雙曲超材料平板波導的導波特性研究
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本文關鍵詞: 雙曲超材料 波導 導波 石墨烯雙曲超材料 六角氮化硼 出處:《深圳大學》2017年碩士論文 論文類型:學位論文
【摘要】:平板波導在光學器件集成化、傳感器、激光器等方面具有廣泛的應用,并且具有結構簡單、體積小、易于大規(guī)模生產等優(yōu)勢。然而隨著科技的迅猛發(fā)展,人們對光學器件的要求也越來越高,主要集中在波導器件的尺寸上和性能的提高上。因此了解波導中的導波特性,及設計出新的高性能,小尺寸的波導對光學器件集成化及生產應用具有極其重要的意義。在大量文獻的調研及理論基礎的情況下,本文中主要研究了雙曲超材料平板波導中的導波各種模式的存在情況及特性,并設計了基于石墨烯雙曲超材料的等離子體平板波導。平板波導理論基礎的推導主要是基于電磁波的邊界條件與波動方程。利用公式得到電磁波動方程中用于表示雙曲超材料電磁響應的介電常數(shù),進而得到適用于三層平板波導普遍情況的色散方程。在石墨烯基雙曲超材料等離子體平板波導中運用MATLAB軟件解出色散方程中關鍵的參數(shù):傳播常數(shù)β。解出β后,同樣利用MATLAB軟件仿真該波導的特性曲線,如有效折射率,趨膚深度,傳播長度,品質因數(shù)等特性曲線。在與傳統(tǒng)的金屬/介質多層膜結構雙曲超材料波導在性能上進行比較時,發(fā)現(xiàn)該波導擁有更高的性能優(yōu)勢。同時該波導的最大優(yōu)勢是可調控,即通過變化門電壓的大小改變材料的介電常數(shù)進而起到調控波導性能的作用,并且可以在中紅外波段工作。在六角氮化硼平板波導中,研究了各種模式下導波的存在情況。相比較其他傳統(tǒng)超材料導波的特性,該波導具有更多的導波模式存在,這是由于六角氮化硼在不同的波段具有兩種雙曲類型(ε_‖>0,ε_(?)<0和ε_‖<0,ε_(?)>0)。在導波中求解模式的存在情況利用的是圖解法,該方法可以更直觀,更方便的表示出傳播常數(shù)β。并且給出導波模式存在時的能量歸一化仿真圖,該圖為人們在實際應用中選擇中間厚度等參數(shù)提供了一定的依據(jù)。
[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.
【學位授予單位】:深圳大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:TN814
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