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

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.

研究了考虑规范结构的各向异性介质中光的偏振特性。偏振场是由二分量薛定谔方程自然推导出的斯托克斯矢量的空间分布来实现的。场方程可以扩展，以包括与规范场的耦合。通过构造有效拉格朗日量，得到了Stokes参数(伪自旋)场的演化方程，它类似于各向异性流体、超流体HE3或液晶中织构的运动方程，拉格朗日量类似于弹性理论，由两个项组成：“弯曲”和“扭转”。由此得到的拉格朗日量被简化为非线性Sigma模型的形式，该模型揭示了光偏振的拓扑性质。

项目成果

Stochastic theory of an optical vortex in non- linear media

非线性介质中光学涡旋的随机理论

• 发表时间: 2013
• 期刊: Physical Review E (アメリカ物理学会)
• 作者: 長谷川学;金唱柱;Hiroshi Kuratsuji
• 通讯作者: Hiroshi Kuratsuji

Evolution Equation for Polarized Light : Anal- ogy with Elastic Theory

偏振光的演化方程：与弹性理论的类比

• 发表时间: 2013
• 期刊: 立命館大学理工学研究所紀要
• 作者: 長谷川学;金唱柱;Hiroshi Kuratsuji;Hiroshi Kuratsuji;Hiroshi Kuratsuji
• 通讯作者: Hiroshi Kuratsuji

Geometric phase accompanying SU(2) coherent states for quantum polarized light

• DOI: 10.1103/physreva.88.033801
• 发表时间: 2013-09
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: H. Kuratsuji

Evolution Equation for Polarized Light: Analogy with Elastic Theory

偏振光的演化方程：与弹性理论的类比

• 发表时间: 2013
• 期刊: 立命館大学理工学研究所紀要
• 作者: 長谷川学;金唱柱;Hiroshi Kuratsuji;Hiroshi Kuratsuji;Hiroshi Kuratsuji;Hiroshi Kuratsuji
• 通讯作者: Hiroshi Kuratsuji