Wave Propagation in Random Media and Berry Phases

随机介质和浆果相中的波传播

• 批准号: 06640524
• 负责人: KITANO Masao
• 金额: $ 1.34万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06640524/
• 关键词: random media; wave propagation; Berry phase

We investigated the geometrical features of 1D wave propagation, whose dynamics is described by the (2+1)-dimensional Lorentz group. There found many interesting geometrical ingredients such as spinor-like behavior of wave amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group Berry phases. The geometrical descriptions were found to be very useful for intuitive understanding of 1D wave phenomena. The appearance of spinor-like behavior in classical context is very interesting in the sense that the two-valued representation was believed peculiar to the quantum regime. We also propose an optical experiment to verify these effects.

我们研究了一维波传播的几何特征，其动力学由（2+1）维Lorentz群描述。发现了许多有趣的几何成分，如波振幅的旋量行为，规范变换，布洛赫型方程和洛伦兹群贝瑞相位。几何描述被发现是非常有用的直观理解的一维波动现象。在经典背景下，类旋量行为的出现是非常有趣的，因为二值表示被认为是量子体系所特有的。我们还提出了一个光学实验来验证这些效果。

项目成果

M. Kitano: "Geometry of One-Demensional Wave Propagation" Physical Review A. 51. 4427-4432 (1995)

M. Kitano：“一维波传播的几何”物理评论 A. 51. 4427-4432 (1995)

M.Kitano: "Geometry of One-dimensional Wave Propagation" Physical Review. A,51. 4427-4432 (1995)

M.Kitano：“一维波传播的几何”物理评论。