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Optical properties of three-dimensional plasmonic structures: Advanced methods and chirality

三维等离子体结构的光学特性：先进方法和手性

基本信息

批准号：
179415757
负责人：
Professor Dr. Harald Giessen
金额：
--
依托单位：
LASMEA, Université Blaise Pascal
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2010
资助国家：
德国
起止时间：
2009-12-31 至 2012-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/179415757?language=en
关键词：
Optical properties three dimensional plasmonic

项目摘要

The optical properties of two-dimensional (2D) and three-dimensional (3D) metallic photonic crystals and metamaterials provide features such as band gaps, negative refractive indices, chirality, and polarization effects that can lead to a number of applications. These include sensors, cloaking devices, and superlenses. Nowadays, the theoretical description of these structures is insufficient and incomplete. It is based on simple models as well as numerical methods such as Finite Difference Time Domain (FDTD), Finite Element Method (FEM), Multipole Multipole Method (MMP), Boundary Element Method (BEM), and Fourier Modal Method (FMM). While the experimental designs already become quite complex, the numerical methods until now are often restricted to simpler geometries. Simulations of structures with higher complexity often suffer under problems in convergence. In this project we are aiming to improve the convergence of the Fourier modal method in combination with a scattering matrix (S-matrix) approach [1, 2] for simulations of optical properties of 2D and 3D structures by using a number of numerical methods such as adaptive spatial resolution [3] (ASR), factorization rules [4], and matched coordinates [7]. The latter method of matched coordinates provides the possibility to calculate the optical properties of planar structures with a high accuracy even if they cannot be described in a Cartesian grid. Up to now, this technique has been applied to specific structures consisting of single layers. Detailed goals of this proposal are: (a) extending this method to three-dimensional stacks of layers, (b) studying the optical properties of chiral structures, and (c) deriving the optical eigenmodes of these structures using the approach described in [2, 6], which has to be adapted for matched coordinates.

二维（2D）和三维（3D）金属光子晶体和超材料的光学性质提供了诸如带隙、负折射率、手性和偏振效应的特征，这些特征可以导致许多应用。其中包括传感器、隐形装置和超级透镜。目前，对这些结构的理论描述是不充分和不完整的。它基于简单的模型以及数值方法，如时域有限差分法（FDTD），有限元法（FEM），多极多极法（MMP），边界元法（BEM）和傅立叶模态法（FMM）。虽然实验设计已经变得相当复杂，但到目前为止的数值方法通常仅限于简单的几何形状。具有较高复杂性的结构的模拟经常受到收敛问题的影响。在这个项目中，我们的目标是通过使用一些数值方法，如自适应空间分辨率[3]（ASR），因式分解规则[4]和匹配坐标[7]，结合散射矩阵（S矩阵）方法[1，2]来改善傅立叶模态方法的收敛性，以模拟2D和3D结构的光学特性。后一种方法的匹配坐标提供了一个高精度的计算平面结构的光学性能的可能性，即使它们不能在笛卡尔网格中描述。到目前为止，这种技术已经应用于由单层组成的特定结构。该提案的详细目标是：（a）将该方法扩展到三维层堆叠，（B）研究手性结构的光学性质，以及（c）使用[2，6]中描述的方法导出这些结构的光学本征模，该方法必须适用于匹配坐标。