arXiv 1006.55332010-06-29cond-mat.mes-hall

任意截面纳米线中回音壁模的色散和偏振转换

Dispersion and polarization conversion of whispering gallery modes in arbitrary cross-section nanowires

G. Pavlovic, G. Malpuech, N. A. Gippius

备注：: 9 pages, 10 figures
DOI：: 10.1103/PhysRevB.82.195328

摘要：

我们从理论上研究了具有离散或圆柱对称截面的纳米线的光学性质。形成线的材料是双折射的，在平面中和沿着线的轴显示出不同的介电响应，这通常是由纤锌矿材料（诸如ZnO或GaN）制成的线的情况。我们寻找具有适当对称性的麦克斯韦方程组的解。计算了在截面内具有高动量的模（即回音壁模）的色散和线宽随入射光角度的变化关系。我们特别强调六边形截面的情况。示出了一组方位角量子数的模式的能量位置。我们证明了TE和TM模式与双折射之间的能量分裂的依赖性。讨论了圆柱对称和离散对称情况下，随轴向波矢的增加，TE到TM的偏振转换。

英文摘要：

We investigate theoretically the optical properties of Nano-Wires (NWs) with cross sections having either discrete or cylindrical symmetry. The material forming the wire is birefringent, showing a different dielectric response in the plane and along the axis of the wire, which is typically the case for wires made of wurtzite materials, such as ZnO or GaN. We look for solutions of Maxwell`s equations having the proper symmetry. The dispersions and the linewidths versus angle of incident light for the modes having high momentum in the cross-section plane, so called whispering gallery modes, are calculated. We put a special emphasis on the case of hexagonal cross sections. The energy positions of the modes for a set of azimuthal quantum numbers are shown. We demonstrate the dependence of the energy splitting between TE and TM modes versus birefringence. The polarization conversion from TE to TM with increase of the axial wave vectoris discussed for both cylindrical and discrete symmetry.

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英文摘要：

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