Berry's Phase of Solitons in Optical Fibers

光纤中孤子的贝里相

• 批准号: 8613773
• 负责人: Raymond Chiao
• 金额: $ 16万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-01 至 1990-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8613773&HistoricalAwards=false
• 关键词: Berry; Phase; Solitons; Optical; Fibers

An important recent development in linear wave physics is the discovery by M.V. Berry of Bristol Univesity, England, of an unexpected phase shift in the adiabatic limit for the Schroedinger equation. This phase is acquired upon adiabatic transport of a quantum system around a closed circuit in the parameter space of the Hamiltonian, and is solely a topological property of the circuit. These ideas have recently been extended by Professor Chiao to the field of optics. An experiment in linear optics has shown that this phase appears as the angle of optical rotation of linear polarization of light in a helically wound optical fiber. The current research extends these investigations both theoretically and experimentally to nonlinear wave propagation, with emphasis on the propagation of linearly polarized optical solitons generated by picosecond pulses inside a helical fiber. The question of how Berry's phase extends to the nonlinear case will thereby be partly answered. Potential applications of this new fundamental phenomenon will be explored.

线性波物理学最近的一个重要发展是发现 由英国布里斯托大学的M.V.贝里提出， 薛定谔方程绝热极限的移动。 这个阶段 是在量子系统围绕一个 在哈密顿量的参数空间中的闭合电路，并且仅仅是 电路的拓扑性质。 这些想法最近被 焦教授将其扩展到光学领域。 一个实验 线性光学已经表明，这个相位表现为光学的角度， 螺旋缠绕光学系统中光的线偏振的旋转 光纤 目前的研究扩展了这些调查， 理论上和实验上的非线性波传播， 着重讨论了线偏振光孤子的传输 由螺旋光纤内的皮秒脉冲产生。 问题 贝瑞的相位如何扩展到非线性的情况下，从而将部分 回答 这一新的基本现象的潜在应用 将被探索。