Langtry T N, Asatryan A A, Botten L C, de Sterke C M, McPhedran R C, Robinson P A
CUDOS and Department of Mathematical Sciences, University of Technology, Sydney, New South Wales 2007, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):026611. doi: 10.1103/PhysRevE.68.026611. Epub 2003 Aug 22.
The effects of randomness on the guiding properties of waveguides embedded in disordered two-dimensional photonic crystals composed of a finite cluster of circular cylinders of infinite length are investigated for TM-polarized radiation. Different degrees of disorder in the radius, filling fraction, refractive index, and position are considered for both straight and 90 degrees bent guides. The crystals exhibit similar sensitivity to refractive index and radius disorder, with a degree of disorder from 15%-20% yielding little substantial change in the guiding properties. A smaller range of position disorder is also considered. For strong disorder in radius and refractive index, the guide effectively closes. These results were obtained by a Monte Carlo simulation method, and the performance of this method is analyzed. The method requires at least ten realizations in some cases for convergence to commence; substantially more realizations are required for moderate and strong disorder to achieve accurate results.
针对TM偏振辐射，研究了随机性对嵌入由无限长圆柱组成的无序二维光子晶体中的波导的导波特性的影响。对于直波导和90度弯曲波导，均考虑了半径、填充率、折射率和位置的不同程度的无序。这些晶体对折射率和半径无序表现出相似的灵敏度，当无序度在15%-20%时，导波特性几乎没有实质性变化。还考虑了较小范围的位置无序。对于半径和折射率的强无序，波导有效地关闭。这些结果是通过蒙特卡罗模拟方法获得的，并对该方法的性能进行了分析。在某些情况下，该方法至少需要十次实现才能开始收敛；对于中等和强无序情况，需要更多的实现才能获得准确结果。
