双曲超材料平板波导的导波特性研究

发布时间：2018-02-11 05:40

本文关键词： 双曲超材料波导导波石墨烯双曲超材料六角氮化硼　出处：《深圳大学》2017年硕士论文　论文类型：学位论文

【摘要】：平板波导在光学器件集成化、传感器、激光器等方面具有广泛的应用,并且具有结构简单、体积小、易于大规模生产等优势。然而随着科技的迅猛发展,人们对光学器件的要求也越来越高,主要集中在波导器件的尺寸上和性能的提高上。因此了解波导中的导波特性,及设计出新的高性能,小尺寸的波导对光学器件集成化及生产应用具有极其重要的意义。在大量文献的调研及理论基础的情况下,本文中主要研究了双曲超材料平板波导中的导波各种模式的存在情况及特性,并设计了基于石墨烯双曲超材料的等离子体平板波导。平板波导理论基础的推导主要是基于电磁波的边界条件与波动方程。利用公式得到电磁波动方程中用于表示双曲超材料电磁响应的介电常数,进而得到适用于三层平板波导普遍情况的色散方程。在石墨烯基双曲超材料等离子体平板波导中运用MATLAB软件解出色散方程中关键的参数:传播常数β。解出β后,同样利用MATLAB软件仿真该波导的特性曲线,如有效折射率,趋肤深度,传播长度,品质因数等特性曲线。在与传统的金属/介质多层膜结构双曲超材料波导在性能上进行比较时,发现该波导拥有更高的性能优势。同时该波导的最大优势是可调控,即通过变化门电压的大小改变材料的介电常数进而起到调控波导性能的作用,并且可以在中红外波段工作。在六角氮化硼平板波导中,研究了各种模式下导波的存在情况。相比较其他传统超材料导波的特性,该波导具有更多的导波模式存在,这是由于六角氮化硼在不同的波段具有两种双曲类型(ε_‖＞0,ε_(?)＜0和ε_‖＜0,ε_(?)＞0)。在导波中求解模式的存在情况利用的是图解法,该方法可以更直观,更方便的表示出传播常数β。并且给出导波模式存在时的能量归一化仿真图,该图为人们在实际应用中选择中间厚度等参数提供了一定的依据。
[Abstract]:Planar waveguides are widely used in optical devices integration, sensors and lasers, and have the advantages of simple structure, small size and easy mass production. However, with the rapid development of science and technology, The demand for optical devices is also getting higher and higher, mainly focusing on the improvement of the size and performance of waveguide devices. Therefore, we understand the guided wave characteristics in waveguides and design new high performance. Small-sized waveguides are of great significance to the integration and application of optical devices. In this paper, the existence and characteristics of various modes of guided waves in hyperbolic plate waveguides are studied. The plasma planar waveguide based on graphene hyperbolic supermaterial is designed. The theoretical basis of planar waveguide is mainly derived from the boundary conditions and wave equations of electromagnetic wave. Indicating the dielectric constant of the electromagnetic response of hyperbolic metamaterials, Then the dispersion equation suitable for the general situation of three-layer planar waveguide is obtained. The key parameter of dispersion equation is solved by using MATLAB software in graphene based hyperbolic plasma slab waveguide: propagation constant 尾. The characteristic curves of the waveguide, such as effective refractive index, skin depth, propagation length and quality factor, are also simulated by MATLAB software. It is found that the waveguide has higher performance advantages, and the biggest advantage of the waveguide is that it can adjust the performance of the waveguide by changing the dielectric constant of the material by changing the gate voltage. In the hexagonal boron nitride planar waveguide, the existence of guided waves in various modes is studied. Compared with the characteristics of other conventional metamaterials, this waveguide has more guided wave modes. This is due to the fact that hexagonal boron nitride has two hyperbolic types in different bands (蔚 _ n > 0, 蔚 _ T? ) < 0 and 蔚 _ 0 < 0. ) > 0. The graphical method is used to solve the existence of the mode in the guided wave. This method can express the propagation constant 尾 more intuitively and conveniently, and gives the normalized simulation diagram of the energy when the guided wave mode exists. The figure provides a basis for the selection of parameters such as intermediate thickness in practical application.
【学位授予单位】：深圳大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN814

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