In the light of φ-mapping method and topological current theory, the contribution of disclination lines to free energy density of liquid crystals is studied in the single-elastic constant approximation. It is pointed...In the light of φ-mapping method and topological current theory, the contribution of disclination lines to free energy density of liquid crystals is studied in the single-elastic constant approximation. It is pointed out that the total free energy density can be divided into two parts. One is the usual distorted energy density of director field around the disclination lines. The other is the free energy density of disclination lines themselves, which is shown to be centralized at the disclination lines and to be topologically quantized in the unit of kπ /2. The topological quantum numbers are determined by the Hopf indices and Brouwer degrees of the director field at the disclination lines, i.e. the disclination strengths. From the Lagrange's method of multipliers, the equilibrium equation and the molecular field of liquid crystals are also obtained. The physical meaning of the Lagrangian multiplier is just the distorted energy density.展开更多
O734 2005010670 二维介质圆柱型光子晶体完全禁带与结构参数的关系= Study on relation between structure parameters and comptete bandgap of two dimensional dielectric-column photonic crystals[刊,中]／张晓玉(中科院光电技术...O734 2005010670 二维介质圆柱型光子晶体完全禁带与结构参数的关系= Study on relation between structure parameters and comptete bandgap of two dimensional dielectric-column photonic crystals[刊,中]／张晓玉(中科院光电技术研究所微细加工光学技术国家重点实验室。四川,成都(610209)),姚汉民…∥光电子·激光．-2004,15(7)．-835-838 利用Bandsolve软件分别优化计算得到GaAs、Si、Ge展开更多
文摘In the light of φ-mapping method and topological current theory, the contribution of disclination lines to free energy density of liquid crystals is studied in the single-elastic constant approximation. It is pointed out that the total free energy density can be divided into two parts. One is the usual distorted energy density of director field around the disclination lines. The other is the free energy density of disclination lines themselves, which is shown to be centralized at the disclination lines and to be topologically quantized in the unit of kπ /2. The topological quantum numbers are determined by the Hopf indices and Brouwer degrees of the director field at the disclination lines, i.e. the disclination strengths. From the Lagrange's method of multipliers, the equilibrium equation and the molecular field of liquid crystals are also obtained. The physical meaning of the Lagrangian multiplier is just the distorted energy density.
文摘O734 2005010670 二维介质圆柱型光子晶体完全禁带与结构参数的关系= Study on relation between structure parameters and comptete bandgap of two dimensional dielectric-column photonic crystals[刊,中]／张晓玉(中科院光电技术研究所微细加工光学技术国家重点实验室。四川,成都(610209)),姚汉民…∥光电子·激光．-2004,15(7)．-835-838 利用Bandsolve软件分别优化计算得到GaAs、Si、Ge
