Fast modeling of photonic bandgap structures by use of a diffraction-grating approach
Fast modeling of photonic bandgap structures by use of a diffraction-grating approach
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DOI：
10.1364/josaa.15.001586
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发表时间：
1998-06-01
影响因子：
1.9
通讯作者：
Paraire, N
中科院分区：
文献类型：
--
作者：
Dansas, P;Paraire, N
N. Chateau 和 J. P. Hugonin 提出的严格耦合波方法 [J.选择。秒。是。 A 11, 1321 (1994)] 并由 S. Peng 和 G. M. Morris 重新审视 [J.选择。秒。是。一维 (1D) 衍射光栅的 12, 1087 (1995)] 用于对光子带隙 (PBG) 结构的衍射特性进行建模。二维 (PD)-PBG 结构被视为一维光栅的堆叠。原始的 S 矩阵算法是为任何一维光栅的建模而制定的，该光栅由在光栅平面中具有对称平面的杆形成。研究了许多例子——处理方形（圆形）截面的无限杆的堆叠，其与垂直平面的相交形成方形、三角形或六角形晶格。特别关注无损耗（有损耗）电介质和金属材料中的 TM 极化。对于这种偏振，我们利用 P. Lalanne 和 G. M. Morris 为一维金属光栅制定的会聚改进 [J.选择。秒。是。 A 13, 779 (1996)] 以及 G. Granet 和 R. Guizal [J.选择。秒。是。 A 13, 1019 (1996)]。简要研究了在 2D-PBG 结构中引入由具有线性（非线性）光学特性的介电材料制成的周期性缺陷以及 1.3-1.55 μm 波长范围内的光学滤波器和开关的可行性。通过立方体的立方体三维 (3D)-PBG 结构的示例说明了建模工具的使用限制。 (C) 1998 年美国光学学会。
The rigorous coupled-wave method formulated by N. Chateau and J. P. Hugonin [J. Opt. Sec. Am. A 11, 1321 (1994)] and revisited by S. Peng and G. M. Morris [J. Opt. Sec. Am. A 12, 1087 (1995)] for one-dimensional(1D) diffraction gratings is used for the modeling of diffraction properties of photonic bandgap (PBG) structures. A two-dimensional (PD)-PBG structure is considered as a stack of 1D gratings. An original S-matrix algorithm is formulated for the modeling of any 1D grating, formed by rods that have a symmetry plane in the grating plane. Many examples-dealing with stacks of infinite rods of square (circular) sections, whose intersection with a perpendicular plane forms square, triangular, or hexagonal lattices-are studied. Particular attention is devoted to TM polarization in lossless (lossy) dielectric and metallic materials. For this polarization we take advantage of the convergence improvement formulated for 1D metallic gratings by P. Lalanne and G. M. Morris [J. Opt. Sec. Am. A 13, 779 (1996)] and G. Granet and R. Guizal [J. Opt. Sec. Am. A 13, 1019 (1996)]. The introduction of a periodic defect-made of dielectric material that has linear (nonlinear) optical properties-in a 2D-PBG structure and the feasibility of optical filters and switches in the 1.3-1.55 mu m wavelength range are briefly studied. Limitations for the use of the modeling tool are illustrated through an example of a cubic three-dimensional (3D)-PBG structure of cubes. (C) 1998 Optical Society of America.