Gauge theory of polarized light in nonlinear birefringent media

非线性双折射介质中偏振光的规范理论

• 批准号: 24656057
• 负责人: KURATSUJI Hiroshi
• 金额: $ 0.58万
• 依托单位: Ritsumeikan University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2012
• 资助国家: 日本
• 起止时间: 2012-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-24656057/
• 关键词: 非線形光学; 偏光; ゲージ場; ストークス変数; シグマ模型; 非線型; カイラル; 非線形複屈折; 非線形シュレディンガー方程式; カイラル構造; カー効果; 非線形光学; 偏光; ゲージ場; ストークス変数; シグマ模型; 非線型; カイラル; 非線形複屈折; 非線形シュレディンガー方程式; カイラル構造; カー効果

A field equation is studied for the light polarization in anistropic media that incorporates the gauge structure. The field of polarization is realized by a spatial distribution of the Stokes vectors which is naturally deduced from the two-component Schroedinger type equation. The field equation can be extended so as to include the coupling with the gauge field. The evolution equation is derived for the Stokes parameter (pseudo-spin) field by constructing the effective Lagrangian, which is similar to the equation of motion of texture in anistropic fluid; superfluid He3 or liquid crystal; the Lagrangian consists of two terms: "bending" and "twisting" in analogy with elastic theory. The resultant Lagrangian is reduced to a form of the nonlinear sigma model, which suggests the topological nature of the light polarization.

研究了一个结合量规结构的元素介质中光极化的场方程。 偏振场是通过自然从两分量施罗辛格型方程式推导的stokes矢量的空间分布来实现的。可以扩展场方程，以包括与量规场的耦合。 通过构造有效的拉格朗日，该方程是针对Stokes参数（伪旋转）场得出的，这与Anistropic流体中纹理运动方程相似。超流体HE3或液晶；拉格朗日由两个术语组成：与弹性理论类比，“弯曲”和“扭曲”。将最终的拉格朗日人简化为非线性sigma模型的形式，这表明光偏振的拓扑性质。