共查询到20条相似文献,搜索用时 31 毫秒
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本文提出一种新型函数光子晶体, 其折射率是空间位置函数. 由费马原理, 我们给出光在一维、 二维和三维函数光子晶体中的运动方程, 以及一维函数光子晶体的色散关系、 带隙结构和透射率, 再利用传输矩阵理论研究函数光子晶体周期数、 入射角和介质层的厚度等对透射率和禁带结构的影响, 计算发现通过选择不同的折射率空间分布函数, 可以得到比传统光子晶体更宽或更窄的禁带结构. 这样为我们设计不同带隙结构的光子晶体提供理论依据. 相似文献
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Within the Maxwell framework and using the transfer-matrix method, we have determined an exact expression that governs the photonic band structure and the density of states (the group velocity) of one-dimensional superlattices composed of three alternate layers (quasi-sandwiching periodic structure) characterized by three different refractive indexes. We begin by giving the band gap of the quasi-sandwiching period structure. Owing to the advantage of the quasi-sandwiching periodic structure, we develop a specific formula that gives the N-period mode density in terms of the complex transmission coefficient of a unit cell. The specific example of a quarter-wave stack is analyzed. 相似文献
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In the present communication, we have presented band spectra and reflectance properties of one-dimensional multi-layered structure containing dielectric exponentially graded and simple dielectric layers. This study has been performed theoretically by using transfer matrix method. In this paper we have taken the multi-layered structure where refractive index of odd layers is varying continuously along the direction perpendicular to the surface of the layer in exponential form. The effect of the graded profiles are studied and compared with the conventional multi-layered structure of suitable contrast of refractive indices in detail. In this study the materials are considered as non-magnetic and layers other than the graded are taken to be homogeneous and isotropic dielectric medium of constant refractive index. It has been found that the introduction of graded layers enhanced the forbidden band gaps and affects the reflectance of electromagnetic wave spectra significantly. By changing the grading profiles and the contrast, we obtained the forbidden band gaps and the reflectance of such structural change accordingly. Therefore, introducing a graded exponential layer of dielectric in the one-dimensional multi-layered structure provides possible mechanism for enhancing the reflectance as well as the forbidden gap in the optical region. Such multi-layered structure may be useful in the design of a broadband filter. 相似文献
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采用平面波法(PWM)计算一维光子晶体的带隙结构。分别就构造一维光子晶体结构的高低折射膜层的介电常数及填充比(高折射膜层的厚度与晶体周期长度的比值)对禁带带隙宽度的影响作出分析。通过最小二乘曲线和曲面拟合得到带宽与介电常数或带宽与填充比的函数关系图,以确定最佳的禁带带宽,从而设计一维光子晶体的周期结构。对高低折射膜层为GaAs/空气组成的一维光子晶体,介电常数比约为13/1,当填充比为0.16时,计算得禁带带宽为0.2564×2πc/Λ,禁带的中心频率为0.3478×2πc/Λ,与实验数据吻合。 相似文献
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含负折射率缺陷的一维光子晶体的杂质带 总被引:1,自引:1,他引:0
利用传输矩阵方法研究了含负折射率缺陷的一维光子晶体的透射谱.以19个周期的1/4波堆存在3个负折射率缺陷的光子晶体为例进行了数值计算.结果表明:如果改变缺陷的折射率,缺陷模之间的耦合作用将发生改变,带隙中形成的杂质带也随之改变; 当这个折射率取适当值时,在禁带中出现多个尖锐的透射峰,与正折射率缺陷构成的杂质带不同. 相似文献
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用传输矩阵法研究一维光子晶体G(AB)mC(AB)mH的能带特性及电场分布,结果发现:随着m的增大,在830—883nm波长范围内,光子晶体G(AB)mC(AB)mH禁带中的导带透射率逐渐趋于零,即光被禁止通过,实现全反射镜功能,且随着入射角的增大,光子晶体的禁带逐渐向短波方向移动。随着介质层G、H的折射率增大,光子晶体在833.6—879.1nm波长范围内出现大的禁带,亦实现全反射镜功能。光子晶体G(AB)5C(AB)5H内部存在很强的局域电场,即在光子晶体内传输的光,被强烈局域在禁带范围内,并在缺陷层C处达到极大值,而且随着m的增大,局域强度增强。这些光学传输特性,为研究、设计新型光学器件全反射镜、滤波器等提供指导。 相似文献
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A. Soltani Vala S. Roshan Entezar A. A. Sedghi 《The European Physical Journal B - Condensed Matter and Complex Systems》2011,81(3):269-274
By virtue of the efficiency of the Dirichlet-to-Neumann
map method, the details of the band structure of a two-dimensional
square lattice photonic crystal composed of dispersive metamaterial
circular rods in air background has been studied.
We show that there are two flat bands at the band structure
of the system for both H-polarization and E-polarization. These flat bands are created around the
magnetic resonance frequency, surface plasmon frequency and magnetic surface plasmon frequency. We realized that
the modes with frequencies lying above
the resonance frequency behave like resonant cavity modes created in
a single metallic cylindrical waveguide. While, due to the
relatively large and imaginary refractive index of the metamaterial
rods at the frequencies lying below the resonance frequency, the
modes are localized modes with negligible penetration into the rods.
Moreover, the modes are localized at the interface of the
cylindrical metamaterial rods and the air background
for the frequencies around the surface plasmon frequency and the magnetic surface plasmon frequency. 相似文献
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Band structures of one-dimensional(1D)photonic crystals(PCs)containing dispersive left-handed metamaterials are studied theoretically.The results show that the structure possesses a type of photonic band gap originating from total internal reflection(TIR).In contrast to photonic band gaps corresponding to zero average refractive index and zero phase.the TIR gap exhibits sharp angular effect and has no polarization effect.It should also be noted that band structures of transverse electric(TE) and transverse magnetic(TM) mode waves are exactly the same in the PCs we studied. 相似文献
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演示离散混沌系统分岔图的实验方法 总被引:5,自引:3,他引:2
将模拟器件和数字器件相结合,以一维Logistic映象和二维 Henon映象为例,介绍了在电路上实现离散系统分岔图的方法,实验结果与数值计算的结果非常一致. 相似文献
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为了研究光学波段菲波纳契序列一维光子晶体纳米膜的传输特性,应用传输矩阵方法数值模拟各种情况下的透射率即传输函数随频率的变化.数值结果表明在正入射时,菲波纳契序列一维光子晶体中的禁带宽度、中心位置、数目都与构成序列的项数、组元物理厚度、组成序列组元初始次序、组元折射率差值都对传输特性有较大影响,在可见光区组元折射率差值越大越易形成较宽禁带,进一步研究广义菲波纳契序列一维光子晶体纳米膜的传输特性,发现比典型情况更易在可见光区形成禁带. 相似文献
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Artificially fabricated structures with periodically modulated parameters such as photonic crystals offer novel ways of controlling the flow of light due to the existence of a range of forbidden frequencies associated with a photonic band gap. It is believed that modulation of the refractive index in all three spatial dimensions is required to open a complete band gap and prevent the propagation of electromagnetic waves in all directions. Here we reveal that, in sharp contrast to what was known before and contrary to the accepted physical intuition, a one-dimensional periodic structure containing the layers of transparent left-handed (or negative-index) metamaterial can trap light in three-dimensional space due to the existence of a complete band gap. 相似文献
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By virtue of the efficiency of the Dirichlet-to-Neumann map method, the details of the band structure of a two-dimensional magnetic photonic crystal having a square array of parallel circular ferrite rods in air background influenced by an external static magnetic field applied in the rod direction has been investigated. We show that there are two sets of flat bands at the band structure of the system for TM-polarization. These flat bands are created around the magnetic surface plasmon frequency and frequency in which the magnetic permeability has singular value. For the frequency around the magnetic surface plasmon, the modes are highly localized at the interface of the cylindrical ferrite rods and air background and also by approaching the modes to the magnetic surface plasmon frequency the localization length decreases and the number of field's nodes increases considerably. Moreover, we realized that the modes with frequencies lying immediately below the singular value act similar to as resonance cavity modes created in a single metallic cylindrical waveguide. 相似文献
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Takafumi Uemura Shinichi Yamaguchi Akira Saito Masakazu Aono Yuji Kuwahara 《Surface science》2006,600(3):L15
Tunneling electrons from a scanning tunneling microscope were used to excite light emission from individual multiwalled carbon nanotubes adsorbed on a highly ordered pyrolytic graphite surface. In the integral photon-intensity map, spatially uniform emission in the visible region was observed along the identical multiwalled carbon nanotubes. The emission spectra for the individual nanotubes showed unique profiles which differed with each nanotube, and were classified into two types. Our results indicate that the light emission is due to not the localized electronic states at the tube ends or defects but radiative transitions of electrons between the one-dimensional van Hove singularities, indicating that the two types of spectra are attributed to metallic and semiconducting nanotubes. 相似文献
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Solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain 总被引:3,自引:0,他引:3 下载免费PDF全文
By use of the Hartree approximation and the method of multiple scales, we
investigate quantum solitons and intrinsic localized modes in a
one-dimensional antiferromagnetic chain. It is shown that there exist
solitons of two different quantum frequency bands: i.e., magnetic optical
solitons and acoustic solitons. At the boundary of the Brillouin zone, these
solitons become quantum intrinsic localized modes: their quantum
eigenfrequencies are below the bottom of the harmonic optical frequency band
and above the top of the harmonic acoustic frequency band. 相似文献
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基于传输矩阵法,数值研究了掺杂对一维光子晶体带隙特征的影响。研究表明:掺杂时,禁带中心会出现一导带,导带深度会随着掺杂位置、杂质折射率的变化而发生变化。当晶体结构给定时,总存在一个掺杂位置,使其禁带中心的导带深度达到最深;而对于给定的掺杂位置,当杂质折射率为某特定值时,禁带中心同样也会出现一个深度最深的导带,这种特性可应用于滤波器件和光学谐振腔的设计。 相似文献
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We investigate electromagnetic localization in a nonlinear photonic crystal, i.e., a structure with a stop band in its nonlinear spectral response. Taking a one-dimensional model of degenerate two-wave interaction we introduce the concept of parametric nonlinear-gap solitons, that is, strongly localized two-color locked envelopes arising from interplay of two nonlinear effects, which propagate slowly. We discuss the observable signature of these novel localized structures. 相似文献