Effects of losses on the transmission and reflection in the single-negative materials

In this work, we investigate the angular dependence of transmission and reflection in the single-negative (SNG) materials. We consider a model structure of a SNG bilayer which consists of the epsilon-negative (ENG) and mu-negative (MNG) layers. The wave transmission and reflection properties due to the losses from the ENG and MNG materials are specifically investigated. With the presence of losses in the ENG and MNG materials, some unusual wave properties will be explored and numerically demonstrated.     

Ground state of alkaline-earth fermionic atoms in one-dimensional optical lattices

The properties of the wave transmission in the lossy single-negative (SNG) metamaterials are experimentally investigated. The model structure of lossy epsilon-negative (ENG) monolayer and SNG bilayer consisting of a lossy ENG material and a mu-negative (MNG) are considered in this work. Simulation and experimental results show that the transmittance of the lossy SNG materials can be enhanced by two approaches, increasing dissipation coefficient and increasing the thickness of the lossy SNG. The lossy ENG material is physically fabricated by using composite right- and left-handed transmission lines grafted with radiation unit cell. The experimental results are in very good agreement with the previous theoretical analysis.     

Trapping of electromagnetic wave in single-negative metamaterial waveguides

We study the trapping properties of transverse magnetic (TM) waves in single-negative metamaterial waveguides including epsilon-negative (ENG) metamaterial and mu-negative (MNG) metamaterial. The relationship between effective refractive index and reduced core width is analyzed when the permittivities of ENG and MNG metamaterials are different, and the inflection on this curve can be regarded as the trapping point. Simulation results show that the properties in an ENG–MNG–ENG metamaterial waveguide are contrary to that in a MNG–ENG–MNG metamaterial waveguide. The sensitivity of trapping point to the change of permittivity makes the single-negative metamaterial waveguides to be an effective method to detect the permittivity variation and can be used as a new kind of waveguide sensor.     

Resonant modes in photonic multiple quantum well structures with single-negative materials

A type of photonic multiple quantum well (PMQWs) structure made of two different photonic crystals (PCs) with two kinds of single-negative materials is investigated. It is demonstrated by transfer matrix method that omnidirectional resonance modes are generated. The number of the resonance modes can be controlled by adjusting the periodic structure of the constituents. The resonance tunneling modes are weak dependence on incident angle and the scaling of the barrier photonic crystals. When the losses are taken into account, the effects of the losses coming from ENG media and MNG media on the resonance modes are striking difference.     

Numerical simulations of negative-index refraction in a lamellar composite with alternating single negative layers

Negative-index refraction is demonstrated in a lamellar composite with epsilon-negative (ENG) and mu-negative (MNG) materials stacked alternatively. Based on the effective medium approximation, simultaneously negative effective permittivity and permeability of such a lamellar composite are obtained theoretically and further proven by full-wave simulations. Consequently, the renowned left-handed metamaterial comprising split ring resonators and wires is interpreted as an analogy of such ENG--MNG layers. In addition, beyond the effective medium approximation, the propagating field squeezed near the ENG/MNG interface is demonstrated to be left-handed surface waves with backward phase velocity.     

Energy transport in a metamaterial subwavelength open-cavity resonator

We present a theoretical and experimental investigation into the energy transport in a conjugate matched bilayer consisting of ε-negative (ENG) and μ-negative (MNG) slabs. It is proved that the conjugated matched ENG/MNG bilayer is a subwavelength open-cavity resonator, in which the resonance frequency is determined by the complete tunneling condition, and the Q factor increases exponentially with the slab thickness. It is revealed that the wave is not evanescent inside the bilayer, but it is a hybrid of a traveling wave and a reactive standing wave. It is also manifested during the transient wave propagation that the reactive field energy stored inside the bilayer is provided by the incident wave.     

Electromagnetic scattering from a perfect electromagnetic conductor circular cylinder coated with a metamaterial having negative permittivity and/or permeability

Electromagnetic scattering of an incident uniform plane wave from a perfect electromagnetic conductor (PEMC) circular cylinder, coated with a metamaterial is investigated theoretically. In the analysis the coating layer may be double-positive (DPS), double-negative (DNG), epsilon-negative (ENG) or mu-negative (MNG). It is assumed that both PEMC cylinder and the coating layer are infinite along the cylinder axis. Both parallel and perpendicular polarization cases are considered for the analysis. Comparison between the monostatic and bistatic echo widths, of a PEMC cylinder coated with metamaterial and coated with ordinary dielectric material (DPS), is presented. The numerical results are compared with the published literature, and comparison is found to be in good agreement.     

弹性波斜入射声子晶体的缺陷模及其转型

推导出弹性波斜入射固-固掺杂结构声子晶体的转移矩阵和透射系数公式.计算固-固掺杂结构声子晶体中弹性波的透射系数.得到当横波斜入射时,透射波中横波的缺陷模随着入射角的增大而减弱,横波向纵波的转型随着入射角的增大而增强.当纵波斜入射时,透射波中纵波的缺陷模随着入射角的增大而减弱,纵波向横波的转型随着入射角的增大而增强.     

Influence of absorption in the zero effective phase gap in one-dimensional photonic crystals containing single-negative materials

The transmission properties of one-dimensional (1D) photonic crystals containing two kinds of single-negative (ENG and MNG) material are investigated theoretically. A type of photonic gap with zero effective phases (zero-φ_eff) and the effects of absorption on the properties of the zero-φ_eff gap were shown. Specifically, it is demonstrated that strong absorption creates photon states inside the gap and this makes the band gap to be of zero width.     

基于传输线的单负材料双层结构的隧穿性质

通过传输线方法实现了负介电常数(ENG)和负磁导率(MNG)材料,并在实验上研究了由两种单负材料组成的双层结构(ENG-MNG)的电磁隧穿性质.结果表明,两种单负材料均不支持电磁波的传播,然而ENG-MNG双层结构在结构的平均介电常数和平均磁导率分别为零的条件下,具有完全隧穿模,并且这一隧穿模不随着结构尺度的改变而改变.在隧穿频率点,通过对ENG-MNG双层结构中电场分布的模拟与测量,实验上观察到了倏逝场的指数放大.     

Time-domain investigation of the tunneling modes in photonic heterostructure containing single-negative materials

We present a theoretical investigation into the energy transport and transient wave propagation in metamaterial tunneling structures consisting of ??-negative (ENG) and ??-negative (MNG) materials. It is proved that a conjugated matched ENG/MNG bilayer and a (zero-index-material doped) photonic crystal heterostructure can work as a sub-wavelength resonator at tunneling frequency. The tunneling modes need a certain time to achieve the steady state and the charge up characteristic time increases (nearly) exponentially with the thickness of the structures. Under the steady state, the wave in the single-negative-material structures is not evanescent, but a hybrid of a traveling wave and a reactive standing wave. The phase difference between the electric field and the magnetic field varies with the position and time. The investigation of transient wave propagation in the metamaterial tunneling structures will help us to understand the interaction process between wave and metamaterial and to design special functional apparatus.     

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。     

损耗型单负材料双层结构的反射率及偏振度

通过传输矩阵法,理论研究了损耗型单负材料双层结构在不同入射角时的反射率和偏振度。结果表明,损耗型单负材料双层结构不同于常规介电材料,随着入射角的增大,p分量反射率比s分量的反射率大。随着损耗(电损耗和磁损耗)的增大,p波的反射率和s波的反射率差异减小,直到重合,偏振度变为0。对于损耗型单负材料双层结构,当MNG层厚度增大时,偏振度变化幅度减小;而当ENG层厚度增大时,偏振度变化幅度增大。     

Symmetry breaking of optical vortices: birth and annihilation of singularities in the evanescent field

The interaction of optical vortices (or phase singularities, or screw dislocations) with ordinary matter is treated with a simple approach. Using the total internal reflection phenomenon and the superposition of four plane waves incident on a material with a refractive index lower than the original propagating medium, we are able to show the birth and annihilation of optical vortices in an evanescent field with curved topological features. Until now, this phenomenon has been explored only in free space propagation. By a suitable tuning process involving the incident angles and the amplitudes of the incident plane waves, it is possible to create unusual topological features of optical vortices in the vicinity of the material. We believe that this work can open new aspects of curved optical vortex manipulation in near-field optics.     

Diffraction efficiency of sequentially stored gratings in reflection volume holograms

On the basis of the theory of coupled waves the amplitudes of the first-order diffracted waves and the diffraction efficiency is calculated for sequentially superposed phase gratings stored in dielectric reflection holograms. The investigations are restricted to the case of a fixed reference wave during recording and Bragg-angle incidence.By analogy to the transmission volume grating the coupling effects which appear between incident beams and diffracted waves give the possibility of building up beam-couplers and -splitters with certain coupling parameters determined by the recording process. Moreover, reflection gratings allow a favourable combination between coupling and reflecting properties and avoid the diffraction efficiency oscillations that are characteristic of transmission gratings. The performance of the reconstruction process with several waves simultaneously allows the tuning of the intensities of diffracted waves with dependence on amplitude or phase differences between incident beams.     

Rayleigh wave scattering from a vertical edge of isotropic substrates

The paper numerically studies the harmonic Rayleigh wave scattering at the 90-degree corner of isotropic substrate. The finite element method is used. The main attention is paid to two cases. The first one is the apex of the substrate corner is rounded off. The second one consists in that a layer of foreign material is deposited on the face which scatters the Rayleigh wave. The dependence of the reflection and the transmission coefficients on the Poisson ratio, the angle of incidence, the fillet radius, and the layer thickness are obtained. It is found that if the Rayleigh wave is incident perpendicularly to the substrate border, then the fillet of small radius as compared to the wavelength increases the reflection coefficient and decreases the transmission coefficient by factors 1.3–1.8. At normal incidence, the Poisson ratio does not change qualitatively the dependence of the reflection and transmission coefficients on the fillet radius. But the Poisson ratio can substantially affect the angle dependence of these coefficients if the wave is incident obliquely on the corner rounded off. It is also found out that a layer can modify the conditions of scattering such that the incident wave is totally reflected without transmission and conversion into bulk waves in a wide interval of angle of incidence, although, in principle, the bulk wave generation is allowed within a part of this angle interval.     

Reflection and transmission of plane waves at the interface of pyroelectric bi-materials

A simple reflection and transmission theory of plane waves at the interface of pyroelectric media is studied in this paper. In an infinite homogeneous pyroelectric medium, there are four bulk wave modes: quasi-longitudinal (QL), two quasi-transversal (QT) and one temperature (T) waves, whose velocities depend on the frequency and incident angle. Simultaneously, a quasi-surface (QS) wave on each side of the interface of pyroelectric bi-materials will appear in the general reflection and transmission problem. The quasi-surface wave has the same wave vector component with the incident waves along the interface plane. So, the reflection and transmission problem is different with the propagation wave in the infinite homogeneous space, but it is still solvable. In the reflection and transmission problem, there are ten complex continuous conditions on the interface, which are satisfied by the bulk and quasi-surface waves together. Numerical calculations are performed for bi-material PZT-6B/BaTiO₃. Incidences of the quasi-longitudinal and quasi-transversal waves from the side of PZT-6B or BaTiO₃ medium are discussed. The reflection and transmission amplitude coefficients and energy flow ratios varying with the incident angle are examined.     

基于二维特异材料波导的表面电磁波的慢波实验研究

本文在理论分析的基础上,实验研究了二维MNG/DPS/MNG(磁单负材料/双正材料/磁单负材料)表面波波导中的慢波效应.该波导的色散曲线随着电路参数(单元电容)的改变而改变,而且在色散曲线的截止频率点,电磁波的群速度理论上等于零.因此可以通过改变MNG区域的电路参数,得到在不同截止频率的慢波特性.另外,本文还通过改变MNG区域的电路参数实现在某一固定频率下波速度渐变的慢波效应.实验结果与仿真结果相一致.     

用传输矩阵法(TMM)研究二维光子晶体传输特性

将传输矩阵法(TMM)用于光子晶体传输特性的理论研究，采用Mur近似吸收边界和周期边界来截断计算区域，研究了以TM模正入射时，二维方格子光子晶体在完整周期结构下和有缺陷结构下的透过率谱；在微波波段制作了光子晶体模型，并设计了实验装置；实验与数值模拟计算取得了基本一致的结果。     

Lamellar model of the left-handed metamaterials composed of metallic split-ring resonators and wires

Left-handed materials composed of split ring resonators (SRRs) and wires are investigated in the viewpoint of lamellar composite with epsilon-negative (ENG) and mu-negative (MNG) materials staked alternatively. Several configurations of the SRR-wire metamaterial are numerically simulated to confirm its left-handed response as an analogy to the ENG-MNG lamellar model.