积古伊相位旋转，同时保持缩放后的横向形状不变。我们利用合成相位全息图生成这些场，并实验证实了其自相似刚性旋转特性。该标量光束家族提供了一个可调谐的各向异性结构化光平台，其横向取向可编码传播距离，有望应用于轴向定位、测距、光学操纵和模态诊断等领域。
英文摘要
We introduce anisotropic squeezed Laguerre--Gaussian beams as an analytically complete family of structured paraxial scalar beams with Gouy-phase-controlled rigid rotation. Our construction organizes the Laguerre--Gaussian transverse modal Hilbert space into circular modal subspaces carrying parity-resolved single-mode $\mathrm{su}(1,1)$ representations. The resulting optical Bargmann bases support squeezed states whose lowest-weight forms factor into Gaussian beam phases, parity-dependent polynomials, and elliptically anisotropic Gaussian envelopes. Excited seeds are polynomial deformations of the same squeezed envelope, extending the analytic construction to the full family. The Gouy-dressed squeezing parameter sets the semi-axis widths, aspect ratio, handedness, and orientation, while propagation rotates the profile by the accumulated Gouy phase without changing the scaled transverse shape. We generate these fields with synthetic phase holograms and experimentally confirm their self-similar rigid rotation. Our scalar-beam family provides a tunable anisotropic structured-light platform whose transverse orientation encodes propagation distance and may support axial localization, range finding, optical manipulation, and modal diagnostics.
Comments21 pages, 6 figures
