各向异性材料为基元的多层膜超材料光学性质研究
发布时间：2018-11-29 10:52
【摘要】：随着纳米加工和表征技术的快速发展,人们对人工超材料、超表面的研究达到了一个新的阶段。这些周期性纳米结构具有丰富的电磁性质,并在光信号的相位调控、光子能量选择性透过,近场成像以及非线性光学响应等领域展现出了极大的应用前景。近年来的研究表明,利用多层膜可以实现超材料的构建以获得光学传输的有效调控。之前的大量研究工作主要集中在将各向同性的薄膜材料作为基元进行周期性地排列,设计出各向异性的超材料,从而获得特定的光学响应。值得注意的是,通常这样一类深亚波长尺度的多层膜结构的有效介电常数具有独特的双曲色散特性,我们称之为"双曲材料"。最近,有人将"双曲材料"作为基元来构建新型多层膜超材料,但是对于这种超材料的有效介电参数的全局描述鲜见报道。本文以超材料介电常数的全局参数描述为科学问题,在理论上利用多层膜体系含有位相信息的反射和透射系数,发展了一般的数学方法,研究了由各向同性或者各向异性材料为基元构成的光子超材料的有效介电常数(permittivity,εeff)、磁导率(permeability,μeff)以及以及波常数(包括有效波矢k和有效阻抗z),为特定功能的新型光子超材料的设计提供了可靠的理论方法。论文主要研究内容包括以下几个方面:1、论文介绍了光子晶体以及各向异性光学材料,着重介绍了 "双曲材料"的介电和介磁特性;提出了本文主要采用的物理思想和数学方法,特别是着重描述了我们具体研究所使用的四维传输矩阵法;2、介绍当前被广泛使用的基本的平均场近似理论(Effective Medium Theory,EMT),并在此基础上,推导出以各向异性材料为基元构成的多层膜超材料的有效介电张量以及磁张量,详细讨论了这种等效介质理论在进行多层膜体系描述时的适用范围。3、利用我们所发展函数拟合方法和解析法这两种数学方法,从含有位相信息的反射和透射系数中,得到描述多层膜超材料更加精确的全局性有效介质参数和波参数。
[Abstract]:With the rapid development of nanoprocessing and characterization technology, the study of artificial supermaterial and supersurface has reached a new stage. These periodic nanostructures have abundant electromagnetic properties and show great application prospects in the fields of optical signal phase control photon energy selective transmission near-field imaging and nonlinear optical response. Recent studies have shown that the use of multilayer films can realize the construction of metamaterials to achieve effective control of optical transmission. Previous studies have focused on the periodic arrangement of isotropic thin film materials as elements and the design of anisotropic supermaterials to obtain specific optical responses. It is worth noting that the effective permittivity of this kind of deep subwavelength scale multilayer structure usually has unique hyperbolic dispersion characteristics, which we call "hyperbolic material". Recently, "hyperbolic material" has been used as the basic element to construct a new type of multilayer film supermaterial, but the global description of the effective dielectric parameters of this metamaterial is rarely reported. In this paper, the global parameter of permittivity of metamaterials is described as a scientific problem. In theory, a general mathematical method is developed by using the reflection and transmission coefficients of the multilayer system with phase information. The effective permittivity (permittivity, 蔚 eff), permeability (permeability, 渭 eff) and wave constants (including effective wave vector k and effective impedance z),) of photonic supermaterials consisting of isotropic or anisotropic materials are studied. It provides a reliable theoretical method for the design of new photonic supermaterials with specific functions. The main contents of this paper are as follows: 1. The photonic crystal and anisotropic optical materials are introduced, and the dielectric and magnetic properties of hyperbolic materials are emphasized. The physical thought and mathematical method used in this paper are put forward, especially the four-dimensional transmission matrix method used in our research is described emphatically. 2. The basic theory of mean field approximation (Effective Medium Theory,EMT), which is widely used at present, is introduced. On the basis of this, the effective dielectric properties of multilayer supermaterials composed of anisotropic materials and magnetic Zhang Liang are derived. The scope of application of this equivalent medium theory in the description of multilayer film system is discussed in detail. Using the two mathematical methods developed by us, the function fitting method and the analytical method, the reflection and transmission coefficients with phase information are analyzed. More accurate global effective medium parameters and wave parameters describing multilayer supermaterials are obtained.
【学位授予单位】：南京大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB383.2;TB34
，
本文编号：2364798
[Abstract]:With the rapid development of nanoprocessing and characterization technology, the study of artificial supermaterial and supersurface has reached a new stage. These periodic nanostructures have abundant electromagnetic properties and show great application prospects in the fields of optical signal phase control photon energy selective transmission near-field imaging and nonlinear optical response. Recent studies have shown that the use of multilayer films can realize the construction of metamaterials to achieve effective control of optical transmission. Previous studies have focused on the periodic arrangement of isotropic thin film materials as elements and the design of anisotropic supermaterials to obtain specific optical responses. It is worth noting that the effective permittivity of this kind of deep subwavelength scale multilayer structure usually has unique hyperbolic dispersion characteristics, which we call "hyperbolic material". Recently, "hyperbolic material" has been used as the basic element to construct a new type of multilayer film supermaterial, but the global description of the effective dielectric parameters of this metamaterial is rarely reported. In this paper, the global parameter of permittivity of metamaterials is described as a scientific problem. In theory, a general mathematical method is developed by using the reflection and transmission coefficients of the multilayer system with phase information. The effective permittivity (permittivity, 蔚 eff), permeability (permeability, 渭 eff) and wave constants (including effective wave vector k and effective impedance z),) of photonic supermaterials consisting of isotropic or anisotropic materials are studied. It provides a reliable theoretical method for the design of new photonic supermaterials with specific functions. The main contents of this paper are as follows: 1. The photonic crystal and anisotropic optical materials are introduced, and the dielectric and magnetic properties of hyperbolic materials are emphasized. The physical thought and mathematical method used in this paper are put forward, especially the four-dimensional transmission matrix method used in our research is described emphatically. 2. The basic theory of mean field approximation (Effective Medium Theory,EMT), which is widely used at present, is introduced. On the basis of this, the effective dielectric properties of multilayer supermaterials composed of anisotropic materials and magnetic Zhang Liang are derived. The scope of application of this equivalent medium theory in the description of multilayer film system is discussed in detail. Using the two mathematical methods developed by us, the function fitting method and the analytical method, the reflection and transmission coefficients with phase information are analyzed. More accurate global effective medium parameters and wave parameters describing multilayer supermaterials are obtained.
【学位授予单位】：南京大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB383.2;TB34
，
本文编号：2364798
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