Resolution of the Abraham-Minkowski controversy

The momentum of light inside ponderable media has an electromagnetic part and a mechanical part. The local and instantaneous density of the electromagnetic part of the momentum is given by the Poynting vector divided by the square of the speed of light in vacuum, irrespective of the nature of the electromagnetic fields or the local or global properties of the material media. The mechanical part of the momentum is associated with the action of the electromagnetic field on the atomic constituents of the media, as specified by the Lorentz law of force. Proper interpretation and application of the Maxwell-Lorentz equations within the material bodies as well as at their surfaces and interfaces is all that is needed to obtain a complete picture of the momentum of light, including detailed numerical values at each and every point in space and time. That the Abraham-Minkowski controversy surrounding the momentum of light inside material media has persisted for nearly a century is due perhaps to an insufficient appreciation for the completeness and consistency of the macroscopic Maxwell-Lorentz theory, inadequate treatment of the electromagnetic force and torque at the material boundaries, and an undue emphasis on the necessity of coupling the equations of electrodynamics to those of the theory of elasticity for proper treatment of mechanical momentum. The present paper reports the resolution of the Abraham-Minkowski controversy within the framework of the classical theory of electrodynamics, without resort to such complicating and ultimately unnecessary factors as pseudo-momentum, special surface forces, alternative energy-momentum tensors, and hidden momenta, that have caused so much confusion for such a long period of time.     

Left-handed interfaces for electromagnetic surface waves

We show that surface electromagnetic waves (SEMWs) propagating along two-dimensional (2D) interfaces separating different metamaterials can behave analogously to 3D electromagnetic waves in either usual or left-handed media, depending on the permeabilities and/or permittivities of the two materials forming the interface. We derive the conditions when SEMWs carry energy opposite to the phase velocity. In analogy to three-dimensional (3D) left-handed media, we derive both an anomalous Cherenkov emission and a reversed Doppler effect. We also predict a negative refraction at the boundary between two different interfaces, which can be useful for perfect 2D lensing.     

左手系材料界面上的非线性TE电磁波

针对电磁波在非线性左手系材料中的传播性质, 分别研究了左、右手系材料界面以及两左手系材料界面上非线性TE表面波的传播行为讨论了导波的频率特性、色散关系以及群速度随频率的变化规律分析表明,两种界面上的非线性TE表面波均存在频率通带和禁带,且带宽是传播功率的函数揭示了在一定条件下,左、右手系材料界面上既可以支持正向传播的非线性TE表面波,也可以支持反向传播的非线性TE表面波;两左手系材料界面上表面波的传播性质因材料参量的变化差异较大,一定参量条件下,该界面上仅支持反向传播的非线性TE表面波.     

Surface-wave mechanism of subwavelength imaging by a flat left-handed superlens

We develop a theory describing the dynamics and interaction of electromagnetic surface waves (ESWs) resonantly excited by an external source in a slab of left-handed material (LHM) with identical negative (equal to −1) values of dielectric permittivity and magnetic permeability that makes up a so-called perfect lens, or a superlens. We show that subwavelength imaging by a superlens is associated with the degeneracy of the spectrum of eigen electromagnetic surface modes at the interfaces of the metamaterial slab, whereas the dynamic response of the superlens is completely determined by the dynamics of these modes and the dispersion properties of the metamaterial. We obtain conditions that enable one to find out when a superlens produces subwavelength images of an external source. We consider the cases of a stationary and a pulse source, as well as of a source that moves with constant velocity or oscillates in space.     

Division of the energy and of the momentum of electromagnetic waves in linear media into electromagnetic and material parts

We defend a natural division of the energy density, energy flux and momentum density of electromagnetic waves in linear media in electromagnetic and material parts. In this division, the electromagnetic part of these quantities have the same form as in vacuum when written in terms of the macroscopic electric and magnetic fields, the material momentum is calculated directly from the Lorentz force that acts on the charges of the medium, the material energy is the sum of the kinetic and potential energies of the charges of the medium and the material energy flux results from the interaction of the electric field with the magnetized medium. We present reasonable models for linear dispersive non-absorptive dielectric and magnetic media that agree with this division. We also argue that the electromagnetic momentum of our division can be associated with the electromagnetic relativistic momentum, inspired on the recent work of Barnett [Phys. Rev. Lett. 104 (2010) 070401] that showed that the Abraham momentum is associated with the kinetic momentum and the Minkowski momentum is associated with the canonical momentum.     

左手介质中电磁波的传播速度

在同向介质中,电磁波的群速度一般是能量传播的方向,并且电磁波的相速度和群速度在大部分情况下都满足瑞利关系.为了研究左手介质的电磁特性,本文从理论上导出了左手介质中电磁波的相速度、群速度及其关系,得出左手介质中电磁波的群速度为负,并介绍了左手介质的一些应用前景.     

THz频段单面左手材料的设计及仿真研究

本文运用等效参数提取方法验证了双线螺旋结构在不同频率处不仅能够实现负的磁导率, 而且可以实现负的介电常数. 在电磁波平行和垂直入射到双线螺旋结构表面两种情况下, 发现其负介电常数的形成机理相同. 以往的单面左手材料的研究仅仅局限于微波波段, 通过改进双线螺旋结构, 在THz频段设计出一种新型单面左手材料, 同时利用LC等效电路解释了其设计原理. 一般的左手材料是由刻蚀在基板两侧的电谐振器和磁谐振器组合而成的复合结构, 与这些复合结构相比, 这种新型单面左手材料具有低损耗, 结构简单, 易于加工等优点.     

Antiferromagnetic material with the magnetoelectric effect as an example of a left-handed medium

The propagation of electromagnetic waves in an antiferromagnetic material with the magnetoelectric effect is theoretically studied. The frequency dependences of the wavenumbers, dynamical permeability and permittivity, and reflection coefficient of electromagnetic waves for various energy parameters of the antiferromagnetic material have been obtained. It has been shown that there is a frequency range where the dynamical permeability and permittivity, as well as one of the wavenumbers, are simultaneously negative in the antiferromagnetic material with the magnetoelectric effect. In this case, the antiferromagnetic material is an example of a so-called left-handed medium. The reflection coefficient of electromagnetic waves from the surface of the antiferromagnetic material decreases anomalously in this frequency range.     

基于双Z形金属条的双入射型左手材料研究

提出了一种新型二维左手材料结构单元,该结构由介质板及其两侧放置的两个反向对称的Z形金属条组成.在电磁波垂直于介质板和平行于介质板入射两种情况下,这种结构单元于X波段均表现出左手通带特性.通过模拟仿真,提取等效电磁参数,建立等效磁谐振电路模型,分析验证了该结构的左手特性.并将双Z形结构与相似的工字形结构相比较,发现在电磁波垂直入射时两种结构均出现相似的左手通带,而在电磁波平行入射时,只有双Z形结构实现了双负特性.结果表明这种双Z形左手单元结构具有更优越的电磁波入射适应特性,即实现了双入射型左手结构单元. 关键词： 双Z形结构 二维 左手材料 双入射     

高聚焦高斯光束对左手性材料球轴向力的光线模型计算

采用几何光线模型, 将基模高聚焦高斯光束对微米量级介电球和左手性材料球的轴向作用力进行了理论推导和数值模拟, 并对介电球和左手性小球的受力进行了比较. 对于介电球, 可以实现单光束陷阱捕陷介电球; 在右手性材料环境中的左手性材料小球, 受到的轴向作用力总是沿光传播的方向, 激光和左手性材料球的参数共同决定轴向力的最大值出现在光轴上的位置. 而在相对折射率较小时, 左手性材料小球的受力是介电球的百倍. 关键词： 基模高斯光束 几何光线模型 轴向作用力 左手性材料     

基于多开口田字形宽频带低损耗左手材料

提出了一种基于多开口田字形单元结构实现材料左手特性的设计方案.该结构是在介质基板单侧集成电、磁谐振器形成左手单元.通过理论分析、软件仿真、加工测试、提取有效电磁参数,结果表明该结构在12.7—21.1 GHz范围内具有双负特性(等效介电常数ε0,等效磁导率μ0),基本覆盖Ku波段,绝对带宽可达8.4 GHz,单元损耗低于0.3 d B.同传统的左手材料相比,该结构以更小的单元尺寸,更低的损耗实现了更宽的左手频带,为宽频带、低损耗微波左手材料的设计及广泛应用提供了重要参考.     

Research of electromagnetic field in different length left-handed material slab

Finite-difference time-domain （FDTD） method is used to simulate the propagation of electromagnetic wave in left-handed material slab （LHMs） with cold plasma model The effects of optical propagation in the left-handed material compared to convex lens are discussed. The wider the LHMs is, the stronger electric field of focusing image in left-handed material slab is confirmed by the simulation with various slab length. However, the outer image point location would slightly moves to the LHMs side when the length of LHMs is reduced.     

基于双三角形金属条的二维可衍生超材料性能分析

基于两宽金属条中间引入两交叉细长金属线的双三角形结构, 提出了一种新型二维超材料结构.利用HFSS软件对该结构及其衍生结构进行仿真分析, 结果表明: 该类形结构在电磁波垂直和平行两种入射情况下都能实现双负特性, 通过比较分析归纳出该类形结构的一般规律: 电磁波以垂直和水平两种方式入射时, 中间引入的金属线个数每增加一根, 结构的谐振频率向高频方向分别移动0.5 GHz和4 GHz左右.对多维左手材料的发展提供了参考.     

左手材料与非线性光学材料界面处的内光学双稳态

从理论及数值上研究了左手材料与传统非线性材料界面处的电磁波性质。发现在界面处出现一种新的现象——光学双稳态。入射光强、入射角以及左手材料与非线性材料的磁导率比值强烈的影响光学双稳态的行为。比较了不同的电磁模式对双稳态行为的影响。结果表明在相同的参数下，TE模式比TM模式更容易获得光学双稳态。     

Parametrically shielding electromagnetic fields by nonlinear metamaterials

An analytical theory is developed for parametric interactions in metamaterial multilayer structures with simultaneous nonlinear electronic and magnetic responses and with a near-zero refractive index. We demonstrate theoretically that electromagnetic fields of certain frequencies can be parametrically shielded by a nonlinear left-handed material slab, where the permittivity and permeability are both negative. The skin depth is tunable, and even in the absence of material absorption, can be much less than the wavelength of the electromagnetic field being shielded. This exotic behavior is a consequence of the intricate nonlinear response in the left-handed materials and vanishing optical refractive index at the pump frequency.     

Enhanced transmission by a grating composed of left-handed materials

We present a detailed theoretical analysis about the influence of surface polaritons on the transmission properties of electromagnetic waves at the periodically corrugated interface between the vacuum and left-handed material by using nonlinear boundary condition approach. The principle behind this approach is to match the wave fields across the grating interface by using a set of linear wave equation with nonlinear boundary conditions. The resonant transmission of the incident electromagnetic radiation in this structure is feasible within a certain frequency band, where there is a range of frequency over which both the electric permittivity and the magnetic permeability are simultaneously negative. The enhanced transmission is attributed to the coupling of the incident electromagnetic wave with the excited surface polaritons on grating interface. Finally, we present the numerical results illustrating the effect of the structural parameters and angle of incidence on the transmission spectra of a TM polarized electromagnetic wave.     

Investigation of optical properties of Tamm states in higher bands of multilayer stacks including right and left handed materials

We study the electromagnetic surface wave localizing, the so-called surface Tamm states, at an interface separating a left-handed metamaterial (LHM) and a semi-infinite one-dimensional photonic crystal made of alternative left-handed metamaterial and right-handed materials. We show that the existence of metamaterial causes the Tamm states with backward energy flow and allows flexible control of dispersion properties of the surface modes. We study the effect of the physical parameters of the photonic crystal on the dispersion properties and the group velocity of the Tamm states. We also study dispersion properties of the Tamm states in higher order photonic band gaps of the photonic crystal and compare our results with the case when the LHM medium is replaced by a right-handed material (RHM).     

Influence of the dielectric-spacer thickness on the left-handed behavior of fishnet metamaterial structure

We investigated the effects of dielectric-spacer thickness on the left-handed behavior of a symmetric fishnet-like metamaterial working at microwave frequency. The left-handed behavior was demonstrated and characterized by the standard retrieval procedure. The thickness of spacer was varied in order to examine the electromagnetic response of the fishnet structure. It was found that the changed thickness can cause different pictures of the left-handed behavior based on the electric-magnetic correlation.     

The anomalous radiation force of light on a left-handed material

This paper derives the force of the electromagnetic radiation on left-handed materials (LHMs) by a direct applica-tion of the Lorentz law of classical electrodynamics.The expressions of radiation force are given for TE-polarised and TM-polarised fields.The numerical results demonstrate that electromagnetic waves exert an inverse lateral radiation force on each edge of the beams,that is,the lateral pressure is expansive for TE-polarised beams and compressive for TM-polarised beams.The investigation of the radiation force will provide insights into the fundamental properties of LHMs and will provide to better understanding of the interaction of light with LHMs.     

Ion larmour radius effect on rf ponderomotive forces and induced poloidal flow in tokamak plasmas

Analytical approximations are used to clarify the effect of Larmour radius on rf ponderomotive forces and on poloidal flows induced by them in tokamak plasmas. The electromagnetic force is expressed as a sum of a gradient part and of a wave momentum transfer force, which is proportional to wave dissipation. The first part, called the gradient electromagnetic stress force, is combined with fluid dynamic (Reynolds) stress force, and gyroviscosity is included into viscosity force to model finite ion Larmour radius effects in the momentum response to the rf fields in plasmas. The expressions for the relative magnitude of different forces for kinetic Alfven waves and fast waves are derived.