基于传输线技术的零平均折射率(zero-n-)带隙的实验研究

基于传输线方法,制备了含左手材料和右手材料的一维光子晶体.通过仿真软件ADS的模拟和矢量网络分析仪的测量,研究了光子晶体的传输特性.实验结果表明:由左手材料和右手材料构成的一维光子晶体具有零平均折射率(zero-n-)带隙,这一带隙处于左手通带和右手通带之间.zero-n-带隙分别由零平均介电常量和零平均磁导率决定,进而对晶格尺度不敏感.     

基于传输线技术的零平均折射率(zero-)带隙的实验研究

基于传输线方法,制备了含左手材料和右手材料的一维光子晶体.通过仿真软件ADS的模拟和矢量网络分析仪的测量,研究了光子晶体的传输特性.实验结果表明:由左手材料和右手材料构成的一维光子晶体具有零平均折射率(zero-)带隙,这一带隙处于左手通带和右手通带之间.zero-带隙分别由零平均介电常量和零平均磁导率决定,进而对晶格尺度不敏感.     

平均折射率为零的光子晶体中缺陷模频率特性的实验研究

利用传输线技术制备了左手材料,将左手材料与正常材料交替排列组合成平均折射率为零的一维光子晶体.该光子晶体在特定频段具有光子带隙,带隙不随晶格尺度和入射角的变化而改变.通过掺杂技术破坏光子晶体的周期性,可在禁带中引入缺陷模,这种结构的光子晶体可用于实现滤波器小型化和超强耦合.研究表明,通过调节缺陷的厚度可以控制缺陷模的频率,这为调节频率提供了一种方法.实验与仿真结果相符. 关键词： 左手材料 复合左右手传输线 光子晶体     

含负折射率材料的一维光子晶体禁带特性

运用光学传输矩阵和色散关系理论,研究了由正折射率材料和负折射率材料交替组成的一维光子晶体的禁带特性,发现了一种新型带隙—零平均折射率带隙。与传统的Bragg带隙相比,只要两种介质厚度的比例保持不变,这种零平均折射率带隙的边缘频率,与光子晶体的晶格常数无关,并利用一个等效的传输线模型得出了带隙边缘频率的数学表达式,解释了这个性质。     

含左手材料异质结构光子晶体的零平均折射率带隙的展宽

运用光学传输矩阵理论,研究了含左手材料一维二元光子晶体的禁带特性.提出了含左手材料的光子晶体异质结构中零平均折射率带隙展宽的方法.根据此方法设计的异质结构的光子晶体形成的零平均折射率带隙,与一维光子晶体零平均折射率带隙相比,零平均折射率带隙的宽度和相对带隙宽度可以得到显著的拓宽.而且它的零平均折射率带隙的边缘与TM波和TE波相关.这种特性在微型谐振腔、天线基片、同轴波导等方面都具有潜在的应用.     

与色散介质毗邻的一维半无限光子晶体表面态

运用Bloch定理和传输矩阵方法,研究了与色散介质毗邻的由两种材料组成的半无限一维光子晶体局域表面态的电场和色散关系.和以空气为背景的一维光子晶体相比,毗邻色散介质的光子晶体表面模色散曲线在一定堆积次序下会在较低的带隙中发生断开,较高带隙中的表面模群速度在不同堆积次序下会有很大差异.当与色散介质毗邻的物质折射率较大时,较高带隙中的表面模群速度较小；与色散介质毗邻的物质折射率较小时,较高带隙中表面模的群速度较大.     

微波段左手材料光子晶体带隙特性研究

利用电磁理论和传输矩阵法仿真得到了在0.3~6.935GHz微波波段具有负折射率的左手材料,并分别对右手材料和左手材料构成的光子晶体带隙特点进行了分析.结果表明:右手材料光子晶体结构的带隙对周期数变化不敏感,而对层厚度比、入射角度变化敏感;左手材料光子晶体带隙随层厚度比的增大,带隙位置出现蓝移,随着入射角度的增大,TM波主带隙的上带边会出现红移,而TE波带隙特性对入射角度变化不敏感.研究结果对微波技术中全方位反射器等器件的设计有一定的参考意义.     

左手材料纤芯双包层光纤的传输特性

对纤芯为左手材料,内包层和外包层都为右手材料的双包层光纤进行了分析.在弱导情况下,且不考虑介质损耗,由亥姆霍兹方程出发,得到了HE、EH、TE和TM导模的色散方程,并在远离截止条件下,对其进行简化.所有的TE和TM模都是简并的.分别讨论了内包层折射率和厚度对该左手材料光纤最低阶导模的影响,画出了各自的色散曲线,并和右手材料光纤导模相应色散曲线进行了比较,发现左手材料光纤的低阶导模具有反常的色散特性.     

利用集总L-C元件构造的一维metamaterials特性的实验研究

在普通微带传输线中周期性地加载集总L C元件能够构造一维特异性材料(metamaterials)，它具有与众不同的特异性质.通过实验证实了波在这种结构中传播具有相速度与群速度方向相反的左手性通带，其折射率为负值，并发现平均折射率为零的能隙.这种结构具有结构紧凑，参数可调，制作简单的优点. 关键词： 负折射率 特异性材料 周期性结构 微带线     

Metamaterials电磁特性的数值仿真研究

利用HFSS软件，对电磁波在左手材料中的后向波传输、平板成像特性和近零折射率媒质的定向辐射特性进行了全波仿真研究，分别验证了左手材料与近零折射率媒质的上述特性。利用AnsoftDesigner软件，对去掉并联电感和去掉串联电容的、基于微带线的两种简化的左右手复合传输线构成的具有磁单负和电单负特性介质的电磁特性进行了仿真研究，验证了电磁波在匹配的MNG-ENG介质对结构的隧穿特性。     

Fermat原理在左手媒质中的推广

 在考虑左、右手媒质定义对比基础上，定义了广义折射率，并对Fermat原理的表述进行了推广。从电磁理论出发，得到了折射率的具体表示。广义的折射率可以通过媒质电参数有效地表现理想及人工复合左、右手媒质中折射的负正特性。以此所得理论可以有效描述由左、右手媒质所共同构成的折射率可变的混合稳态电磁或光学传输系统。讨论了折射率的高频形式，并对负折射现象进行了讨论。     

左手介质矩形波导导模和表面模的场分布

从麦克斯韦方程组出发,结合电磁场的边界条件,推导出介质矩形波导导模的一般色散方程.对普通介质矩形波导和左手介质矩形波导的导模场分布分别进行了数值模拟.通过对比两种介质矩形波导的导模场分布的模拟结果,发现左手介质矩形波导Ex22模的场分布比普通介质波导Ex00模的场更集中在波导中部.同时,根据处理普通介质矩形波导的Marcatili方法.类比得到左手介质矩形波导表面模的色散方程,并数值模拟了低阶模的场分布,结果表明,能量主要集中在波导的四个角区以及波导的边缘.     

Properties of single and multiple defect modes in one-dimensional photonic crystals containing left-handed metamaterials

Wave propagation is studied in structures consisting of alternate left- and right-handed layers.Bragg gap and zero-n gap appear in different frequency regions of the structure.The periodicity of the structure is broken by simply reversing the order of the layers in one half of the structure,resulting in defect modes located inside the zero-n gap and Bragg gap.These modes can be made very narrow by adding more layers in the structure.The defect mode located inside the zero-n gap is sensitive to the symmetry of the structure and insensitive to the angle of incidence of the incoming radiation.Multiple modes are also generated inside the gaps by repeating the structural pattern.Thus,a simple structure can be used for single and multiple modes that are important for different applications.     

Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs

We present an investigation on the propagation properties of the chirped Airy vortex(CAi V) beams through slabs of left-handed materials(LHMs) and right-handed materials(RHMs). We discuss the influence of chirped parameter C on the propagation of the CAi V beams through LHM and RHM slabs. Our simulation results show that a maximum accelerated velocity appears during the propagation process. The intensity concentration of the CAi V beams increases with the absolute value of the chirped parameter. The peak intensity of the CAi V beams changes abruptly, and the chirped parameter plays an active role on the difference of the maximum and the minimum. In the energy flow, we find that the effects of the chirped parameter on the strength of the vortex are different at different propagation distances.     

Band rules for the frequency spectra of three kinds of aperiodic photonic crystals with negative refractive index materials

By means of the theory of electromagnetic wave propagation and transfer matrix method, this paper investigates the band rules for the frequency spectra of three kinds of one-dimensional (1D) aperiodic photonic crystals (PCs), generalized Fibonacci GF(p,1), GF(1,2), and Thue--Morse (TM) PCs, with negative refractive index (NRI) materials. It is found that all of these PCs can open a broad zero-? gap, TM PC possesses the largest zero-? gap, and with the increase of p, the width of the zero-? gap for GF(p,1) PC becomes smaller. This characteristic is caused by the symmetry of the system and the open position of the zero-? gap. It is found that for GF(p,1) PCs, the possible limit zero-? gaps open at lower frequencies with the increase of p, but for GF(1,2) and TM PCs, their limit zero-? gaps open at the same frequency. Additionally, for the three bottom-bands, we find the interesting perfect self-similarities of the evolution structures with the increase of generation, and obtain the corresponding subband-number formulae. Based on 11 types of evolving manners Q_i(i=1,2,....,11) one can plot out the detailed evolution structures of the three kinds of aperiodic PCs for any generation.     

Zero-n gap soliton

Periodic structures consisting of alternating layers of positive-index and negative-index materials have a novel bandgap at the frequency at which the average refractive index is zero. We show that, in the presence of a Kerr nonlinearity, this zero-n gap can switch from low transmission to a perfectly transmitting state, forming a nonlinear resonance or gap soliton in the process. This zero-n gap soliton is omnidirectional, in contrast to the usual Bragg gap soliton of positive-index periodic structures.     

PBG-PCF基模特性全矢量平面波多极方法联合数值研究

用全矢量平面波方法与多极方法联合数值研究六重对称带隙型光子晶体光纤的基模特性.通过全矢量平面波方法可确定组成PBG-PCF的二维光子晶体的带隙,基模(束缚模)存在其频率要落在带隙内且须在k0a=βa的直线附近上部区域,在带隙外形成辐射(泄漏模).把频率作为输入变量用多极方法计算,数据导出用MATLAB数学软件作出模场分布图,结果发现,不是所有基模可能存在的区域都有基模存在,为带隙型光子晶体光纤的基模寻找提供一种可行的方法.     

Photonic band gap from a stack of positive and negative index materials

Layered heterostructures combining ordinary and negative refractive index materials are shown to display a new type of photonic band gap corresponding to zero (volume) averaged refractive index. Distinct from band gaps induced by Bragg scattering, the zero-n; gap is invariant upon a change of scale length and is insensitive to disorder that is symmetric in the random variable. A metallic structure that exhibits such a band gap is explicitly designed, and its properties are calculated with accurate finite difference time domain simulations.     

A new criterion for the mixed crystal behaviour in the diatomic linear chain model

Lucovsky, Brodsky, Burstein (LBB) have studied the behaviour of mixed crystals by setting up a criterion for the existence of local mode frequencies in real crystals starting from a diatomic linear chain model. This, while successfully predicting the one and two mode behaviour for some systems fails to predict the mixed mode behaviour. We propose a similar criterion for the existence of gap modes, by demanding that the gap mode predicted by the diatomic linear chain model should lie within the gap of the real three dimensional solid for its existence. It is shown that the gap modes for various systems calculated using this criterion are in reasonable agreement with the experimental values. The infrared behaviour of mixed crystals has to be determined by examining the existence of local as well as gap modes for the two end members of the system. This generalized new criterion successfully predicts the mixed mode behaviour of III–V mixed crystals besides predicting the one and two mode behaviour, observed in infrared absorption of mixed alkali halioes and III-V compounds.     

光纤中的电磁对偶变换与导波的模式分析

讨论了麦克斯韦方程在各向同性均匀电介质中的电磁对偶变换不变性,定义了电磁混合比,求出了对偶场的充要条件.把上述不变性和充要条件应用于阶跃光纤,分析其导波模式,证明在非轴对称情况下,阶跃光纤中不存在具有色散的受导简正模.存在的解只有临界折射模(n=n₂时的特解).求出了它的分立频谱.受导简正模只存在于轴对称情况中.以上结论与实验事实不矛盾,并由此解释了基模的特性 关键词： 光纤光学 光波导 电磁对偶变换 受导波