Propagation of light in linear and quadratic GRIN media: The Bohm potential

重审爱因斯坦的类比：作为梯度折射率透镜的黑洞

Revisiting Einstein's analogy: black holes as gradient-index lenses

本研究基于诺特定理与系统对称性，提出仅以光子轨迹为输入生成对应GRIN介质的方法，可精确复现黑洞附近光子轨迹及恒星轨道进动，为理解广义相对论提供新视角。

非线性量子动力学的光学实现

Optical realization of nonlinear quantum dynamics

本文提出利用 GRIN 器件中适当整形 Gaussian 光束的傍轴传播二阶修正，模拟 Kerr 介质并实现 Schrödinger 猫态相关的非线性量子动力学，同时发现光束可分裂为两束 Gaussian 光束。

Gauge Field Optics with Anisotropic Media

By considering gauge transformations on the macroscopic Maxwell's equations, a two dimensional gauge field, with its pseudo magnetic field in the real space, is identified as tilted anisotropy in the constitutive parameters. We show that optical spin Hall effect and one-way edge states become possible simply by using anisotropic media with broadband response. The proposed gauge field also allows us to design an optical isolator based on the Aharonov-Bohm effect. Our approach will be useful in spoof magneto-optics with arbitrary magnetic fields mimicked by metamaterials with subwavelength unit …

Optics of Nonuniformly Moving Media

A moving dielectric appears to light as an effective gravitational field. At low flow velocities the dielectric acts on light in the same way as a magnetic field acts on a charged matter wave. We develop in detail the geometrical optics of moving dispersionless media. We derive a Hamiltonian and a Lagrangian to describe ray propagation. We elucidate how the gravitational and the magnetic model of light propagation are related to each other. Finally, we study light propagation around a vortex flow. The vortex shows an optical Aharonov--Bohm effect at large distances from the core, and, at short…

On Madelung systems in nonlinear optics: A reciprocal invariance

The role of the de Broglie-Bohm potential, originally established as central to Bohmian quantum mechanics, is examined for two canonical Madelung systems in nonlinear optics. In a seminal case, a Madelung system derived by Wagner et al. via the paraxial approximation and in which the de Broglie-Bohm potential is present, is shown to admit a multi-parameter class of what are here introduced as "q-gaussons". In the limit as the Tsallis parameter q --> 1, the q-gaussons are shown to lead to standard gausson solitons as admitted by logarithmic nonlinear Schroedinger equation encapsulating the Made…

非阿贝尔规范场光学在时域中的应用

Non-Abelian gauge field optics in the time domain

本研究通过时变介质实现非阿贝尔规范场光学，诱导伪电场并产生自旋依赖性位移与震荡，揭示了时域非阿贝尔干涉效应及自旋进动现象。